# zbMATH — the first resource for mathematics

## Perlman, Michael D.

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 Author ID: perlman.michael-d Published as: Perlman, M.; Perlman, M. D.; Perlman, Michael; Perlman, Michael D.; Perlman, Michael. D. Homepage: https://www.stat.washington.edu/personnel/people.php?id=75 External Links: MGP · Wikidata · dblp
 Documents Indexed: 102 Publications since 1969
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#### Co-Authors

 18 single-authored 17 Andersson, Steen Arne 11 Wu, Lang 9 Eaton, Morris L. 8 Madigan, David 6 Chaudhuri, Sanjay 4 Drton, Mathias 4 Marden, John I. 3 Das Gupta, Somesh 2 Diaconis, Persi Warren 2 Fosdick, Bailey K. 2 Grant, Darren 2 Grant, Sheridan 2 Guttorp, Peter 2 Hasegawa, Minoru 2 Lin, Shang P. 2 Olkin, Ingram 2 Triggs, Christopher M. 2 Wichura, Michael J. 1 Anderson, Steen A. 1 Bacon, Dylan 1 Bock, Mary Ellen 1 Brown, Michael Kegan 1 Cohen, Arthur 1 Di, Yanming 1 Dolgopyat, Dmitry 1 Fefferman, Charles Louis 1 Gillispie, Steven B. 1 Gleser, Leon Jay 1 Hall, Richard L. 1 Hebbar, Prashant 1 Huang, Hang 1 Huffer, Fred W. 1 Jiang, Yindeng 1 Joag-Dev, Kumar 1 Jodeit, Max jun. 1 Kanter, Marek 1 Koralov, Leonid B. 1 Koziol, James A. 1 Larntz, Kinley 1 Laudone, Robert P. 1 Levitz, Michael 1 Pavlides, Marios G. 1 Pitt, Loren D. 1 Press, S. James 1 Raicu, Claudiu 1 Rasmussen, Uttara A. 1 Reeves, Jaxk H. 1 Richardson, Thomas Stuart 1 Sackrowitz, Harold B. 1 Sam, Steven V. 1 Sampson, Allan R. 1 Santos, João R. jun. 1 Savage, Leonard Jimmie 1 Sobel, Milton 1 Volinsky, Chris T. 1 Wellner, Jon August
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#### Serials

 13 The Annals of Statistics 12 Journal of Statistical Planning and Inference 8 Journal of Multivariate Analysis 5 Statistics & Probability Letters 5 Linear Algebra and its Applications 3 The Canadian Journal of Statistics 3 The Annals of Probability 3 Sankhyā. Series A. Methods and Techniques 3 Statistical Science 3 Communications in Statistics. Simulation and Computation 2 The American Statistician 2 Metrika 2 Scandinavian Journal of Statistics 2 Journal of the American Statistical Association 2 Pacific Journal of Mathematics 2 Annals of Mathematical Statistics 1 Artificial Intelligence 1 Biometrics 1 Biometrika 1 Journal of Algebra 1 Journal of Applied Probability 1 Journal of Pure and Applied Algebra 1 Proceedings of the American Mathematical Society 1 Communications in Statistics. Theory and Methods 1 Annals of Mathematics and Artificial Intelligence 1 Electronic Journal of Probability 1 Statistical Inference for Stochastic Processes 1 Communications in Statistics 1 Undergraduate Math Journal 1 Symmetry 1 The Journal of Software for Algebra and Geometry
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#### Fields

 79 Statistics (62-XX) 22 Probability theory and stochastic processes (60-XX) 13 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Computer science (68-XX) 4 Numerical analysis (65-XX) 3 Commutative algebra (13-XX) 3 Real functions (26-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

83 Publications have been cited 971 times in 698 Documents Cited by Year
One-sided testing problem in multivariate analysis. Zbl 0179.24001
Perlman, M. D.
1969
A characterization of Markov equivalence classes for acyclic digraphs. Zbl 0876.60095
1997
Alternative Markov properties for chain graphs. Zbl 0972.60067
2001
The non-singularity of generalized sample covariance matrices. Zbl 0261.62037
Eaton, Morris L.; Perlman, Michael D.
1973
Reflection groups, generalized Schur functions, and the geometry of majorization. Zbl 0401.51006
Eaton, Morris L.; Perlman, Michael D.
