## McLachlan, Geoffrey John

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 Author ID: mclachlan.geoffrey-john Published as: McLachlan, Geoffrey J.; McLachlan, Geoffrey; Mclachlan, Geoffrey J.; McLachlan, Geoffrey John; Mclachlan, G. J.
 Documents Indexed: 119 Publications since 1972, including 6 Books 2 Contributions as Editor · 1 Further Contribution Co-Authors: 51 Co-Authors with 67 Joint Publications 616 Co-Co-Authors
all top 5

### Co-Authors

 29 single-authored 21 Nguyen, Hien Duy 15 Lee, Sharon X. 8 Ng, Shu-Kay 7 Ganesalingam, Selvanayagam 5 Ahfock, Daniel C. 5 Wang, Kui 4 Lawoko, Charles Richard Ogiki 4 Lee, Andy H. 4 Lin, Tsung I. 4 Yau, Kelvin K. W. 3 Ambroise, Christophe 3 Byth, Karen 3 Janke, Andrew L. 3 Jones, P. N. 3 Lloyd-Jones, Luke R. 3 Pyne, Saumyadipta 2 Chamroukhi, Faicel 2 Huang, Tian-Hsiang 2 Krishnan, Thriyambakam 2 Nguyen, TrungTin 2 Nikulin, Vladimir 2 Peel, David A. 2 Rathnayake, Suren I. 2 Ullmann, Jeremy F. P. 2 Wood, Ian A. 1 Basford, Kaye Enid 1 Bean, Richard Winston 1 Bellec, Pierre C. 1 Bhansali, Rajendra J. 1 Böhning, Dankmar 1 Cameron, Ewan 1 Chang, S. U. 1 Charnigo, Richard 1 Chopin, Nicolas 1 Claeskens, Gerda 1 Do, Kim-Anh 1 Draper, David 1 Drovandi, Christopher C. 1 Drton, Mathias 1 Farzammehr, Mohadeseh Alsadat 1 Ferreira, Guillermo P. 1 Forbes, Florence 1 Friel, Nial 1 Frisoli, Kayla 1 Govaert, Gérard 1 Hawkins, Douglas M. 1 Hennig, Christian 1 Hillman, Elizabeth M. C. 1 Hjort, Nils Lid 1 Holt, J. N. 1 Imai, Toru 1 Ingrassia, Salvatore 1 Jones, Andrew T. 1 Jones, L. Ben-Tovim 1 Kuriki, Satoshi 1 Kuroki, Manabu 1 Leo, Sharon X. 1 Lerch, Jason 1 Li, Wenze 1 Ling, Yurong 1 Longford, Nicholas Tibor 1 Lorenzi, Elizabeth 1 Mateu, Jorge 1 Mattei, Pierre-Alexandre 1 McKeone, James P. 1 McNicholas, Paul D. 1 Moreno, Elías 1 Nugent, Rebecca 1 Oates, Chris J. 1 Orban, Pierre 1 Pettitt, Anthony N. 1 Quinn, Barry G. 1 Racugno, Walter 1 Raftery, Adrian E. 1 Reutens, David C. 1 Robert, Christian P. Robert 1 Rousseau, Judith 1 Scot, D. 1 Scott, Jane A. 1 South, Leah F. 1 Stehlík, Milan 1 Sumpton, Wayne 1 Tawiah, Richard 1 Ventura, Laura 1 Viroli, Cinzia 1 Voleti, Venkatakaushik 1 Wang, Dianhui 1 Wang, Kent 1 Wang, Wan-Lun 1 Wang, Yougan 1 White, Arthur T. 1 Wu, Pal H. 1 Wyse, Jason 1 Xue, Jing-Hao 1 Yang, Xiaochen 1 Yee, Yohan 1 Zadkarami, Mohammad Reza 1 Zhao, Yun 1 Zhu, Rui
all top 5

### Serials

 11 Computational Statistics and Data Analysis 9 Biometrics 8 Communications in Statistics. Theory and Methods 6 Pattern Recognition 6 Statistics and Computing 5 The Australian Journal of Statistics 5 Technometrics 5 Statistics & Probability Letters 4 Biometrical Journal 4 Advances in Data Analysis and Classification. ADAC 3 Biometrika 3 Journal of the American Statistical Association 3 Journal of Multivariate Analysis 3 Communications in Statistics. Simulation and Computation 3 Journal of Statistical Computation and Simulation 2 Neural Computation 2 Test 2 Journal of Applied Statistics 2 Statistical Methods in Medical Research 2 Statistical Methods and Applications 2 Wiley Series in Probability and Statistics 2 Wiley Series in Probability and Mathematical Statistics 1 Bulletin of the Australian Mathematical Society 1 Information Sciences 1 Journal of Statistical Planning and Inference 1 Statistica 1 Statistica Neerlandica 1 Journal of the Royal Statistical Society. Series C. Applied Statistics 1 Mathematical and Computer Modelling 1 Journal of the Royal Statistical Society. Series B 1 Proceedings of the National Academy of Sciences of the United States of America 1 Computers and Mathematics with Applications. Part A 1 Far East Journal of Mathematical Sciences 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Statistical Modelling 1 SORT. Statistics and Operations Research Transactions 1 International Journal of Computational Intelligence and Applications 1 Statistical Methodology 1 Statistics: Textbooks and Monographs 1 Statistical Analysis and Data Mining 1 Journal of Statistical Distributions and Applications 1 Japanese Journal of Statistics and Data Science 1 Cogent Mathematics & Statistics
all top 5

### Fields

 116 Statistics (62-XX) 14 Numerical analysis (65-XX) 10 Computer science (68-XX) 10 Biology and other natural sciences (92-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

90 Publications have been cited 2,965 times in 2,025 Documents Cited by Year
Finite mixture models. Zbl 0963.62061
McLachlan, Geoffrey; Peel, David
2000
The EM algorithm and extensions. Zbl 0882.62012
McLachlan, Geoffrey J.; Krishnan, Thriyambakam
1997
Mixture models: inference and applications to clustering. Zbl 0697.62050
McLachlan, Geoffrey J.; Basford, Kaye E.
