# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 53 Publications since 1981, including 6 Books Biographic References: 1 Publication
all top 5

#### Co-Authors

 14 single-authored 6 Arellano-Valle, Reinaldo Boris 5 Bowman, Adrian W. 4 Genton, Marc G. 3 Regoli, Giuliana 3 Scarpa, Bruno 2 Capitanio, Antonella 2 Chiogna, Monica 2 Menardi, Giovanna 1 Bacchieri, Antonella 1 Browne, Ryan P. 1 Cox, David Roxbee 1 Diana, Giovanni 1 Ferreira, Clécio S. 1 Giovagnoli, Alessandra 1 Gonçalves, M. Helena 1 Hall, Peter Gavin 1 Härdle, Wolfgang Karl 1 Jupp, Peter E. 1 Kim, Hea-Jung 1 Kim, Hyoung-Moon 1 McNicholas, Paul D. 1 Minozzo, Marco 1 Salehi, Mahdi 1 Santoro, Karol
all top 5

#### Serials

 7 Metron 4 Journal of Multivariate Analysis 3 Scandinavian Journal of Statistics 3 Biometrika 2 Annals of the Institute of Statistical Mathematics 2 Journal of the Royal Statistical Society. Series C. Applied Statistics 2 Journal of Time Series Analysis 2 Computational Statistics 2 Journal of the Royal Statistical Society. Series B 2 Computational Statistics and Data Analysis 2 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 International Statistical Review 1 Journal of Statistical Planning and Inference 1 Statistica 1 Statistics & Probability Letters 1 Bernoulli 1 Statistical Methods and Applications 1 Journal of the Korean Statistical Society 1 Monographs on Statistics and Applied Probability 1 Oxford Statistical Science Series 1 Institute of Mathematical Statistics Monographs 1 Chilean Journal of Statistics 1 Statistics and Computing
all top 5