1977
Inequalities on the probability content of convex regions for elliptically contoured distributions. Zbl 0253.60021
Das Gupta, S.; Olkin, I.; Savage, L. J.; Eaton, M. L.; Perlman, M.; Sobel, M.
1972
Model selection for Gaussian concentration graphs. Zbl 1108.62098
Drton, Mathias; Perlman, Michael D.
2004
The emperor’s new tests. (With comments and a rejoinder). Zbl 1059.62515
Perlman, Michael D.; Wu, Lang
1999
Power of the noncentral F-test: effect of additional variates on Hotelling’s T$$^2$$-test. Zbl 0285.62027
Gupta, Somesh Das; Perlman, Michael D.
1974
A Monte Carlo comparison of four estimators of a covariance matrix. Zbl 0593.62051
Lin, Shang P.; Perlman, Michael D.
1985
Lattice models for conditional independence in a multivariate normal distribution. Zbl 0803.62042
Andersson, Steen Arne; Perlman, Michael D.
1993
Unbiasedness of the likelihood ratio tests for equality of several covariance matrices and equality of several multivariate normal populations. Zbl 0427.62029
Perlman, Michael D.
1980
Inequalities for linear combinations of gamma random variables. Zbl 0653.60017
Bock, M. E.; Diaconis, P.; Huffer, F. W.; Perlman, M. D.
1987
Multiple testing and error control in Gaussian graphical model selection. Zbl 1246.62143
Drton, Mathias; Perlman, Michael D.
2007
A SINful approach to Gaussian graphical model selection. Zbl 1130.62068
Drton, Mathias; Perlman, Michael D.
2008
Unbiasedness of invariant tests for MANOVA and other multivariate problems. Zbl 0465.62046
Perlman, Michael D.; Olkin, Ingram
1980
On the Markov equivalence of chain graphs, undirected graphs, and acyclic digraphs. Zbl 0918.60050
1997
Association of normal random variables and Slepian’s inequality. Zbl 0509.62043
Joag-Dev, Kumar; Perlman, Michael D.; Pitt, Loren D.
1983
Normal linear regression models with recursive graphical Markov structure. Zbl 1127.62377
Andersson, Steen A.; Perlman, Michael D.
1998
Jensen’s inequality for a convex vector-valued function on an infinite- dimensional space. Zbl 0274.28012
Perlman, Michael D.
1974
On the relation between conditional independence models determined by finite distributive lattices and by directed acyclic graphs. Zbl 0839.62063
1995
Some remarks on estimating a noncentrality parameter. Zbl 0302.62012
Perlman, Michael D.; Rasmussen, Uttara A.
1975
Separation and completeness properties for AMP chain graph Markov models. Zbl 1043.62080
Levitz, Michael; Perlman, Michael D.; Madigan, David
2001
A graphical characterization of lattice conditional independence models. Zbl 0888.68090
1997
Combining independent chi-squared tests. Zbl 0394.62019
Koziol, James A.; Perlman, Michael D.
1978
On the strong consistency of approximate maximum likelihood estimators. Zbl 0232.62004
Perlman, Michael D.
1972
A defense of the likelihood ratio test for one-sided and order-restricted alternatives. Zbl 1095.62502
Perlman, Michael D.; Wu, Lang
2002
The size distribution for Markov equivalence classes of acyclic digraph models. Zbl 1043.68096
Gillispie, Steven B.; Perlman, Michael D.
2002
Bayesian model averaging and model selection for Markov equivalence classes of acyclic digraphs. Zbl 0894.62032
1996
Characterizing Markov equivalence classes for AMP chain graph models. Zbl 1096.62097
Andersson, Steen A.; Perlman, Michael D.
2006
Lattice-ordered conditional independence models for missing data. Zbl 0751.62026
Andersson, Steen A.; Perlman, Michael D.
1991
Bounds for tail probabilities of weighted sums of independent gamma random variables. Zbl 0769.60018
Diaconis, Persi; Perlman, Michael D.
1990
Group-invariant analogues of Hadamard’s inequality. Zbl 0656.15011
Andersson, Steen A.; Perlman, Michael D.
1988
A monotonicity property of the power functions of some invariant tests for MANOVA. Zbl 0287.62028
Eaton, Morris L.; Perlman, Michael D.
1974
Testing lattice conditional independence models. Zbl 0877.62057
Andersson, Steen Arne; Perlman, Michael D.
1995
Unbiasedness of tests of homogeneity when alternatives are ordered. Zbl 0770.62013
Cohen, Arthur; Perlman, Michael D.; Sackrowitz, Harold B.