1988
The EM algorithm and extensions. 2nd ed. Zbl 1165.62019
McLachlan, Geoffrey J.; Krishnan, Thriyambakam
2008
Discriminant analysis and statistical pattern recognition. 2nd printing. Zbl 1108.62317
McLachlan, Geoffrey J.
2004
Modelling high-dimensional data by mixtures of factor analyzers. Zbl 1256.62036
McLachlan, G. J.; Peel, D.; Bean, R. W.
2003
On mixtures of skew normal and skew $$t$$-distributions. Zbl 1273.62115
Lee, Sharon X.; McLachlan, Geoffrey J.
2013
Finite mixtures of multivariate skew $$t$$-distributions: some recent and new results. Zbl 1325.62107
Lee, Sharon; McLachlan, Geoffrey J.
2014
Selection bias in gene extraction on the basis of microarray gene-expression data. Zbl 1034.92013
Ambroise, Christophe; McLachlan, Geoffrey J.
2002
Analyzing microarray gene expression data. Zbl 1140.92010
McLachlan, Geoffrey J.; Do, Kim-Anh; Ambroise, Christophe
2004
Multi-level zero-inflated Poisson regression modelling of correlated count data with excess zeros. Zbl 1152.62083
Lee, Andy H.; Wang, Kui; Scott, Jane A.; Yau, Kelvin K. W.; McLachlan, Geoffrey J.
2006
Finite mixtures of canonical fundamental skew $$t$$-distributions. The unification of the restricted and unrestricted skew $$t$$-mixture models. Zbl 1420.60020
Lee, Sharon X.; McLachlan, Geoffrey J.
2016
Fitting mixture models to grouped and truncated data via the EM algorithm. Zbl 0707.62214
McLachlan, G. J.; Jones, P. N.
1988
Model-based clustering and classification with non-normal mixture distributions. Zbl 1332.62209
Lee, Sharon X.; McLachlan, Geoffrey J.
2013
High-breakdown linear discriminant analysis. Zbl 0889.62052
Hawkins, Douglas M.; McLachlan, Geoffrey J.
1997
The efficiency of a linear discriminant function based on unclassified initial samples. Zbl 0389.62045
Ganesalingam, S.; McLachlan, G. J.
1978
The classification and mixture maximum likelihood approaches to cluster analysis. Zbl 0513.62064
McLachlan, G. J.
1982
Extending mixtures of factor models using the restricted multivariate skew-normal distribution. Zbl 1328.62378
Lin, Tsung-I; McLachlan, Geoffrey J.; Lee, Sharon X.
2016
An asymptotic unbiased technique for estimating the error rates in discriminant analysis. Zbl 0288.62027
McLachlan, G. J.
1974
A note on bias correction in maximum likelihood estimation with logistic discrimination. Zbl 0453.62046
McLachlan, G. J.
1980
Some efficiency results for the estimation of the mixing proportion in a mixture of two normal distributions. Zbl 0498.62049
Ganesalingam, S.; McLachlan, G. J.
1981
Laplace mixture of linear experts. Zbl 1468.62147
Nguyen, Hien D.; McLachlan, Geoffrey J.
2016
A Bayesian information criterion for singular models. With discussion and authors’ reply. Zbl 1414.62088
Drton, Mathias; Plummer, Martyn
2017
Estimating the linear discriminant function from initial samples containing a small number of unclassified observations. Zbl 0369.62060
McLachlan, Geoffrey John
1977
A robust factor analysis model using the restricted skew-$$t$$ distribution. Zbl 1327.62344
Lin, Tsung-I; Wu, Pal H.; McLachlan, Geoffrey J.; Lee, Sharon X.
2015
Iterative reclassification procedure for constructing an asymptotically optimal rule of allocation in discriminant analysis. Zbl 0319.62038
McLachlan, G. J.
1975
The bias of the apparent error rate in discriminant analysis. Zbl 0331.62042
McLachlan, G. J.
1976
An asymptotic expansion of the expectation of the estimated error rate in discriminant analysis. Zbl 0286.62041
McLachlan, G. J.
1973
A case study of two clustering methods based on maximum likelihood. Zbl 0404.62035
Ganesalingam, S.; McLachlan, G. J.
1979
Confidence intervals for the conditional probability of misallocation in discriminant analysis. Zbl 0312.62046
McLachlan, G. J.
1975
The asymptotic distributions of the conditional error rate and risk in discriminant analysis. Zbl 0276.62061
McLachlan, G. J.