#### Fields

 48 Statistics (62-XX) 13 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

40 Publications have been cited 2,892 times in 1,489 Documents Cited by Year
A class of distributions which includes the normal ones. Zbl 0581.62014
Azzalini, A.
1985
The multivariate skew-normal distribution. Zbl 0885.62062
Azzalini, A.; Dalla Valle, A.
1996
Statistical applications of the multivariate skew normal distribution. Zbl 0924.62050
Azzalini, A.; Capitanio, A.
1999
Distributions generated by perturbation of symmetry with emphasis on a multivariate skew $$t$$-distribution. Zbl 1065.62094
2003
The skew-normal distribution and related multivariate families. Zbl 1091.62046
2005
Applied smoothing techniques for data analysis: the kernel approach with S-Plus illustrations. Zbl 0889.62027
1997
On the unification of families of skew-normal distributions. Zbl 1117.62051
2006
Further results on a class of distributions which includes the normal ones. Zbl 0606.62013
1986
Robust likelihood methods based on the skew-$$t$$ and related distributions. Zbl 1206.62102
2008
A look at some data on the Old Faithful Geyser. Zbl 0707.62186
Azzalini, A.; Bowman, A. W.
1990
On the use of nonparametric regression for checking linear relationships. Zbl 0800.62222
1993
On the use of nonparametric regression for model checking. Zbl 0663.62096
Azzalini, A.; Bowman, A. W.; Härdle, W.
1989
The skew-normal and related families. With the collaboration of Antonella Capitanio. Zbl 1338.62007
2014
Statistical inference. Based on likelihood. (Inferenza statistica. Una presentazione basata sul concetto di verosimiglianza). 2a ed. Zbl 0964.62001
Azzalini, A.
2001
The centred parametrization for the multivariate skew-normal distribution. Zbl 1140.62040
2008
Graphical models for skew-normal variates. Zbl 1035.60008
Capitano, A.; Azzalini, A.; Stanghellini, E.
2003
Logistic regression for autocorrelated data with application to repeated measures. Zbl 0825.62852
Azzalini, A.
1994
Statistical inference. Based on the likelihood. Zbl 0871.62001
1996
An advancement in clustering via nonparametric density estimation. Zbl 1322.62175
2014
Maximum penalized likelihood estimation for skew-normal and skew-$$t$$ distributions. Zbl 1254.62020
2013
Some properties of skew-symmetric distributions. Zbl 1253.62038
2012
On Gauss’s characterization of the normal distribution. Zbl 1111.62012
2007
Some optimal designs for repeated measurements with autoregressive errors. Zbl 0632.62070
1987
Computational aspects of nonparametric smoothing with illustrations from the sm library. Zbl 1430.62069
Bowman, A. W.; Azzalini, A.
2003
On nomenclature for, and the relative merits of, two formulations of skew distributions. Zbl 1376.60024
Azzalini, Adelchi; Browne, Ryan P.; Genton, Marc G.; McNicholas, Paul D.
2016
The centred parameterization and related quantities of the skew-$$t$$ distribution. Zbl 1253.60012
2013
Invariance-based estimating equations for skew-symmetric distributions. Zbl 1301.62032
Azzalini, Adelchi; Genton, Marc G.; Scarpa, Bruno
2010
Growth curves analysis for patterned covariance matrices. Zbl 0616.62099
1987
Selection models under generalized symmetry settings. Zbl 1253.62037
2012
Some results on the stress-strength model for skew-normal variates. Zbl 1416.62563
2004
Approximate filtering of parameter driven processes. Zbl 0505.60046
Azzalini, A.
1982
A prospective combination of phase II and phase III in drug development. Zbl 1301.62107
2010
A note on regions of given probability of the skew-normal distribution. Zbl 1004.62501
2001
Reducing variability using bootstrap methods with qualitative constraints. Zbl 0980.62032
2000
Logistic regression and other discrete data models for serially correlated observations. Zbl 1446.62233
Azzalini, A.
1994
On the unimodality of the exact likelihood function for normal AR(2) series. Zbl 0779.62078
Minozzo, M.; Azzalini, A.
1993
Two new tests associated with analysis of variance. Zbl 0553.62064
Azzalini, A.; Cox, D. R.
1984
A two-piece normal measurement error model. Zbl 07160683
Arellano-Valle, Reinaldo B.; Azzalini, Adelchi; Ferreira, Clécio S.; Santoro, Karol
2020
A general setting for symmetric distributions and their relationship to general distributions. Zbl 1338.62047
Jupp, P. E.; Regoli, G.; Azzalini, A.
2016
Data analysis and data mining. An introduction. Translated from the Italian by the authors and Anne Goghlan. Text revised by Gabriel Walton. Updated English ed. of the 2004 Italian original. Zbl 1269.62013
2012
A two-piece normal measurement error model. Zbl 07160683
Arellano-Valle, Reinaldo B.; Azzalini, Adelchi; Ferreira, Clécio S.; Santoro, Karol
2020
On nomenclature for, and the relative merits of, two formulations of skew distributions. Zbl 1376.60024
Azzalini, Adelchi; Browne, Ryan P.; Genton, Marc G.; McNicholas, Paul D.
2016
A general setting for symmetric distributions and their relationship to general distributions. Zbl 1338.62047
Jupp, P. E.; Regoli, G.; Azzalini, A.
2016
The skew-normal and related families. With the collaboration of Antonella Capitanio. Zbl 1338.62007
2014
An advancement in clustering via nonparametric density estimation. Zbl 1322.62175
2014
Maximum penalized likelihood estimation for skew-normal and skew-$$t$$ distributions. Zbl 1254.62020
2013
The centred parameterization and related quantities of the skew-$$t$$ distribution. Zbl 1253.60012
2013
Some properties of skew-symmetric distributions. Zbl 1253.62038
2012
Selection models under generalized symmetry settings. Zbl 1253.62037
2012
Data analysis and data mining. An introduction. Translated from the Italian by the authors and Anne Goghlan. Text revised by Gabriel Walton. Updated English ed. of the 2004 Italian original. Zbl 1269.62013
2012
Invariance-based estimating equations for skew-symmetric distributions. Zbl 1301.62032
Azzalini, Adelchi; Genton, Marc G.; Scarpa, Bruno
2010
A prospective combination of phase II and phase III in drug development. Zbl 1301.62107
2010
Robust likelihood methods based on the skew-$$t$$ and related distributions. Zbl 1206.62102
2008
The centred parametrization for the multivariate skew-normal distribution. Zbl 1140.62040
2008
On Gauss’s characterization of the normal distribution. Zbl 1111.62012
2007
On the unification of families of skew-normal distributions. Zbl 1117.62051
2006
The skew-normal distribution and related multivariate families. Zbl 1091.62046
2005
Some results on the stress-strength model for skew-normal variates. Zbl 1416.62563
2004
Distributions generated by perturbation of symmetry with emphasis on a multivariate skew $$t$$-distribution. Zbl 1065.62094
2003
Graphical models for skew-normal variates. Zbl 1035.60008
Capitano, A.; Azzalini, A.; Stanghellini, E.
2003
Computational aspects of nonparametric smoothing with illustrations from the sm library. Zbl 1430.62069
Bowman, A. W.; Azzalini, A.
2003
Statistical inference. Based on likelihood. (Inferenza statistica. Una presentazione basata sul concetto di verosimiglianza). 2a ed. Zbl 0964.62001
Azzalini, A.
2001
A note on regions of given probability of the skew-normal distribution. Zbl 1004.62501
2001
Reducing variability using bootstrap methods with qualitative constraints. Zbl 0980.62032
2000
Statistical applications of the multivariate skew normal distribution. Zbl 0924.62050
Azzalini, A.; Capitanio, A.
1999
Applied smoothing techniques for data analysis: the kernel approach with S-Plus illustrations. Zbl 0889.62027
1997
The multivariate skew-normal distribution. Zbl 0885.62062
Azzalini, A.; Dalla Valle, A.
1996
Statistical inference. Based on the likelihood. Zbl 0871.62001
1996
Logistic regression for autocorrelated data with application to repeated measures. Zbl 0825.62852
Azzalini, A.
1994
Logistic regression and other discrete data models for serially correlated observations. Zbl 1446.62233
Azzalini, A.
1994
On the use of nonparametric regression for checking linear relationships. Zbl 0800.62222
1993
On the unimodality of the exact likelihood function for normal AR(2) series. Zbl 0779.62078
Minozzo, M.; Azzalini, A.
1993
A look at some data on the Old Faithful Geyser. Zbl 0707.62186
Azzalini, A.; Bowman, A. W.
1990
On the use of nonparametric regression for model checking. Zbl 0663.62096
Azzalini, A.; Bowman, A. W.; Härdle, W.
1989
Some optimal designs for repeated measurements with autoregressive errors. Zbl 0632.62070
1987
Growth curves analysis for patterned covariance matrices. Zbl 0616.62099
1987
Further results on a class of distributions which includes the normal ones. Zbl 0606.62013
1986
A class of distributions which includes the normal ones. Zbl 0581.62014
Azzalini, A.
1985
Two new tests associated with analysis of variance. Zbl 0553.62064
Azzalini, A.; Cox, D. R.
1984
Approximate filtering of parameter driven processes. Zbl 0505.60046
Azzalini, A.
1982
all top 5