1990
Two testing problems relating the real and complex multivariate normal distributions. Zbl 0544.62052
Andersson, Steen A.; Perlman, Michael D.
1984
On the bias and mean-square error of order-restricted maximum likelihood estimators. Zbl 1083.62048
Chaudhuri, Sanjay; Perlman, Michael D.
2005
Concentration inequalities for multivariate distributions. I: Multivariate normal distributions. Zbl 0749.62036
Eaton, Morris L.; Perlman, Michael D.
1991
Invariant tests for means with covariates. Zbl 0454.62049
Marden, John; Perlman, Michael D.
1980
A spherical surface measure inequality for convex sets. Zbl 0233.52006
Fefferman, Charles; Jodeit, Max jun.; Perlman, Michael D.
1972
A class of conditional tests for a multivariate one-sided alternative. Zbl 1137.62343
Perlman, Michael D.; Wu, Lang
2002
Unbiasedness of the likelihood ratio test for lattice conditional independence models. Zbl 0877.62058
Andersson, Steen A.; Perlman, Michael D.
1995
Sharpening Buffon’s needle. Zbl 0332.62026
Perlman, Michael D.; Wichura, Michael J.
1975
On the existence of a minimal sufficient subfield. Zbl 0291.62006
Hasegawa, Minoru; Perlman, Michael D.
1974
On the monotonicity of the power functions of tests based on traces of multivariate beta matrices. Zbl 0275.62049
Perlman, Michael D.
1974
Predicting extinction or explosion in a Galton-Watson branching process with power series offspring distribution. Zbl 1326.62176
Guttorp, Peter; Perlman, Michael D.
2015
Squaring the circle and cubing the sphere: Circular and spherical copulas. Zbl 1360.60046
Perlman, Michael D.; Wellner, Jon A.
2011
On the validity of the likelihood ratio and maximum likelihood methods. Zbl 1022.62048
Perlman, Michael D.; Wu, Lang
2003
A simple test for the equality of correlation matrices. Zbl 0664.62054
Larntz, Kinley; Perlman, Michael D.
1988
Consistent estimation of the minimum normal mean under the tree-order restriction. Zbl 1121.62023
Chaudhuri, Sanjay; Perlman, Michael. D.
2007
Conditional independence models for seemingly unrelated regressions with incomplete data. Zbl 1085.62056
Drton, Mathias; Andersson, Steen A.; Perlman, Michael D.
2006
Biases of the maximum likelihood and Cohen-Sackrowitz estimators for the tree-order model. Zbl 1066.62037
Chaudhuri, Sanjay; Perlman, Michael D.
2005
Testing lattice conditional independence models based on monotone missing data. Zbl 1179.62067
Wu, Lang; Perlman, Michael D.
2000
Inequalities for the probability content of a rotated square and related convolutions. Zbl 0452.60024
Hall, Richard L.; Kanter, Marek; Perlman, Michael D.
1980
On the power of Wilks’ U-test for MANOVA. Zbl 0269.62050
Das Gupta, Somesh; Perlman, Michael D.
1973
Characterizing measurability, distribution and weak convergence of random variables in a Banach space by total subsets of linear functionals. Zbl 0239.60007
Perlman, Michael D.
1972
Multi-type branching processes with time-dependent branching rates. Zbl 1402.60107
Dolgopyat, D.; Hebbar, P.; Koralov, L.; Perlman, M.
2018
Variance-stabilizing and confidence-stabilizing transformations for the normal correlation coefficient with known variances. Zbl 1343.62008
Fosdick, Bailey K.; Perlman, Michael D.
2016
A note on one-sided tests with multiple endpoints. Zbl 1109.62048
Perlman, Michael D.; Wu, Lang
2004
The role of reversals in order-restricted inference. Zbl 1056.62042
Perlman, Michael D.; Chaudhuri, Sanjay
2004
Graphical model search via essential graphs. Zbl 1018.05098
Perlman, Michael D.
2001
Lattice conditional independence models for contingency tables with non-monotone missing data patterns. Zbl 0943.62055
Perlman, Michael D.; Wu, Lang
1999
Totally ordered multivariate linear models. Zbl 0815.62029
Anderson, Steen A.; Marden, John I.; Perlman, Michael D.
1993
Multivariate probability inequalities: Convolution theorems, composition theorems, and concentration inequalities. Zbl 0760.60017
Eaton, Morris L.; Perlman, Michael D.