1974
Estimation of the errors of misclassification on the criterion of asymptotic mean square error. Zbl 0283.62051
McLachlan, G. J.
1974
A criterion for selecting variables for the linear discriminant function. Zbl 0334.62023
McLachlan, G. J.
1976
Further results on the effect of intraclass correlation among training samples in discriminant analysis. Zbl 0351.62041
McLachlan, G. J.
1976
Some asymptotic results on the effect of autocorrelation on the error rates of the sample linear discriminant function. Zbl 0515.62059
Lawoko, C. R. O.; McLachlan, G. J.
1983
Assessing the performance of an allocation rule. Zbl 0607.62067
McLachlan, G. J.
1986
A note on the Aitkin-Rubin approach to hypothesis testing in mixture models. Zbl 0636.62043
Quinn, B. G.; McLachlan, G. J.; Hjort, N. L.
1987
Updating a discriminant function on the basis of unclassified data. Zbl 0507.62063
McLachlan, G. J.; Ganesalingam, S.
1982
Robust mixtures of factor analysis models using the restricted multivariate skew-$$t$$ distribution. Zbl 07289498
Lin, Tsung-I; Wang, Wan-Lun; Mclachlan, Geoffrey J.; Lee, Sharon X.
2018
On the relationship between the F test and the overall error rate for variable selection in two-group discriminant analysis. Zbl 0442.62046
McLachlan, G. J.
1980
On a resampling approach for tests on the number of clusters with mixture model-based clustering of tissue samples. Zbl 1052.65006
McLachlan, G. J.; Khan, N.
2004
The relationship in terms of asymptotic mean square error between the separate problems of estimating each of the three types of error rate of the linear discriminant function. Zbl 0294.62070
McLachlan, G. J.
1974
Mixture models for clustering multilevel growth trajectories. Zbl 1471.62149
Ng, S. K.; McLachlan, G. J.
2014
Error rate estimation on the basis of posterior probabilities. Zbl 0461.62052
Ganesalingam, S.; McLachlan, G. J.
1980
A note on the choice of a weighting function to give an efficient method for estimating the probability of misclassification. Zbl 0356.62052
McLachlan, G. J.
1977
The biases associated with maximum likelihood methods of estimation of the multivariate logistic risk function. Zbl 0392.62037
Byth, K.; McLachlan, G. J.
1978
Two-component Poisson mixture regression modelling of count data with bivariate random effects. Zbl 05241250
Wang, Kui; Yau, Kelvin K. W.; Lee, Andy H.; McLachlan, Geoffrey J.
2007
On modifications to the long-term survival mixture model in the presence of competing risks. Zbl 0940.62094
Ng, S. K.; McLachlan, G. J.
1998
Asymptotic relative efficiency of the linear discriminant function under partial nonrandom classification of the training data. Zbl 0842.62051
McLachlan, G. J.; Scot, D.
1995
A comparison of the mixture and classification approaches to cluster analysis. Zbl 0465.62053
Ganesalingam, S.; McLachlan, G. J.
1980
Mixtures of spatial spline regressions for clustering and classification. Zbl 1468.62148
Nguyen, Hien D.; McLachlan, Geoffrey J.; Wood, Ian A.
2016
The efficiency of Efron’s ”Bootstrap” approach applied to error rate estimation in discriminant analysis. Zbl 0442.62047
McLachlan, G. J.
1980
Constrained sample discrimination with the Studentized classification statistic W. Zbl 0365.62052
McLachlan, G. J.
1977
Mixture modelling for cluster analysis. Zbl 1053.62076
McLachlan, G. J.; Chang, S. U.
2004
Comment on “On nomenclature, and the relative merits of two formulations of skew distributions” by A. Azzalini, R. Browne, M. Genton, and P. McNicholas. Zbl 1376.60029
McLachlan, Geoffrey J.; Lee, Sharon X.
2016
An asymptotic expansion for the variance of the errors of misclassification o f the linear discriminant function. Zbl 0241.62040
McLachlan, G. J.
1972
Asymptotic results for discriminant analysis when the initial samples are misclassified. Zbl 0244.62046
McLachlan, G. J.
1972
Asymptotic error rates of the W and Z statistics when the training observations are dependent. Zbl 0623.62052
Lawoko, C. R. O.; McLachlan, G. J.
1986
Editorial: The 2nd special issue on advances in mixture models. Zbl 1469.00037
2014
Maximum likelihood estimation of Gaussian mixture models without matrix operations. Zbl 1416.65046
Nguyen, Hien D.; McLachlan, Geoffrey J.
2015
A universal approximation theorem for mixture-of-experts models. Zbl 1474.68266
Nguyen, Hien D.; Lloyd-Jones, Luke R.; McLachlan, Geoffrey J.
2016
Rejoinder to the discussion of “Model-based clustering and classification with non-normal mixture distributions”. Zbl 1332.62210
Lee, Sharon X.; McLachlan, Geoffrey J.
2013
Approximation by finite mixtures of continuous density functions that vanish at infinity. Zbl 07273108
Nguyen, T. Tin; Nguyen, Hien D.; Chamroukhi, Faicel; McLachlan, Geoffrey J.