#### Cited by 2,145 Authors

 44 Lachos Dávila, Víctor Hugo 42 Jamalizadeh, Ahad 40 Arellano-Valle, Reinaldo Boris 36 Balakrishnan, Narayanaswamy 32 Bolfarine, Heleno 31 Genton, Marc G. 30 Nadarajah, Saralees 28 Gupta, Arjun Kumar 24 Kim, Hea-Jung 24 Lin, Tsung I. 20 Gómez, Héctor W. 20 Loperfido, Nicola M. R. 16 Azzalini, Adelchi 15 Pewsey, Arthur 12 Arslan, Olcay 12 Jones, Michael Chris 12 Kim, Hyoung-Moon 12 Wang, Tonghui 12 Wang, Wan-Lun 11 Cabral, Celso Rômulo Barbosa 11 Dey, Dipak Kumar 11 Hallin, Marc 11 Rubio, Francisco Javier 10 Arnold, Barry Charles 10 Lee, Sharon X. 10 McLachlan, Geoffrey John 10 Soize, Christian 9 Castro, Luis Mauricio 9 Ley, Christophe 9 Loschi, Rosangela Helena 9 Ning, Wei 9 Scarpa, Bruno 8 Bowman, Adrian W. 8 Dette, Holger 8 Ferreira, Clécio S. 8 Huang, Yangxin 8 Maleki, Mohsen 8 Nikitin, Yakov Yu. 8 Paindaveine, Davy 7 Branco, Márcia D’Elia 7 Ganjali, Mojtaba 7 Liseo, Brunero 7 Martínez-Flórez, Guillermo 7 Ortega, Edwin Moises Marcos 7 Quintana, Fernando Andrés 7 Steel, Mark F. J. 7 Zeller, Camila Borelli 6 Abe, Toshihiro 6 Baghfalaki, Taban 6 Behboodian, Javad 6 Contreras-Reyes, Javier E. 6 Cordeiro, Gauss Moutinho 6 Dagne, Getachew Asfaw 6 Fang, Biqi 6 González-Farías, Graciela M. 6 Huang, Li-Shan 6 Jiménez-Gamero, María Dolores 6 Labra, Filidor Vilca 6 Maadooliat, Mehdi 6 McNicholas, Paul D. 6 Meintanis, Simos G. 6 Tian, Weizhong 6 Withers, Christopher Stroude 5 Adcock, C. J. 5 Amiri, Mehdi 5 Beaver, Robert J. 5 Canale, Antonio 5 Cancho, Vicente Garibay 5 González-Manteiga, Wenceslao 5 Hamedani, Gholamhossein G. 5 Harrar, Solomon W. 5 Kazemi, Iraj 5 Khaledi, Majid Jafari 5 Leiva, Víctor 5 Mallick, Bani K. 5 Montenegro, Lourdes Coral C. 5 Naveau, Philippe 5 Padoan, Simone A. 5 Peng, Zuoxiang 5 Richter, Wolf-Dieter 5 Salinas, Hugo S. 5 Seneta, Eugene 5 Towhidi, Mina 5 Wraith, Darren 5 Wu, Liucang 5 Zhang, Xibin 5 Zhu, Lixing 4 Anusree, M. R. 4 Aoki, Reiko 4 Azevedo, Caio Lucidius Naberezny 4 Browne, Ryan P. 4 Chen, John Tuhao 4 Crujeiras, Rosa María 4 Delicado, Pedro F. 4 Doksum, Kjell A. 4 Famoye, Felix 4 Fan, Jianqing 4 Fung, Thomas 4 Genç, Ali İ. 4 Gupta, Ramesh Chandra ...and 2,045 more Authors
all top 5

#### Cited in 194 Serials

 117 Computational Statistics and Data Analysis 97 Communications in Statistics. Theory and Methods 88 Statistics & Probability Letters 78 Journal of Multivariate Analysis 69 Journal of Statistical Computation and Simulation 65 Journal of Statistical Planning and Inference 52 Journal of Applied Statistics 38 Statistics 36 Computational Statistics 35 Test 32 Statistical Papers 30 Statistics and Computing 25 Journal of Econometrics 24 Biometrics 24 Statistical Methods and Applications 23 Communications in Statistics. Simulation and Computation 22 Brazilian Journal of Probability and Statistics 20 The Annals of Statistics 19 Metron 19 Journal of the Korean Statistical Society 19 Journal of Statistical Theory and Practice 18 Scandinavian Journal of Statistics 16 Journal of the American Statistical Association 16 Statistical Modelling 15 Annals of the Institute of Statistical Mathematics 15 Statistical Methodology 14 The Canadian Journal of Statistics 12 European Journal of Operational Research 12 The Annals of Applied Statistics 11 Metrika 11 Electronic Journal of Statistics 11 Journal of Statistical Distributions and Applications 10 Advances in Data Analysis and Classification. ADAC 9 Psychometrika 9 Insurance Mathematics & Economics 9 Methodology and Computing in Applied Probability 9 Chilean Journal of Statistics 8 Computer Methods in Applied Mechanics and Engineering 8 Biometrical Journal 8 Journal of Computational and Applied Mathematics 8 Economics Letters 8 Bernoulli 8 Journal of Nonparametric Statistics 8 Quantitative Finance 6 Journal of Computational Physics 6 Sankhyā. Series A 6 Bayesian Analysis 5 Journal of Applied Probability 5 Random Operators and Stochastic Equations 5 Lifetime Data Analysis 5 Journal of the Royal Statistical Society. Series B. Statistical Methodology 5 Journal of Probability and Statistics 5 Sankhyā. Series B 5 Japanese Journal of Statistics and Data Science 4 Journal of Classification 4 International Journal of Approximate Reasoning 4 Applied Mathematical Modelling 4 Pattern Recognition 4 Applied Mathematics. Series B (English Edition) 4 The Econometrics Journal 4 Applied Stochastic Models in Business and Industry 4 AStA. Advances in Statistical Analysis 4 Mathematical Geosciences 4 Journal of Agricultural, Biological, and Environmental Statistics 3 International Statistical Review 3 Mathematics and Computers in Simulation 3 Journal of Time Series Analysis 3 Acta Applicandae Mathematicae 3 Neural Computation 3 Journal of Mathematical Sciences (New York) 3 Australian & New Zealand Journal of Statistics 3 Biostatistics 3 Scandinavian Actuarial Journal 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Statistical Methods in Medical Research 3 Statistical Analysis and Data Mining 3 Statistics Surveys 3 Dependence Modeling 2 Journal of Mathematical Analysis and Applications 2 Mathematical Biosciences 2 Physica A 2 Journal of Mathematical Psychology 2 American Journal of Mathematical and Management Sciences 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Sequential Analysis 2 Journal of Economic Dynamics & Control 2 Machine Learning 2 Linear Algebra and its Applications 2 Computational Economics 2 Mathematical Problems in Engineering 2 Mathematical Population Studies 2 Soft Computing 2 Journal of the Royal Statistical Society. Series C. Applied Statistics 2 Extremes 2 Stochastic Environmental Research and Risk Assessment 2 Econometric Theory 2 Journal of Systems Science and Complexity 2 Mathematical Geology 2 Stochastic Models ...and 94 more Serials
all top 5

#### Cited in 40 Fields

 1,371 Statistics (62-XX) 282 Probability theory and stochastic processes (60-XX) 219 Numerical analysis (65-XX) 107 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Biology and other natural sciences (92-XX) 20 Computer science (68-XX) 16 Geophysics (86-XX) 12 Operations research, mathematical programming (90-XX) 12 Information and communication theory, circuits (94-XX) 11 Mechanics of deformable solids (74-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Fluid mechanics (76-XX) 6 Combinatorics (05-XX) 5 Special functions (33-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Systems theory; control (93-XX) 3 Partial differential equations (35-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)