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## Marchand, Eric

Compute Distance To:
 Author ID: marchand.eric Published as: Marchand, E.; Marchand, Eric; Marchand, É.; Marchand, Éric External Links: MGP · ORCID
 Documents Indexed: 65 Publications since 1993, including 1 Book
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#### Co-Authors

 6 single-authored 22 Strawderman, William Edward 9 Perron, François 8 Jafari Jozani, Mohammad 5 Fourdrinier, Dominique 5 Kubokawa, Tatsuya 5 Parsian, Ahmad 3 Aoudia, Djilali Ait 3 Kortbi, Othmane 3 Lmoudden, Aziz 3 Payandeh Najafabadi, Amir T. 2 Ahmadi, Jafar 2 Kucerovsky, Dan Z. 1 Bahamyirou, Asma 1 Ben Hadj Slimene, Latifa 1 Bosa, Keven 1 Dame, Amaury 1 Drevelle, Vincent 1 Ghashim, Ehssan 1 Gueye, Rokhaya 1 Joffe, Anatole 1 Jones, Michael Chris 1 Kenmogne, Ide-Flore 1 Lamontagne, Érick 1 Leblanc, Alexandre 1 MacGibbon, Brenda 1 Popadiuk, Paul 1 Rancourt, Fanny 1 Righi, Ali 1 Rukhin, Andrew L. 1 Sadeghkhani, Abdolnasser 1 Small, Robert D. 1 Tripathi, Yogesh Mani 1 Turcotte, Jean-Philippe 1 Yadegari, Iraj
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#### Serials

 8 Statistics & Probability Letters 7 Journal of Multivariate Analysis 6 Journal of Statistical Planning and Inference 6 Electronic Journal of Statistics 3 Annals of the Institute of Statistical Mathematics 3 Statistics & Decisions 3 Journal of Statistical Computation and Simulation 2 The Canadian Journal of Statistics 2 Metrika 2 Mathematical Methods of Statistics 2 Bernoulli 1 International Journal of Mathematical Education in Science and Technology 1 Acta Cybernetica 1 The Annals of Statistics 1 Journal of Applied Probability 1 Journal of Theoretical Probability 1 Statistical Papers 1 Electronic Communications in Probability 1 IEEE Transactions on Image Processing 1 International Journal of Pure and Applied Mathematics 1 REVSTAT 1 Statistical Methodology 1 Sankhyā 1 Sankhyā. Series A
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#### Fields

 54 Statistics (62-XX) 9 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

53 Publications have been cited 324 times in 177 Documents Cited by Year
On estimation with weighted balanced-type loss function. Zbl 1090.62007
2006
Estimation in restricted parameter spaces: a review. Zbl 1268.62030
Marchand, Eric; Strawderman, William E.
2004
Bayes estimation based on $$k$$-record data from a general class of distributions under balanced type loss functions. Zbl 1156.62015
2009
Bayesian and robust Bayesian analysis under a general class of balanced loss functions. Zbl 1241.62004
2012
Prediction of $$k$$-records from a general class of distributions under balanced type loss functions. Zbl 1433.62024
2009
Improving on the MLE of a bounded normal mean. Zbl 1041.62016
Marchand, Éric; Perron, François
2001
Improving on the minimum risk equivariant estimator of a location parameter which is constrained to an interval or a half-interval. Zbl 1082.62029
Marchand, Éric; Strawderman, William E.
2005
On improving on the minimum risk equivariant estimator of a scale parameter under a lower-bound constraint. Zbl 1067.62025
Marchand, Éric; Strawderman, William E.
2005
A unified minimax result for restricted parameter spaces. Zbl 1251.49024
Marchand, Éric; Strawderman, William E.
2012
On sums of products of Bernoulli variables and random permutations. Zbl 1054.60013
Joffe, Anatole; Marchand, Éric; Perron, François; Popadiuk, Paul
2004
On improved predictive density estimation with parametric constraints. Zbl 1274.62079
Fourdrinier, Dominique; Marchand, Éric; Righi, Ali; Strawderman, William E.
2011
Density of the ratio of two normal random variables and applications. Zbl 1105.62018
Pham-Gia, T.; Turkkan, N.; Marchand, E.