2020
A globally convergent algorithm for Lasso-penalized mixture of linear regression models. Zbl 1469.62109
Lloyd-Jones, Luke R.; Nguyen, Hien D.; McLachlan, Geoffrey J.
2018
Selection bias in working with the top genes in supervised classification of tissue samples. Zbl 1248.92023
Zhu, X.; Ambroise, C.; Mclachlan, G. J.
2006
A comparison of the estimative and predictive methods of estimating posterior probabilities. Zbl 0412.62039
McLachlan, G. J.
1979
On the bias and variance of some proportion estimators. Zbl 0508.62045
McLachlan, G. J.
1982
Parametric estimation in a genetic mixture model with application to nuclear family data. Zbl 0824.62099
Shoukri, M. M.; McLachlan, G. J.
1994
Maximum likelihood estimation from grouped and truncated data with finite normal mixture models. Zbl 0715.62056
Jones, P. N.; McLachlan, G. J.
1990
Error rate estimation in discriminant analysis: recent advances. Zbl 0644.62066
McLachlan, G. J.
1987
Deep Gaussian mixture models. Zbl 1430.62143
Viroli, Cinzia; McLachlan, Geoffrey J.
2019
Progress on a conjecture regarding the triangular distribution. Zbl 1379.62018
Nguyen, Hien D.; McLachlan, Geoffrey J.
2017
Mini-batch learning of exponential family finite mixture models. Zbl 1447.62073
Nguyen, Hien D.; Forbes, Florence; McLachlan, Geoffrey J.
2020
On formulations of skew factor models: skew factors and/or skew errors. Zbl 1456.62036
Lee, Sharon X.; McLachlan, Geoffrey J.
2021
A bivariate joint frailty model with mixture framework for survival analysis of recurrent events with dependent censoring and cure fraction. Zbl 1468.62411
Tawiah, Richard; Mclachlan, Geoffrey J.; Ng, Shu Kay
2020
Randomized mixture models for probability density approximation and estimation. Zbl 1450.62124
Nguyen, Hien D.; Wang, Dianhui; McLachlan, Geoffrey J.
2018
Expected error rates for logistic regression versus normal discriminant analysis. Zbl 0423.62045
McLachlan, G. J.; Byth, K.
1979
Some expected values for the error rates of the sample quadratic discriminant function. Zbl 0398.62049
McLachlan, G. J.
1975
Clustering via mixture regression models with random effects. Zbl 1148.62049
McLachlan, Geoffrey J.; Ng, Shu Kay (Angus); Wang, Kui
2008
On selection biases with prediction rules formed from gene expression data. Zbl 1138.62087
Zhu, J. X.; McLachlan, G. J.; Jones, L. Ben-Tovim; Wood, I. A.
2008
Speeding up the EM algorithm for mixture model-based segmentation of magnetic resonance images. Zbl 1070.68597
Ng, Shu-Kay; McLachlan, Geoffrey J.
2004
Modelling mass-size particle data by finite mixtures. Zbl 0696.62379
Jones, P. N.; McLachlan, G. J.
1989
Logistic regression compared to normal discrimination for non-normal populations. Zbl 0472.62069
Byth, K.; McLachlan, G. J.
1980
Likelihood-based approaches to pattern recognition. Zbl 0933.68121
McLachlan, G. J.
1996
Special issue on “New trends on model-based clustering and classification”. Preface by the guest editors. Zbl 1476.00069
2015
Maximum pseudolikelihood estimation for model-based clustering of time series data. Zbl 1418.62254
Nguyen, Hien D.; McLachlan, Geoffrey J.; Orban, Pierre; Bellec, Pierre; Janke, Andrew L.
2017
Mixture models for standard $$p$$-dimensional Euclidean data. Zbl 1396.62148
McLachlan, Geoffrey J.; Rathnayake, Suren I.
2016
Partial identification in the statistical matching problem. Zbl 1466.62015
Ahfock, Daniel; Pyne, Saumyadipta; Lee, Sharon X.; McLachlan, Geoffrey J.
2016
Maximum likelihood estimation of triangular and polygonal distributions. Zbl 1466.62167
Nguyen, Hien D.; McLachlan, Geoffrey J.
2016
Mixtures of factor analyzers with scale mixtures of fundamental skew normal distributions. Zbl 07363882
Lee, Sharon X.; Lin, Tsung-I.; McLachlan, Geoffrey J.
2021
On formulations of skew factor models: skew factors and/or skew errors. Zbl 1456.62036
Lee, Sharon X.; McLachlan, Geoffrey J.
2021
Mixtures of factor analyzers with scale mixtures of fundamental skew normal distributions. Zbl 07363882
Lee, Sharon X.; Lin, Tsung-I.; McLachlan, Geoffrey J.
2021
Approximation by finite mixtures of continuous density functions that vanish at infinity. Zbl 07273108
Nguyen, T. Tin; Nguyen, Hien D.; Chamroukhi, Faicel; McLachlan, Geoffrey J.
2020
Mini-batch learning of exponential family finite mixture models. Zbl 1447.62073
Nguyen, Hien D.; Forbes, Florence; McLachlan, Geoffrey J.
2020
A bivariate joint frailty model with mixture framework for survival analysis of recurrent events with dependent censoring and cure fraction. Zbl 1468.62411
Tawiah, Richard; Mclachlan, Geoffrey J.; Ng, Shu Kay
2020
Deep Gaussian mixture models. Zbl 1430.62143
Viroli, Cinzia; McLachlan, Geoffrey J.