1991
On the inadmissibility of step-down procedures for the Hotelling $$T^ 2$$ problem. Zbl 0712.62052
Marden, John I.; Perlman, Michael D.
1990
Generating $$\mathcal O(n)$$ with reflections. Zbl 0365.15007
Eaton, Morris L.; Perlman, Michael
1977
Predicting extinction or explosion in a Galton-Watson branching process. Zbl 1307.60118
Guttorp, Peter; Perlman, Michael D.
2013
Reversing the Stein effect. Zbl 1330.62293
Perlman, Michael D.; Chaudhuri, Sanjay
2012
Some improved tests for multivariate one-sided hypotheses. Zbl 1098.62078
Perlman, Michael D.; Wu, Lang
2006
Two step-down tests for equality of covariance matrices. Zbl 1099.62054
Chaudhuri, Sanjay; Perlman, Michael D.
2006
Some model-restricted shrinkage estimators for contingency tables with missing data. Zbl 1093.62549
Wu, Lang; Reeves, Jaxk; Perlman, Michael D.
2000
Efficiency of lattice conditional independence models for multinormal samples with non-monotone missing data. Zbl 0968.62523
Wu, Lang; Perlman, Michael D.
2000
Lattice conditional independence models for seemingly unrelated regressions. Zbl 0968.62527
Wu, Lang; Perlman, Michael D.
2000
Graphical Markov models in multivariate analysis. Zbl 1068.62515
1999
A characterization of matrix groups that act transitively on the cone of positive definite matrices. Zbl 0798.15016
Andersson, Steen A.; Perlman, Michael D.
1994
A brief biography and appreciation of Ingram Olkin. Zbl 0792.01046
Gleser, Leon Jay; Perlman, Michael D.; Press, S. James; Sampson, Allan R.
1994
Concentration inequalities for multivariate distributions. II: Elliptically contoured distributions. Zbl 1400.62109
Perlman, Michael D.
1992
An improved procedure for the estimation of a correlation matrix. Zbl 0577.62050
Lin, S. P.; Perlman, M. D.
1985
The limiting behavior of multiple roots of the likelihood equation. Zbl 0538.62027
Perlman, Michael D.
1983
Unbiasedness of multivariate tests: recent results. Zbl 0434.62037
Perlman, Michael D.
1980
Generating $$\mathcal O(n)$$ with reflections. Zbl 0351.15011
Eaton, Morris L.; Perlman, M. D.
1977
A note on substitution in conditional distribution. Zbl 0323.62009
Perlman, Michael D.; Wichura, Michael J.
1975
Multi-type branching processes with time-dependent branching rates. Zbl 1402.60107
Dolgopyat, D.; Hebbar, P.; Koralov, L.; Perlman, M.
2018
Variance-stabilizing and confidence-stabilizing transformations for the normal correlation coefficient with known variances. Zbl 1343.62008
Fosdick, Bailey K.; Perlman, Michael D.
2016
Predicting extinction or explosion in a Galton-Watson branching process with power series offspring distribution. Zbl 1326.62176
Guttorp, Peter; Perlman, Michael D.
2015
Predicting extinction or explosion in a Galton-Watson branching process. Zbl 1307.60118
Guttorp, Peter; Perlman, Michael D.
2013
Reversing the Stein effect. Zbl 1330.62293
Perlman, Michael D.; Chaudhuri, Sanjay
2012
Squaring the circle and cubing the sphere: Circular and spherical copulas. Zbl 1360.60046
Perlman, Michael D.; Wellner, Jon A.
2011
A SINful approach to Gaussian graphical model selection. Zbl 1130.62068
Drton, Mathias; Perlman, Michael D.
2008
Multiple testing and error control in Gaussian graphical model selection. Zbl 1246.62143
Drton, Mathias; Perlman, Michael D.
2007
Consistent estimation of the minimum normal mean under the tree-order restriction. Zbl 1121.62023
Chaudhuri, Sanjay; Perlman, Michael. D.
2007
Characterizing Markov equivalence classes for AMP chain graph models. Zbl 1096.62097
Andersson, Steen A.; Perlman, Michael D.
2006
Conditional independence models for seemingly unrelated regressions with incomplete data. Zbl 1085.62056
Drton, Mathias; Andersson, Steen A.; Perlman, Michael D.
2006
Some improved tests for multivariate one-sided hypotheses. Zbl 1098.62078
Perlman, Michael D.; Wu, Lang
2006
Two step-down tests for equality of covariance matrices. Zbl 1099.62054
Chaudhuri, Sanjay; Perlman, Michael D.