2006
Estimation of a multivariate mean with constraints on the norm. Zbl 0787.62060
Marchand, Eric
1993
On the minimax estimator of a bounded normal mean. Zbl 1056.62036
Marchand, Éric; Perron, François
2002
Minimaxity in predictive density estimation with parametric constraints. Zbl 1277.62044
Kubokawa, Tatsuya; Marchand, Éric; Strawderman, William E.; Turcotte, Jean-Philippe
2013
Minimax estimation of a constrained binomial proportion. Zbl 0953.62010
Marchand, Éric; MacGibbon, Brenda
2000
On moments of beta mixtures, the noncentral beta distribution, and the coefficient of determination. Zbl 0886.62018
Marchand, Éric
1997
On Bayesian credible sets, restricted parameter spaces and frequentist coverage. Zbl 1336.62097
Marchand, Éric; Strawderman, William E.
2013
On the frequentist coverage of Bayesian credible intervals for lower bounded means. Zbl 1320.62040
Marchand, Éric; Strawderman, William E.; Bosa, Keven; Lmoudden, Aziz
2008
On predictive density estimation for location families under integrated absolute error loss. Zbl 1382.62011
Kubokawa, Tatsuya; Marchand, Éric; Strawderman, William E.
2017
On predictive density estimation for location families under integrated squared error loss. Zbl 1327.62054
Kubokawa, Tatsuya; Marchand, Éric; Strawderman, William E.
2015
On improved shrinkage estimators for concave loss. Zbl 1308.62014
Kubokawa, Tatsuya; Marchand, Éric; Strawderman, William E.
2015
On continuous distribution functions, minimax and best invariant estimators, and integrated balanced loss functions. Zbl 1297.62021
Jozani, Mohammad Jafari; Leblanc, Alexandre; Marchand, Éric
2014
Fully coupled generalized hybrid-mixed finite element approximation of two-phase two-component flow in porous media. I: Formulation and properties of the mathematical model. Zbl 1382.76173
Marchand, E.; Müller, T.; Knabner, P.
2013
On Bayes estimators with uniform priors on spheres and their comparative performance with maximum likelihood estimators for estimating bounded multivariate normal means. Zbl 1352.62047
Fourdrinier, Dominique; Marchand, Éric
2010
On the behavior of Bayesian credible intervals for some restricted parameter space problems. Zbl 1268.62033
Marchand, Éric; Strawderman, William E.
2006
Improving on the mle of a bounded location parameter for spherical distributions. Zbl 1062.62101
Marchand, Éric; Perron, François
2005
Point estimation of the coefficient of determination. Zbl 0969.62004
Marchand, Éric
2001
On shrinkage estimation for balanced loss functions. Zbl 1454.62088
Marchand, Éric; Strawderman, William E.
2020
Multivariate discrete distributions via sums and shares. Zbl 1417.62129
Jones, M. C.; Marchand, Éric
2019
On estimating a bounded normal mean with applications to predictive density estimation. Zbl 1362.62018
Marchand, Éric; Perron, François; Yadegari, Iraj
2017
Inadmissible estimators of normal quantiles and two-sample problems with additional information. Zbl 1326.62055
Marchand, Éric; Jozani, Mohammad Jafari; Tripathi, Yogesh Mani
2012
Bayesian improvements of a MRE estimator of a bounded location parameter. Zbl 1271.62046
Marchand, Éric; Najafabadi, Amir T. Payandeh
2011
Minimax estimation of constrained parametric functions for discrete families of distributions. Zbl 1433.62071
2007
Minimax estimation of a bounded parameter of a discrete distribution. Zbl 1086.62029
2006
On the equality in distribution of the random variables $$X$$ and $$g(X)$$. Zbl 1085.60009
Kucerovsky, Dan; Marchand, Eric; Small, Robert D.
2005
James-Stein estimation with constraints on the norm. Zbl 0797.62043
Marchand, E.; Giri, N. C.
1993
A unified approach to estimation of noncentrality parameters, the multiple correlation coefficient, and mixture models. Zbl 1380.62031
Kubokawa, T.; Marchand, Éric; Strawderman, W. E.