2019
Robust mixtures of factor analysis models using the restricted multivariate skew-$$t$$ distribution. Zbl 07289498
Lin, Tsung-I; Wang, Wan-Lun; Mclachlan, Geoffrey J.; Lee, Sharon X.
2018
A globally convergent algorithm for Lasso-penalized mixture of linear regression models. Zbl 1469.62109
Lloyd-Jones, Luke R.; Nguyen, Hien D.; McLachlan, Geoffrey J.
2018
Randomized mixture models for probability density approximation and estimation. Zbl 1450.62124
Nguyen, Hien D.; Wang, Dianhui; McLachlan, Geoffrey J.
2018
A Bayesian information criterion for singular models. With discussion and authors’ reply. Zbl 1414.62088
Drton, Mathias; Plummer, Martyn
2017
Progress on a conjecture regarding the triangular distribution. Zbl 1379.62018
Nguyen, Hien D.; McLachlan, Geoffrey J.
2017
Maximum pseudolikelihood estimation for model-based clustering of time series data. Zbl 1418.62254
Nguyen, Hien D.; McLachlan, Geoffrey J.; Orban, Pierre; Bellec, Pierre; Janke, Andrew L.
2017
Finite mixtures of canonical fundamental skew $$t$$-distributions. The unification of the restricted and unrestricted skew $$t$$-mixture models. Zbl 1420.60020
Lee, Sharon X.; McLachlan, Geoffrey J.
2016
Extending mixtures of factor models using the restricted multivariate skew-normal distribution. Zbl 1328.62378
Lin, Tsung-I; McLachlan, Geoffrey J.; Lee, Sharon X.
2016
Laplace mixture of linear experts. Zbl 1468.62147
Nguyen, Hien D.; McLachlan, Geoffrey J.
2016
Mixtures of spatial spline regressions for clustering and classification. Zbl 1468.62148
Nguyen, Hien D.; McLachlan, Geoffrey J.; Wood, Ian A.
2016
Comment on “On nomenclature, and the relative merits of two formulations of skew distributions” by A. Azzalini, R. Browne, M. Genton, and P. McNicholas. Zbl 1376.60029
McLachlan, Geoffrey J.; Lee, Sharon X.
2016
A universal approximation theorem for mixture-of-experts models. Zbl 1474.68266
Nguyen, Hien D.; Lloyd-Jones, Luke R.; McLachlan, Geoffrey J.
2016
Mixture models for standard $$p$$-dimensional Euclidean data. Zbl 1396.62148
McLachlan, Geoffrey J.; Rathnayake, Suren I.
2016
Partial identification in the statistical matching problem. Zbl 1466.62015
Ahfock, Daniel; Pyne, Saumyadipta; Lee, Sharon X.; McLachlan, Geoffrey J.
2016
Maximum likelihood estimation of triangular and polygonal distributions. Zbl 1466.62167
Nguyen, Hien D.; McLachlan, Geoffrey J.
2016
A robust factor analysis model using the restricted skew-$$t$$ distribution. Zbl 1327.62344
Lin, Tsung-I; Wu, Pal H.; McLachlan, Geoffrey J.; Lee, Sharon X.
2015
Maximum likelihood estimation of Gaussian mixture models without matrix operations. Zbl 1416.65046
Nguyen, Hien D.; McLachlan, Geoffrey J.
2015
Special issue on “New trends on model-based clustering and classification”. Preface by the guest editors. Zbl 1476.00069
2015
Finite mixtures of multivariate skew $$t$$-distributions: some recent and new results. Zbl 1325.62107
Lee, Sharon; McLachlan, Geoffrey J.
2014
Mixture models for clustering multilevel growth trajectories. Zbl 1471.62149
Ng, S. K.; McLachlan, G. J.
2014
Editorial: The 2nd special issue on advances in mixture models. Zbl 1469.00037
2014
On mixtures of skew normal and skew $$t$$-distributions. Zbl 1273.62115
Lee, Sharon X.; McLachlan, Geoffrey J.
2013
Model-based clustering and classification with non-normal mixture distributions. Zbl 1332.62209
Lee, Sharon X.; McLachlan, Geoffrey J.
2013
Rejoinder to the discussion of “Model-based clustering and classification with non-normal mixture distributions”. Zbl 1332.62210
Lee, Sharon X.; McLachlan, Geoffrey J.
2013
The EM algorithm and extensions. 2nd ed. Zbl 1165.62019
McLachlan, Geoffrey J.; Krishnan, Thriyambakam
2008
Clustering via mixture regression models with random effects. Zbl 1148.62049
McLachlan, Geoffrey J.; Ng, Shu Kay (Angus); Wang, Kui
2008
On selection biases with prediction rules formed from gene expression data. Zbl 1138.62087
Zhu, J. X.; McLachlan, G. J.; Jones, L. Ben-Tovim; Wood, I. A.
2008
Two-component Poisson mixture regression modelling of count data with bivariate random effects. Zbl 05241250
Wang, Kui; Yau, Kelvin K. W.; Lee, Andy H.; McLachlan, Geoffrey J.