2006
On the bias and mean-square error of order-restricted maximum likelihood estimators. Zbl 1083.62048
Chaudhuri, Sanjay; Perlman, Michael D.
2005
Biases of the maximum likelihood and Cohen-Sackrowitz estimators for the tree-order model. Zbl 1066.62037
Chaudhuri, Sanjay; Perlman, Michael D.
2005
Model selection for Gaussian concentration graphs. Zbl 1108.62098
Drton, Mathias; Perlman, Michael D.
2004
A note on one-sided tests with multiple endpoints. Zbl 1109.62048
Perlman, Michael D.; Wu, Lang
2004
The role of reversals in order-restricted inference. Zbl 1056.62042
Perlman, Michael D.; Chaudhuri, Sanjay
2004
On the validity of the likelihood ratio and maximum likelihood methods. Zbl 1022.62048
Perlman, Michael D.; Wu, Lang
2003
A defense of the likelihood ratio test for one-sided and order-restricted alternatives. Zbl 1095.62502
Perlman, Michael D.; Wu, Lang
2002
The size distribution for Markov equivalence classes of acyclic digraph models. Zbl 1043.68096
Gillispie, Steven B.; Perlman, Michael D.
2002
A class of conditional tests for a multivariate one-sided alternative. Zbl 1137.62343
Perlman, Michael D.; Wu, Lang
2002
Alternative Markov properties for chain graphs. Zbl 0972.60067
2001
Separation and completeness properties for AMP chain graph Markov models. Zbl 1043.62080
Levitz, Michael; Perlman, Michael D.; Madigan, David
2001
Graphical model search via essential graphs. Zbl 1018.05098
Perlman, Michael D.
2001
Testing lattice conditional independence models based on monotone missing data. Zbl 1179.62067
Wu, Lang; Perlman, Michael D.
2000
Some model-restricted shrinkage estimators for contingency tables with missing data. Zbl 1093.62549
Wu, Lang; Reeves, Jaxk; Perlman, Michael D.
2000
Efficiency of lattice conditional independence models for multinormal samples with non-monotone missing data. Zbl 0968.62523
Wu, Lang; Perlman, Michael D.
2000
Lattice conditional independence models for seemingly unrelated regressions. Zbl 0968.62527
Wu, Lang; Perlman, Michael D.
2000
The emperor’s new tests. (With comments and a rejoinder). Zbl 1059.62515
Perlman, Michael D.; Wu, Lang
1999
Lattice conditional independence models for contingency tables with non-monotone missing data patterns. Zbl 0943.62055
Perlman, Michael D.; Wu, Lang
1999
Graphical Markov models in multivariate analysis. Zbl 1068.62515
1999
Normal linear regression models with recursive graphical Markov structure. Zbl 1127.62377
Andersson, Steen A.; Perlman, Michael D.
1998
A characterization of Markov equivalence classes for acyclic digraphs. Zbl 0876.60095
1997
On the Markov equivalence of chain graphs, undirected graphs, and acyclic digraphs. Zbl 0918.60050
1997
A graphical characterization of lattice conditional independence models. Zbl 0888.68090
1997
Bayesian model averaging and model selection for Markov equivalence classes of acyclic digraphs. Zbl 0894.62032
1996
On the relation between conditional independence models determined by finite distributive lattices and by directed acyclic graphs. Zbl 0839.62063
1995
Testing lattice conditional independence models. Zbl 0877.62057
Andersson, Steen Arne; Perlman, Michael D.
1995
Unbiasedness of the likelihood ratio test for lattice conditional independence models. Zbl 0877.62058
Andersson, Steen A.; Perlman, Michael D.
1995
A characterization of matrix groups that act transitively on the cone of positive definite matrices. Zbl 0798.15016
Andersson, Steen A.; Perlman, Michael D.
1994
A brief biography and appreciation of Ingram Olkin. Zbl 0792.01046
Gleser, Leon Jay; Perlman, Michael D.; Press, S. James; Sampson, Allan R.
1994
Lattice models for conditional independence in a multivariate normal distribution. Zbl 0803.62042
Andersson, Steen Arne; Perlman, Michael D.
1993
Totally ordered multivariate linear models. Zbl 0815.62029
Anderson, Steen A.; Marden, John I.; Perlman, Michael D.