2017
On predictive density estimation for gamma models with parametric constraints. Zbl 1356.62044
L’Moudden, Aziz; Marchand, Éric; Kortbi, Othmane; Strawderman, William E.
2017
Second-order optimization of mutual information for real-time image registration. Zbl 1373.94095
Dame, Amaury; Marchand, Eric
2012
Truncated linear estimation of a bounded multivariate normal mean. Zbl 1270.62092
Kortbi, Othmane; Marchand, Éric
2012
On the number of runs for Bernoulli arrays. Zbl 1196.60016
Aoudia, Djilali Ait; Marchand, Éric
2010
On the Bayesianity of maximum likelihood estimators of restricted location parameters under absolute value error loss. Zbl 1274.62169
Kucerovsky, Dan; Marchand, Eric; Najafabadi, Amir T. Payandeh; Strawderman, William E.
2009
Minimax estimation of a constrained binomial proportion $$p$$ when $$|p-1/2|$$ is small. Zbl 1192.62063
Marchand, Eric; Perron, Franc Cois; Gueye, Rokhaya
2005
On the estimation of the mean of a $$N_ p(\mu ,\Sigma)$$ population with $$\mu'\Sigma^{-1}\mu$$ known. Zbl 0805.62058
Marchand, Eric
1994
On predictive density estimation with additional information. Zbl 1409.62116
2018
Counts of Bernoulli success strings in a multivariate framework. Zbl 1375.60030
Aoudia, Djilali Ait; Marchand, Éric; Perron, François
2016
Estimation of a non-negative location parameter with unknown scale. Zbl 1335.62050
Jozani, Mohammad Jafari; Marchand, Éric; Strawderman, William E.
2014
On runs, bivariate Poisson mixtures and distributions that arise in Bernoulli arrays. Zbl 1318.60011
Aoudia, Djilali Ait; Marchand, Éric; Perron, François; Ben Hadj Slimene, Latifa
2014
Improving on minimum risk equivariant and linear minimax estimators of bounded multivariate location parameters. Zbl 1297.62044
Marchand, Éric; Payandeh Najafabadi, Amir T.
2010
Estimating a bounded parameter for symmetric distributions. Zbl 1294.62038
Marchand, Éric; Perron, François
2009
Controlling a camera in a virtual environment. Zbl 1021.68728
Marchand, É.; Courty, N.
2002
Computing the moments of a truncated noncentral chi-square distribution. Zbl 0893.62007
Marchand, Eric
1996
On shrinkage estimation for balanced loss functions. Zbl 1454.62088
Marchand, Éric; Strawderman, William E.
2020
Multivariate discrete distributions via sums and shares. Zbl 1417.62129
Jones, M. C.; Marchand, Éric
2019
On predictive density estimation with additional information. Zbl 1409.62116
2018
On predictive density estimation for location families under integrated absolute error loss. Zbl 1382.62011
Kubokawa, Tatsuya; Marchand, Éric; Strawderman, William E.
2017
On estimating a bounded normal mean with applications to predictive density estimation. Zbl 1362.62018
Marchand, Éric; Perron, François; Yadegari, Iraj
2017
A unified approach to estimation of noncentrality parameters, the multiple correlation coefficient, and mixture models. Zbl 1380.62031
Kubokawa, T.; Marchand, Éric; Strawderman, W. E.
2017
On predictive density estimation for gamma models with parametric constraints. Zbl 1356.62044
L’Moudden, Aziz; Marchand, Éric; Kortbi, Othmane; Strawderman, William E.
2017
Counts of Bernoulli success strings in a multivariate framework. Zbl 1375.60030
Aoudia, Djilali Ait; Marchand, Éric; Perron, François
2016
On predictive density estimation for location families under integrated squared error loss. Zbl 1327.62054
Kubokawa, Tatsuya; Marchand, Éric; Strawderman, William E.
2015
On improved shrinkage estimators for concave loss. Zbl 1308.62014
Kubokawa, Tatsuya; Marchand, Éric; Strawderman, William E.