2007
Multi-level zero-inflated Poisson regression modelling of correlated count data with excess zeros. Zbl 1152.62083
Lee, Andy H.; Wang, Kui; Scott, Jane A.; Yau, Kelvin K. W.; McLachlan, Geoffrey J.
2006
Selection bias in working with the top genes in supervised classification of tissue samples. Zbl 1248.92023
Zhu, X.; Ambroise, C.; Mclachlan, G. J.
2006
Discriminant analysis and statistical pattern recognition. 2nd printing. Zbl 1108.62317
McLachlan, Geoffrey J.
2004
Analyzing microarray gene expression data. Zbl 1140.92010
McLachlan, Geoffrey J.; Do, Kim-Anh; Ambroise, Christophe
2004
On a resampling approach for tests on the number of clusters with mixture model-based clustering of tissue samples. Zbl 1052.65006
McLachlan, G. J.; Khan, N.
2004
Mixture modelling for cluster analysis. Zbl 1053.62076
McLachlan, G. J.; Chang, S. U.
2004
Speeding up the EM algorithm for mixture model-based segmentation of magnetic resonance images. Zbl 1070.68597
Ng, Shu-Kay; McLachlan, Geoffrey J.
2004
Modelling high-dimensional data by mixtures of factor analyzers. Zbl 1256.62036
McLachlan, G. J.; Peel, D.; Bean, R. W.
2003
Selection bias in gene extraction on the basis of microarray gene-expression data. Zbl 1034.92013
Ambroise, Christophe; McLachlan, Geoffrey J.
2002
Finite mixture models. Zbl 0963.62061
McLachlan, Geoffrey; Peel, David
2000
On modifications to the long-term survival mixture model in the presence of competing risks. Zbl 0940.62094
Ng, S. K.; McLachlan, G. J.
1998
The EM algorithm and extensions. Zbl 0882.62012
McLachlan, Geoffrey J.; Krishnan, Thriyambakam
1997
High-breakdown linear discriminant analysis. Zbl 0889.62052
Hawkins, Douglas M.; McLachlan, Geoffrey J.
1997
Likelihood-based approaches to pattern recognition. Zbl 0933.68121
McLachlan, G. J.
1996
Asymptotic relative efficiency of the linear discriminant function under partial nonrandom classification of the training data. Zbl 0842.62051
McLachlan, G. J.; Scot, D.
1995
Parametric estimation in a genetic mixture model with application to nuclear family data. Zbl 0824.62099
Shoukri, M. M.; McLachlan, G. J.
1994
Maximum likelihood estimation from grouped and truncated data with finite normal mixture models. Zbl 0715.62056
Jones, P. N.; McLachlan, G. J.
1990
Modelling mass-size particle data by finite mixtures. Zbl 0696.62379
Jones, P. N.; McLachlan, G. J.
1989
Mixture models: inference and applications to clustering. Zbl 0697.62050
McLachlan, Geoffrey J.; Basford, Kaye E.
1988
Fitting mixture models to grouped and truncated data via the EM algorithm. Zbl 0707.62214
McLachlan, G. J.; Jones, P. N.
1988
A note on the Aitkin-Rubin approach to hypothesis testing in mixture models. Zbl 0636.62043
Quinn, B. G.; McLachlan, G. J.; Hjort, N. L.
1987
Error rate estimation in discriminant analysis: recent advances. Zbl 0644.62066
McLachlan, G. J.
1987
Assessing the performance of an allocation rule. Zbl 0607.62067
McLachlan, G. J.
1986
Asymptotic error rates of the W and Z statistics when the training observations are dependent. Zbl 0623.62052
Lawoko, C. R. O.; McLachlan, G. J.
1986
Some asymptotic results on the effect of autocorrelation on the error rates of the sample linear discriminant function. Zbl 0515.62059
Lawoko, C. R. O.; McLachlan, G. J.
1983
The classification and mixture maximum likelihood approaches to cluster analysis. Zbl 0513.62064
McLachlan, G. J.
1982
Updating a discriminant function on the basis of unclassified data. Zbl 0507.62063
McLachlan, G. J.; Ganesalingam, S.
1982
On the bias and variance of some proportion estimators. Zbl 0508.62045
McLachlan, G. J.
1982
Some efficiency results for the estimation of the mixing proportion in a mixture of two normal distributions. Zbl 0498.62049
Ganesalingam, S.; McLachlan, G. J.
1981
A note on bias correction in maximum likelihood estimation with logistic discrimination. Zbl 0453.62046
McLachlan, G. J.
1980
On the relationship between the F test and the overall error rate for variable selection in two-group discriminant analysis. Zbl 0442.62046
McLachlan, G. J.
1980
Error rate estimation on the basis of posterior probabilities. Zbl 0461.62052
Ganesalingam, S.; McLachlan, G. J.
1980
A comparison of the mixture and classification approaches to cluster analysis. Zbl 0465.62053
Ganesalingam, S.; McLachlan, G. J.
1980
The efficiency of Efron’s ”Bootstrap” approach applied to error rate estimation in discriminant analysis. Zbl 0442.62047
McLachlan, G. J.
1980
Logistic regression compared to normal discrimination for non-normal populations. Zbl 0472.62069
Byth, K.; McLachlan, G. J.