1993
Concentration inequalities for multivariate distributions. II: Elliptically contoured distributions. Zbl 1400.62109
Perlman, Michael D.
1992
Lattice-ordered conditional independence models for missing data. Zbl 0751.62026
Andersson, Steen A.; Perlman, Michael D.
1991
Concentration inequalities for multivariate distributions. I: Multivariate normal distributions. Zbl 0749.62036
Eaton, Morris L.; Perlman, Michael D.
1991
Multivariate probability inequalities: Convolution theorems, composition theorems, and concentration inequalities. Zbl 0760.60017
Eaton, Morris L.; Perlman, Michael D.
1991
Bounds for tail probabilities of weighted sums of independent gamma random variables. Zbl 0769.60018
Diaconis, Persi; Perlman, Michael D.
1990
Unbiasedness of tests of homogeneity when alternatives are ordered. Zbl 0770.62013
Cohen, Arthur; Perlman, Michael D.; Sackrowitz, Harold B.
1990
On the inadmissibility of step-down procedures for the Hotelling $$T^ 2$$ problem. Zbl 0712.62052
Marden, John I.; Perlman, Michael D.
1990
Group-invariant analogues of Hadamard’s inequality. Zbl 0656.15011
Andersson, Steen A.; Perlman, Michael D.
1988
A simple test for the equality of correlation matrices. Zbl 0664.62054
Larntz, Kinley; Perlman, Michael D.
1988
Inequalities for linear combinations of gamma random variables. Zbl 0653.60017
Bock, M. E.; Diaconis, P.; Huffer, F. W.; Perlman, M. D.
1987
A Monte Carlo comparison of four estimators of a covariance matrix. Zbl 0593.62051
Lin, Shang P.; Perlman, Michael D.
1985
An improved procedure for the estimation of a correlation matrix. Zbl 0577.62050
Lin, S. P.; Perlman, M. D.
1985
Two testing problems relating the real and complex multivariate normal distributions. Zbl 0544.62052
Andersson, Steen A.; Perlman, Michael D.
1984
Association of normal random variables and Slepian’s inequality. Zbl 0509.62043
Joag-Dev, Kumar; Perlman, Michael D.; Pitt, Loren D.
1983
The limiting behavior of multiple roots of the likelihood equation. Zbl 0538.62027
Perlman, Michael D.
1983
Unbiasedness of the likelihood ratio tests for equality of several covariance matrices and equality of several multivariate normal populations. Zbl 0427.62029
Perlman, Michael D.
1980
Unbiasedness of invariant tests for MANOVA and other multivariate problems. Zbl 0465.62046
Perlman, Michael D.; Olkin, Ingram
1980
Invariant tests for means with covariates. Zbl 0454.62049
Marden, John; Perlman, Michael D.
1980
Inequalities for the probability content of a rotated square and related convolutions. Zbl 0452.60024
Hall, Richard L.; Kanter, Marek; Perlman, Michael D.
1980
Unbiasedness of multivariate tests: recent results. Zbl 0434.62037
Perlman, Michael D.
1980
Combining independent chi-squared tests. Zbl 0394.62019
Koziol, James A.; Perlman, Michael D.
1978
Reflection groups, generalized Schur functions, and the geometry of majorization. Zbl 0401.51006
Eaton, Morris L.; Perlman, Michael D.
1977
Generating $$\mathcal O(n)$$ with reflections. Zbl 0365.15007
Eaton, Morris L.; Perlman, Michael
1977
Generating $$\mathcal O(n)$$ with reflections. Zbl 0351.15011
Eaton, Morris L.; Perlman, M. D.
1977
Some remarks on estimating a noncentrality parameter. Zbl 0302.62012
Perlman, Michael D.; Rasmussen, Uttara A.
1975
Sharpening Buffon’s needle. Zbl 0332.62026
Perlman, Michael D.; Wichura, Michael J.
1975
A note on substitution in conditional distribution. Zbl 0323.62009
Perlman, Michael D.; Wichura, Michael J.
1975
Power of the noncentral F-test: effect of additional variates on Hotelling’s T$$^2$$-test. Zbl 0285.62027
Gupta, Somesh Das; Perlman, Michael D.
1974
Jensen’s inequality for a convex vector-valued function on an infinite- dimensional space. Zbl 0274.28012
Perlman, Michael D.
1974
A monotonicity property of the power functions of some invariant tests for MANOVA. Zbl 0287.62028
Eaton, Morris L.; Perlman, Michael D.