2015
On continuous distribution functions, minimax and best invariant estimators, and integrated balanced loss functions. Zbl 1297.62021
Jozani, Mohammad Jafari; Leblanc, Alexandre; Marchand, Éric
2014
Estimation of a non-negative location parameter with unknown scale. Zbl 1335.62050
Jozani, Mohammad Jafari; Marchand, Éric; Strawderman, William E.
2014
On runs, bivariate Poisson mixtures and distributions that arise in Bernoulli arrays. Zbl 1318.60011
Aoudia, Djilali Ait; Marchand, Éric; Perron, François; Ben Hadj Slimene, Latifa
2014
Minimaxity in predictive density estimation with parametric constraints. Zbl 1277.62044
Kubokawa, Tatsuya; Marchand, Éric; Strawderman, William E.; Turcotte, Jean-Philippe
2013
On Bayesian credible sets, restricted parameter spaces and frequentist coverage. Zbl 1336.62097
Marchand, Éric; Strawderman, William E.
2013
Fully coupled generalized hybrid-mixed finite element approximation of two-phase two-component flow in porous media. I: Formulation and properties of the mathematical model. Zbl 1382.76173
Marchand, E.; Müller, T.; Knabner, P.
2013
Bayesian and robust Bayesian analysis under a general class of balanced loss functions. Zbl 1241.62004
2012
A unified minimax result for restricted parameter spaces. Zbl 1251.49024
Marchand, Éric; Strawderman, William E.
2012
Inadmissible estimators of normal quantiles and two-sample problems with additional information. Zbl 1326.62055
Marchand, Éric; Jozani, Mohammad Jafari; Tripathi, Yogesh Mani
2012
Second-order optimization of mutual information for real-time image registration. Zbl 1373.94095
Dame, Amaury; Marchand, Eric
2012
Truncated linear estimation of a bounded multivariate normal mean. Zbl 1270.62092
Kortbi, Othmane; Marchand, Éric
2012
On improved predictive density estimation with parametric constraints. Zbl 1274.62079
Fourdrinier, Dominique; Marchand, Éric; Righi, Ali; Strawderman, William E.
2011
Bayesian improvements of a MRE estimator of a bounded location parameter. Zbl 1271.62046
Marchand, Éric; Najafabadi, Amir T. Payandeh
2011
On Bayes estimators with uniform priors on spheres and their comparative performance with maximum likelihood estimators for estimating bounded multivariate normal means. Zbl 1352.62047
Fourdrinier, Dominique; Marchand, Éric
2010
On the number of runs for Bernoulli arrays. Zbl 1196.60016
Aoudia, Djilali Ait; Marchand, Éric
2010
Improving on minimum risk equivariant and linear minimax estimators of bounded multivariate location parameters. Zbl 1297.62044
Marchand, Éric; Payandeh Najafabadi, Amir T.
2010
Bayes estimation based on $$k$$-record data from a general class of distributions under balanced type loss functions. Zbl 1156.62015
2009
Prediction of $$k$$-records from a general class of distributions under balanced type loss functions. Zbl 1433.62024
2009
On the Bayesianity of maximum likelihood estimators of restricted location parameters under absolute value error loss. Zbl 1274.62169
Kucerovsky, Dan; Marchand, Eric; Najafabadi, Amir T. Payandeh; Strawderman, William E.
2009
Estimating a bounded parameter for symmetric distributions. Zbl 1294.62038
Marchand, Éric; Perron, François
2009
On the frequentist coverage of Bayesian credible intervals for lower bounded means. Zbl 1320.62040
Marchand, Éric; Strawderman, William E.; Bosa, Keven; Lmoudden, Aziz
2008
Minimax estimation of constrained parametric functions for discrete families of distributions. Zbl 1433.62071
2007
On estimation with weighted balanced-type loss function. Zbl 1090.62007
2006
Density of the ratio of two normal random variables and applications. Zbl 1105.62018
Pham-Gia, T.; Turkkan, N.; Marchand, E.
2006
On the behavior of Bayesian credible intervals for some restricted parameter space problems. Zbl 1268.62033
Marchand, Éric; Strawderman, William E.