1980
A case study of two clustering methods based on maximum likelihood. Zbl 0404.62035
Ganesalingam, S.; McLachlan, G. J.
1979
A comparison of the estimative and predictive methods of estimating posterior probabilities. Zbl 0412.62039
McLachlan, G. J.
1979
Expected error rates for logistic regression versus normal discriminant analysis. Zbl 0423.62045
McLachlan, G. J.; Byth, K.
1979
The efficiency of a linear discriminant function based on unclassified initial samples. Zbl 0389.62045
Ganesalingam, S.; McLachlan, G. J.
1978
The biases associated with maximum likelihood methods of estimation of the multivariate logistic risk function. Zbl 0392.62037
Byth, K.; McLachlan, G. J.
1978
Estimating the linear discriminant function from initial samples containing a small number of unclassified observations. Zbl 0369.62060
McLachlan, Geoffrey John
1977
A note on the choice of a weighting function to give an efficient method for estimating the probability of misclassification. Zbl 0356.62052
McLachlan, G. J.
1977
Constrained sample discrimination with the Studentized classification statistic W. Zbl 0365.62052
McLachlan, G. J.
1977
The bias of the apparent error rate in discriminant analysis. Zbl 0331.62042
McLachlan, G. J.
1976
A criterion for selecting variables for the linear discriminant function. Zbl 0334.62023
McLachlan, G. J.
1976
Further results on the effect of intraclass correlation among training samples in discriminant analysis. Zbl 0351.62041
McLachlan, G. J.
1976
Iterative reclassification procedure for constructing an asymptotically optimal rule of allocation in discriminant analysis. Zbl 0319.62038
McLachlan, G. J.
1975
Confidence intervals for the conditional probability of misallocation in discriminant analysis. Zbl 0312.62046
McLachlan, G. J.
1975
Some expected values for the error rates of the sample quadratic discriminant function. Zbl 0398.62049
McLachlan, G. J.
1975
An asymptotic unbiased technique for estimating the error rates in discriminant analysis. Zbl 0288.62027
McLachlan, G. J.
1974
The asymptotic distributions of the conditional error rate and risk in discriminant analysis. Zbl 0276.62061
McLachlan, G. J.
1974
Estimation of the errors of misclassification on the criterion of asymptotic mean square error. Zbl 0283.62051
McLachlan, G. J.
1974
The relationship in terms of asymptotic mean square error between the separate problems of estimating each of the three types of error rate of the linear discriminant function. Zbl 0294.62070
McLachlan, G. J.
1974
An asymptotic expansion of the expectation of the estimated error rate in discriminant analysis. Zbl 0286.62041
McLachlan, G. J.
1973
An asymptotic expansion for the variance of the errors of misclassification o f the linear discriminant function. Zbl 0241.62040
McLachlan, G. J.
1972
Asymptotic results for discriminant analysis when the initial samples are misclassified. Zbl 0244.62046
McLachlan, G. J.
1972
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### Cited by 3,287 Authors

 42 McNicholas, Paul D. 37 McLachlan, Geoffrey John 26 Lin, Tsung I. 23 Punzo, Antonio 22 Melnykov, Volodymyr 20 Balakrishnan, Narayanaswamy 20 Viroli, Cinzia 19 Mayo-Iscar, Agustin 18 García-Escudero, Luis Angel 18 Ingrassia, Salvatore 17 Yao, Weixin 16 Murphy, Thomas Brendan 16 Nguyen, Hien Duy 15 Biernacki, Christophe 15 Böhning, Dankmar 15 Browne, Ryan P. 15 Wang, Wan-Lun 14 Bartolucci, Francesco 14 Bouguila, Nizar 14 Lee, Sharon X. 13 Bouveyron, Charles 13 Celeux, Gilles 12 Karlis, Dimitris 12 Yang, Miin-Shen 12 Zhu, Xuwen 11 Galimberti, Giuliano 11 Gordaliza, Alfonso 11 Govaert, Gérard 11 Iannario, Maria 11 Lachos Dávila, Víctor Hugo 10 Al-Moisheer, A. S. 10 Greselin, Francesca 10 Rocci, Roberto 10 Soffritti, Gabriele 10 Vermunt, Jeroen K. 9 DeSarbo, Wayne S. 9 Maĭboroda, Rostyslav Yevgenovych 9 Pal, Suvra 8 Cabral, Celso Rômulo Barbosa 8 Hennig, Christian 8 Kim, Hea-Jung 8 Lee, Andy H. 8 Maleki, Mohsen 8 Montanari, Angela 8 Piccolo, Domenico 8 Scrucca, Luca 8 Sultan, Khalaf Salman 7 Chamroukhi, Faicel 7 Forbes, Florence 7 Gormley, Isobel Claire 7 Hand, David J. 7 Hunter, David R. 7 Jamalizadeh, Ahad 7 Latouche, Pierre 7 Lindsay, Bruce G. 7 Moghimbeigi, Abbas 7 Molenberghs, Geert 7 Nadif, Mohamed 7 Verbeke, Geert N. 7 Yau, Kelvin K. W. 6 Andrews, Jeffrey L. 6 Bacci, Silvia 6 Bordes, Laurent 6 Dean, Nema 6 Dučinskas, Kȩstutis 6 Ganjali, Mojtaba 6 Lange, Kenneth L. 6 Larrañaga, Pedro 6 Marbac, Matthieu 6 Michael, Semhar 6 Robin, Stéphane 6 Subedi, Sanjeena 5 Aknin, Patrice 5 Al-Hussaini, Essam Khalaf 5 Badescu, Andrei L. 5 Chen, Jiahua 5 Chen, Kun 5 De Boeck, Paul 5 Denœux, Thierry 5 Farcomeni, Alessio 5 Fernández, Daniel 5 Hall, Peter Gavin 5 Ho, Hsiu J. 5 Hung, Wenliang 5 Longford, Nicholas Tibor 5 Maitra, Ranjan 5 Maruotti, Antonello 5 Matrán, Carlos 5 Miljkovic, Tatjana 5 Nadarajah, Saralees 5 Pledger, Shirley 5 Quintana, Fernando Andrés 5 Samé, Allou 5 Takai, Keiji 5 Tortora, Cristina 5 Vandekerkhove, Pierre 5 Vandewalle, Vincent 5 Wraith, Darren 5 Wu, Lang 5 Wu, Liucang ...and 3,187 more Authors