1974
On the existence of a minimal sufficient subfield. Zbl 0291.62006
Hasegawa, Minoru; Perlman, Michael D.
1974
On the monotonicity of the power functions of tests based on traces of multivariate beta matrices. Zbl 0275.62049
Perlman, Michael D.
1974
The non-singularity of generalized sample covariance matrices. Zbl 0261.62037
Eaton, Morris L.; Perlman, Michael D.
1973
On the power of Wilks’ U-test for MANOVA. Zbl 0269.62050
Das Gupta, Somesh; Perlman, Michael D.
1973
Inequalities on the probability content of convex regions for elliptically contoured distributions. Zbl 0253.60021
Das Gupta, S.; Olkin, I.; Savage, L. J.; Eaton, M. L.; Perlman, M.; Sobel, M.
1972
On the strong consistency of approximate maximum likelihood estimators. Zbl 0232.62004
Perlman, Michael D.
1972
A spherical surface measure inequality for convex sets. Zbl 0233.52006
Fefferman, Charles; Jodeit, Max jun.; Perlman, Michael D.
1972
Characterizing measurability, distribution and weak convergence of random variables in a Banach space by total subsets of linear functionals. Zbl 0239.60007
Perlman, Michael D.
1972
One-sided testing problem in multivariate analysis. Zbl 0179.24001
Perlman, M. D.
1969
all top 5

#### Cited by 896 Authors

 35 Perlman, Michael D. 19 Niezgoda, Marek 14 Henze, Norbert 12 Andersson, Steen Arne 12 Studený, Milan 12 Wu, Lang 9 Drton, Mathias 9 Sen, Pranab Kumar 8 Cohen, Arthur 8 Peña, José-María 7 Chaudhuri, Sanjay 7 Consonni, Guido 7 Sackrowitz, Harold B. 6 Bühlmann, Peter 6 Mukhopadhyay, Nitis 6 Richards, Donald St. P. 5 Eaton, Morris L. 5 Jensen, Donald R. 5 Klar, Bernhard 5 Konno, Yoshihiko 5 Massam, Helene M. 5 Richardson, Thomas Stuart 5 Sadeghi, Kayvan 5 Sampson, Allan R. 5 Sun, Dongchu 5 Tam, Tin-Yau 5 Wermuth, Nanny 4 Aoshima, Makoto 4 Imada, Tsunehisa 4 Kochar, Subhash C. 4 Kubokawa, Tatsuya 4 La Rocca, Luca 4 Maathuis, Marloes H. 4 Roverato, Alberto 4 Rukhin, Andrew L. 4 Takemura, Akimichi 4 Tsai, Ming-Tien 4 Wright, F. T. 4 Wynn, Henry P. 4 Yata, Kazuyoshi 4 Yu, Yaming 3 Agresti, Alan 3 Bazyari, Abouzar 3 Colombi, Roberto 3 Das Gupta, Somesh 3 Feng, Yanqin 3 Giovagnoli, Alessandra 3 Gottard, Anna 3 Gupta, Arjun Kumar 3 Hallin, Marc 3 Kakizawa, Yoshihide 3 Kalyagin, Valery A. 3 Koldanov, Alexander P. 3 Koldanov, Petr A. 3 Lauritzen, Steffen Lilholt 3 Logan, Brent R. 3 Madigan, David 3 Marchetti, Giovanni Maria 3 Pan, Xiaoqing 3 Paula, Gilberto A. 3 Rinott, Yosef 3 Sheena, Yo 3 Shimodaira, Hidetoshi 3 Silvapulle, Mervyn Joseph 3 Sun, Xiaoqian 3 Uhler, Caroline 3 Vomlel, Jiří 3 Wang, Yining 3 Wood, Graham R. 3 Xu, Kai 3 Xu, Maochao 2 Anderson, Theodore Wilbur jun. 2 Arboretti Giancristofaro, Rosa 2 Balakrishnan, Narayanaswamy 2 Baringhaus, Ludwig 2 Ben-David, Emanuel 2 Bogachev, Vladimir Igorevich 2 Borell, Christer 2 Bouckaert, Remco R. 2 Cambanis, Stamatis 2 Carvalho, Carlos Marinho 2 Castelletti, Federico 2 Castelo, Robert 2 Chattopadhyay, Gopaldeb 2 Claeskens, Gerda 2 Colombo, Diego 2 Coull, Brent A. 2 Cox, David Roxbee 2 Cysneiros, Francisco José A. 2 Diaconis, Persi Warren 2 Dobra, Adrian 2 Draisma, Jan 2 Eichler, Michael 2 Evans, Michael John 2 Fan, Jianqing 2 Feng, Yang 2 Forcina, Antonio 2 Foutz, Robert V. 2 Fujikoshi, Yasunori 2 Ganjali, Mojtaba ...and 796 more Authors
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#### Cited in 144 Serials

 90 Journal of Multivariate Analysis 61 Journal of Statistical Planning and Inference 49 The Annals of Statistics 46 Statistics & Probability Letters 31 Linear Algebra and its Applications 24 Communications in Statistics. Theory and Methods 19 International Journal of Approximate Reasoning 18 Computational Statistics and Data Analysis 15 The Canadian Journal of Statistics 14 Journal of Econometrics 13 Journal of Statistical Computation and Simulation 11 Metrika 11 Annals of the Institute of Statistical Mathematics 11 Communications in Statistics. Simulation and Computation 11 Bernoulli 11 Electronic Journal of Statistics 9 Statistics and Computing 8 Journal of Mathematical Analysis and Applications 7 Biometrics 7 Insurance Mathematics & Economics 7 Statistical Science 7 The Annals of Applied Statistics 6 Scandinavian Journal of Statistics 6 Probability Theory and Related Fields 5 Biometrical Journal 5 American Journal of Mathematical and Management Sciences 4 Linear and Multilinear Algebra 4 Journal of the American Statistical Association 4 Journal of Applied Probability 4 Journal of Soviet Mathematics 4 Statistics 4 Stochastic Processes and their Applications 4 Journal of Applied Statistics 3 Artificial Intelligence 3 The Annals of Probability 3 Kybernetika 3 Statistica Neerlandica 3 Sequential Analysis 3 Econometric Reviews 3 Test 3 Mathematical Methods of Statistics 3 Statistical Papers 3 Journal of Convex Analysis 3 Journal of Nonparametric Statistics 3 Journal of the Royal Statistical Society. Series B. Statistical Methodology 3 Probability in the Engineering and Informational Sciences 3 Methodology and Computing in Applied Probability 3 Journal of Machine Learning Research (JMLR) 3 Statistical Methodology 3 Journal of Statistical Theory and Practice 2 Discrete Mathematics 2 Periodica Mathematica Hungarica 2 Journal of Mathematical Economics 2 Journal of Mathematical Psychology 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Advances in Applied Mathematics 2 Acta Mathematica Hungarica 2 Acta Mathematicae Applicatae Sinica. English Series 2 SIAM Journal on Discrete Mathematics 2 The Annals of Applied Probability 2 Aequationes Mathematicae 2 Statistische Hefte 2 Journal of Mathematical Sciences (New York) 2 Econometric Theory 2 Journal of Systems Science and Complexity 2 Statistical Modelling 2 Statistical Methods and Applications 2 Statistics Surveys 2 Sankhyā. Series A 1 Advances in Applied Probability 1 Applicable Analysis 1 Biological Cybernetics 1 Discrete Applied Mathematics 1 International Journal of General Systems 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Moscow University Mathematics Bulletin 1 Studia Mathematica 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Aplikace Matematiky 1 Applied Mathematics and Computation 1 BIT 1 Information Sciences 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Kodai Mathematical Journal 1 Mathematics of Operations Research 1 Metron 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Scandinavian Actuarial Journal 1 Statistische Hefte. Neue Folge 1 SIAM Journal on Algebraic and Discrete Methods 1 Journal of Time Series Analysis 1 Journal of Symbolic Computation 1 Algorithmica 1 International Journal of Intelligent Systems 1 Journal of Theoretical Probability ...and 44 more Serials
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#### Cited in 39 Fields

 552 Statistics (62-XX) 146 Probability theory and stochastic processes (60-XX) 74 Combinatorics (05-XX) 64 Numerical analysis (65-XX) 53 Computer science (68-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Real functions (26-XX) 14 Operations research, mathematical programming (90-XX) 12 Biology and other natural sciences (92-XX) 11 Convex and discrete geometry (52-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Nonassociative rings and algebras (17-XX) 8 Measure and integration (28-XX) 8 Functional analysis (46-XX) 6 Group theory and generalizations (20-XX) 5 Information and communication theory, circuits (94-XX) 4 History and biography (01-XX) 4 Abstract harmonic analysis (43-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Commutative algebra (13-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)

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