2006
Minimax estimation of a bounded parameter of a discrete distribution. Zbl 1086.62029
2006
Improving on the minimum risk equivariant estimator of a location parameter which is constrained to an interval or a half-interval. Zbl 1082.62029
Marchand, Éric; Strawderman, William E.
2005
On improving on the minimum risk equivariant estimator of a scale parameter under a lower-bound constraint. Zbl 1067.62025
Marchand, Éric; Strawderman, William E.
2005
Improving on the mle of a bounded location parameter for spherical distributions. Zbl 1062.62101
Marchand, Éric; Perron, François
2005
On the equality in distribution of the random variables $$X$$ and $$g(X)$$. Zbl 1085.60009
Kucerovsky, Dan; Marchand, Eric; Small, Robert D.
2005
Minimax estimation of a constrained binomial proportion $$p$$ when $$|p-1/2|$$ is small. Zbl 1192.62063
Marchand, Eric; Perron, Franc Cois; Gueye, Rokhaya
2005
Estimation in restricted parameter spaces: a review. Zbl 1268.62030
Marchand, Eric; Strawderman, William E.
2004
On sums of products of Bernoulli variables and random permutations. Zbl 1054.60013
Joffe, Anatole; Marchand, Éric; Perron, François; Popadiuk, Paul
2004
On the minimax estimator of a bounded normal mean. Zbl 1056.62036
Marchand, Éric; Perron, François
2002
Controlling a camera in a virtual environment. Zbl 1021.68728
Marchand, É.; Courty, N.
2002
Improving on the MLE of a bounded normal mean. Zbl 1041.62016
Marchand, Éric; Perron, François
2001
Point estimation of the coefficient of determination. Zbl 0969.62004
Marchand, Éric
2001
Minimax estimation of a constrained binomial proportion. Zbl 0953.62010
Marchand, Éric; MacGibbon, Brenda
2000
On moments of beta mixtures, the noncentral beta distribution, and the coefficient of determination. Zbl 0886.62018
Marchand, Éric
1997
Computing the moments of a truncated noncentral chi-square distribution. Zbl 0893.62007
Marchand, Eric
1996
On the estimation of the mean of a $$N_ p(\mu ,\Sigma)$$ population with $$\mu'\Sigma^{-1}\mu$$ known. Zbl 0805.62058
Marchand, Eric
1994
Estimation of a multivariate mean with constraints on the norm. Zbl 0787.62060
Marchand, Eric
1993
James-Stein estimation with constraints on the norm. Zbl 0797.62043
Marchand, E.; Giri, N. C.
1993
all top 5

#### Cited by 231 Authors

 38 Marchand, Eric 26 Strawderman, William Edward 13 Ahmadi, Jafar 9 Jafari Jozani, Mohammad 8 Kubokawa, Tatsuya 7 Balakrishnan, Narayanaswamy 6 Fourdrinier, Dominique 6 Parsian, Ahmad 5 Cao, Mingxiang 5 Payandeh Najafabadi, Amir T. 5 Perron, François 4 Hu, Guikai 4 Jones, Michael Chris 4 Mirmostafaee, S. M. T. K. 4 Peng, Ping 3 Bickel, David R. 3 Chang, Yuan-Tsung 3 Holst, Lars 3 Kortbi, Othmane 3 Lmoudden, Aziz 3 Matsuda, Takeru 3 Nematollahi, Nader 3 Ouassou, Idir 3 Rukhin, Andrew L. 3 Sethuraman, Jayaram 3 Wang, Liang 2 Aoudia, Djilali Ait 2 Arashi, Mohammed 2 Baricz, Árpád 2 Cho, Youngseuk 2 Dicker, Lee H. 2 Gamrot, Wojciech 2 Garg, Gaurav 2 Gui, Wenhao 2 He, Daojiang 2 Huffer, Fred W. 2 Kim, Hea-Jung 2 Lee, Kyeongjun 2 Makri, Frosso S. 2 Nadarajah, Saralees 2 Petropoulos, Constantinos 2 Psillakis, Zaharias M. 2 Sethuraman, Sunder 2 Shalabh, Bhatnagar 2 Sultana, Farha 2 Tripathi, Yogesh Mani 2 Tsukuma, Hisayuki 1 Abdel-Hamid, Alaa H. 1 Abushal, Tahani A. 1 Afshari, Mahmoud 1 Ahmed, Essam A. 1 Al-Hussaini, Essam Khalaf 1 Alazemi, Fares 1 Alsenafi, Abdulaziz 1 Amdeberhan, Tewodros 1 Arellano-Valle, Reinaldo Boris 1 Asgharzadeh, Akbar 1 Ateya, Saieed F. 1 Bahamyirou, Asma 1 Baringhaus, Ludwig 1 Barot, D. R. 1 Basiri, Elham 1 Bazaz, Ali Panahi 1 Beaude, Laurence 1 Bhattacharya, Sabyasachi 1 Bhowmick, Amiya Ranjan 1 Białek, Jacek 1 Bosa, Keven 1 Brandwein, Ann Cohen 1 Brenner, Konstantin 1 Brunner, Fabian 1 Burkschat, Marco 1 Carroll, Raymond James 1 Castagliola, Philippe 1 Castañer, Anna 1 Celano, Giovanni 1 Chaturvedi, Ajit Kumar 1 Chen, Fuqi 1 Chen, Hongzhi 1 Chen, Ping 1 Chen, Zhen 1 Cheng, Changlun 1 Cheng, Ching-Long 1 Claramunt, M. Mercè 1 Coolen, Frank P. A. 1 Cramer, Erhard 1 Cui, Qianqian 1 Cymrot, Raquel 1 Danaher, Michelle R. 1 Dey, Sanku 1 Dhar, Subhra Sankar 1 Dias, José Carlos 1 Djerfi, Kouider 1 Durand, Jean-Baptiste 1 El Mouatasim, Abdelkrim 1 El-Sagheer, Rashad Mohamed 1 Ellaia, Rachid 1 Es-Sebaiy, Khalifa 1 Farnoosh, Rahman 1 Fernique, Pierre ...and 131 more Authors
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#### Cited in 64 Serials

 20 Journal of Multivariate Analysis 13 Journal of Statistical Planning and Inference 13 Communications in Statistics. Theory and Methods 12 Statistics & Probability Letters 9 Electronic Journal of Statistics 8 Statistics 8 Statistical Papers 6 Journal of Statistical Computation and Simulation 5 Annals of the Institute of Statistical Mathematics 5 Bernoulli 4 Metrika 4 Journal of Applied Probability 4 Journal of Computational and Applied Mathematics 3 Insurance Mathematics & Economics 3 Mathematical Methods of Statistics 3 Sankhyā. Series A 2 The Canadian Journal of Statistics 2 The Annals of Statistics 2 Communications in Statistics. Simulation and Computation 2 Linear Algebra and its Applications 2 Journal of Applied Statistics 2 Computational Geosciences 2 Brazilian Journal of Probability and Statistics 2 Cogent Mathematics 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Scandinavian Journal of Statistics 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Applied Mathematics and Computation 1 Automatica 1 Biometrics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the American Statistical Association 1 Journal of Optimization Theory and Applications 1 Metron 1 Proceedings of the American Mathematical Society 1 Computer Aided Geometric Design 1 Statistical Science 1 International Journal of Approximate Reasoning 1 Computational Statistics 1 Economic Quality Control 1 European Journal of Operational Research 1 Expositiones Mathematicae 1 Computational Statistics and Data Analysis 1 Journal of Mathematical Imaging and Vision 1 Journal of the Egyptian Mathematical Society 1 Integral Transforms and Special Functions 1 Mathematical Population Studies 1 Journal of Inequalities and Applications 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Mediterranean Journal of Mathematics 1 Statistical Methods and Applications 1 Journal of Industrial and Management Optimization 1 Statistical Methodology 1 Journal of the Korean Statistical Society 1 Applications and Applied Mathematics 1 Journal of Statistical Theory and Practice 1 Arabian Journal of Mathematics 1 Communications in Mathematics and Statistics 1 Mathematics 1 Japanese Journal of Statistics and Data Science
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#### Cited in 17 Fields

 150 Statistics (62-XX) 24 Probability theory and stochastic processes (60-XX) 15 Numerical analysis (65-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Special functions (33-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)