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### Cited in 253 Serials

 262 Computational Statistics and Data Analysis 81 Advances in Data Analysis and Classification. ADAC 79 Statistics and Computing 73 Journal of Applied Statistics 63 Journal of Statistical Computation and Simulation 60 Computational Statistics 52 Communications in Statistics. Theory and Methods 51 Biometrics 51 Pattern Recognition 48 Journal of Classification 44 Journal of Multivariate Analysis 41 Psychometrika 41 Communications in Statistics. Simulation and Computation 40 Journal of Statistical Planning and Inference 40 The Annals of Applied Statistics 29 The Annals of Statistics 29 Electronic Journal of Statistics 28 Statistics & Probability Letters 23 Statistical Methods and Applications 21 Statistical Science 21 Statistical Papers 20 Annals of the Institute of Statistical Mathematics 20 Statistical Modelling 18 Scandinavian Journal of Statistics 17 The Canadian Journal of Statistics 16 Journal of the American Statistical Association 15 Journal of the Royal Statistical Society. Series B. Statistical Methodology 13 Journal of Econometrics 13 European Journal of Operational Research 13 Bernoulli 11 International Journal of Approximate Reasoning 11 Neural Networks 11 Machine Learning 11 Neural Computation 11 Test 11 Journal of the Korean Statistical Society 11 Journal of Agricultural, Biological, and Environmental Statistics 10 Metrika 10 Automatica 10 Statistical Methodology 10 AStA. Advances in Statistical Analysis 9 Information Sciences 9 Journal of Computational and Applied Mathematics 9 Journal of the Royal Statistical Society. Series C. Applied Statistics 9 Statistical Analysis and Data Mining 8 Biometrical Journal 8 Journal of Mathematical Psychology 8 Metron 8 Mathematical and Computer Modelling 8 Journal of Mathematical Imaging and Vision 8 Mathematical Problems in Engineering 8 Methodology and Computing in Applied Probability 8 Brazilian Journal of Probability and Statistics 7 Journal of Computational Physics 7 Mathematical Biosciences 7 Theory of Probability and Mathematical Statistics 7 Journal of Nonparametric Statistics 7 PAA. Pattern Analysis and Applications 7 Data Mining and Knowledge Discovery 7 ASTIN Bulletin 7 Statistical Applications in Genetics and Molecular Biology 6 Applied Mathematics and Computation 6 Fuzzy Sets and Systems 6 Kybernetika 6 Insurance Mathematics & Economics 6 Statistics 6 Signal Processing 6 Australian & New Zealand Journal of Statistics 6 Journal of Computational and Graphical Statistics 6 Sankhyā. Series B 6 Journal of Theoretical Biology 6 Bayesian Analysis 5 Journal of Time Series Analysis 5 American Journal of Mathematical and Management Sciences 5 Annals of Operations Research 5 Applied Mathematics. Series B (English Edition) 5 Lifetime Data Analysis 5 North American Actuarial Journal 5 Journal of Statistical Theory and Practice 5 Journal of Statistical Distributions and Applications 5 Modern Stochastics. Theory and Applications 4 Journal of Global Optimization 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 The Econometrics Journal 4 Applied Stochastic Models in Business and Industry 4 Journal of Machine Learning Research (JMLR) 4 Computational & Mathematical Methods in Medicine 3 Lithuanian Mathematical Journal 3 British Journal of Mathematical & Statistical Psychology 3 International Statistical Review 3 Statistica Neerlandica 3 Circuits, Systems, and Signal Processing 3 Stochastic Analysis and Applications 3 Numerical Algorithms 3 Games and Economic Behavior 3 Applied Mathematical Modelling 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Mathematical Methods of Statistics 3 International Journal of Computer Vision 3 Mathematical Population Studies ...and 153 more Serials
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### Cited in 37 Fields

 1,780 Statistics (62-XX) 364 Numerical analysis (65-XX) 209 Computer science (68-XX) 124 Biology and other natural sciences (92-XX) 113 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Probability theory and stochastic processes (60-XX) 68 Operations research, mathematical programming (90-XX) 36 Information and communication theory, circuits (94-XX) 25 Systems theory; control (93-XX) 17 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Geophysics (86-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX)