Donald Richards

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All published works

Action	Title	Year	Authors
+ PDF Chat	EM estimation of the B-spline copula with penalized pseudo-likelihood functions	2025	Xiaoling Dou Satoshi Kuriki Gwo Dong Lin Donald Richards
+ PDF Chat	Hyperdeterminantal Total Positivity	2024	K. Johnson Donald Richards
+	Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions	2024	Armine Bagyan Donald Richards
+	An explicit Wishart moment formula for the product of two disjoint principal minors	2024	Christian Genest Frédéric Ouimet Donald Richards
+ PDF Chat	An explicit Wishart moment formula for the product of two disjoint principal minors	2024	Christian Genest Frédéric Ouimet Donald Richards
+	On Wilks' joint moment formulas for embedded principal minors of Wishart random matrices	2024	Christian Genest Frédéric Ouimet Donald Richards
+ PDF Chat	On Wilks' joint moment formulas for embedded principal minors of Wishart random matrices	2024	Christian Genest Frédéric Ouimet Donald Richards
+ PDF Chat	Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions	2024	Armine Bagyan Donald Richards
+ PDF Chat	EM Estimation of the B-spline Copula with Penalized Log-Likelihood Function	2024	Xiaoling Dou Satoshi Kuriki Gwo Dong Lin Donald Richards
+	On the Gaussian product inequality conjecture for disjoint principal minors of Wishart random matrices	2024	Christian Genest Frédéric Ouimet Donald Richards
+ PDF Chat	A Continuous-Time Markov Chain Model for the Spread of COVID-19	2023	Armine Bagyan Donald Richards
+	Complete asymptotic expansions and the high-dimensional Bingham distributions	2023	Armine Bagyan Donald Richards
+ PDF Chat	A reflection formula for the Gaussian hypergeometric function of matrix argument	2023	Donald Richards Qifu Zheng
+ PDF Chat	Product inequalities for multivariate Gaussian, gamma, and positively upper orthant dependent distributions	2023	Dominic Edelmann Donald Richards Thomas Royen
+	Non-Steepness and Maximum Likelihood Estimation Properties of the Truncated Multivariate Normal Distributions	2023	Michael Levine Donald Richards Jianxi Su
+	Complete Asymptotic Expansions and the High-Dimensional Bingham Distributions	2023	Armine Bagyan Donald Richards
+ PDF Chat	Hoffmann-Jørgensen Inequalities for Random Walks on the Cone of Positive Definite Matrices	2022	Armine Bagyan Donald Richards
+	Product Inequalities for Multivariate Gaussian, Gamma, and Positively Upper Orthant Dependent Distributions	2022	Dominic Edelmann Donald Richards Thomas Royen
+	Hoffmann-Jørgensen Inequalities for Random Walks on the Cone of Positive Definite Matrices	2022	Armine Bagyan Donald Richards
+	A Continuous-Time Markov Chain Model for the Spread of COVID-19	2022	Armine Bagyan Donald Richards
+ PDF Chat	A Basic Treatment of the Distance Covariance	2021	Dominic Edelmann Tobias Terzer Donald Richards
+	Comments on: Tests for multivariate normality—a critical review with emphasis on weighted $$L^2$$-statistics	2020	Donald Richards
+ PDF Chat	The distance standard deviation	2020	Dominic Edelmann Donald Richards Daniel Vogel
+	Mean Shrinkage Estimation for High-Dimensional Diagonal Natural Exponential Families	2020	Nikolas Siapoutis Donald Richards Bharath K. Sriperumbudur
+ PDF Chat	Independence properties of the truncated multivariate elliptical distributions	2020	Michael Levine Donald Richards Jianxi Su
+	A Reflection Formula for the Gaussian Hypergeometric Function of Matrix Argument	2020	Donald Richards Qifu Zheng
+	Shrinkage Estimation for the Diagonal Multivariate Exponential Families	2020	Nikolas Siapoutis Donald Richards Bharath K. Sriperumbudur
+ PDF Chat	Dependence Properties of B-Spline Copulas	2019	Xiaoling Dou Satoshi Kuriki Gwo Dong Lin Donald Richards
+ PDF Chat	Integral transform methods in goodness-of-fit testing, II: the Wishart distributions	2019	Elena Hadjicosta Donald Richards
+ PDF Chat	Integral transform methods in goodness-of-fit testing, I: the gamma distributions	2019	Elena Hadjicosta Donald Richards
+ PDF Chat	Long-Term Implications of the Revenue Transfer Methodology in the Affordable Care Act	2019	Ishan Muzumdar Donald Richards
+ PDF Chat	Generalized Fréchet Bounds for Cell Entries in Multidimensional Contingency Tables	2019	Caroline Uhler Donald Richards
+ PDF Chat	The multiple roots phenomenon in maximum likelihood estimation for factor analysis	2019	Elizabeth Gross Sonja Petrović Donald Richards Despina Stasi
+	Integral Transform Methods in Goodness-of-Fit Testing, II: The Wishart Distributions	2019	Elena Hadjicosta Donald Richards
+	Loading monotonicity of weighted premiums, and total positivity properties of weight functions	2019	Donald Richards Caroline Uhler
+ PDF Chat	Statistical Implications of the Revenue Transfer Methodology in the Affordable Care Act	2019	Michelle Li Donald Richards
+	Dependence Properties of B-Spline Copulas	2019	Xiaoling Dou Satoshi Kuriki Gwo Dong Lin Donald Richards
+	Independence Properties of the Truncated Multivariate Elliptical Distributions	2019	Michael Levine Donald Richards Jianxi Su
+	Integral Transform Methods in Goodness-of-Fit Testing, II: The Wishart Distributions	2019	Elena Hadjicosta Donald Richards
+	Loading Monotonicity of Weighted Premiums, and Total Positivity Properties of Weight Functions	2018	Donald Richards Caroline Uhler
+	Constant Proportion Debt Obligations, Zeno's Paradox, and the Spectacular Financial Crisis of 2008	2018	Donald Richards Hein Hundal
+	Long-Term Implications of the Revenue Transfer Methodology in the Affordable Care Act	2018	Ishan Muzumdar Donald Richards
+ PDF Chat	Exact formulas for the normalizing constants of Wishart distributions for graphical models	2018	Caroline Uhler Alex Lenkoski Donald Richards
+	Constant Proportion Debt Obligations, Zeno's Paradox, and the Spectacular Financial Crisis of 2008	2018	Donald Richards Hein Hundal
+	Integral Transform Methods in Goodness-of-Fit Testing, I: The Gamma Distributions	2018	Elena Hadjicosta Donald Richards
+	Long-Term Implications of the Revenue Transfer Methodology in the Affordable Care Act	2018	Ishan Muzumdar Donald Richards
+	Loading Monotonicity of Weighted Premiums, and Total Positivity Properties of Weight Functions	2018	Donald Richards Caroline Uhler
+	Generalized Fr\'echet Bounds for Cell Entries in Multidimensional Contingency Tables	2017	Caroline Uhler Donald Richards
+	The Distance Standard Deviation	2017	Dominic Edelmann Donald Richards Daniel Vogel
+	The Multiple Roots Phenomenon in Maximum Likelihood Estimation for Factor Analysis	2017	Elizabeth Gross Sonja Petrović Donald Richards Despina Stasi
+	Statistical Implications of the Revenue Transfer Methodology in the Affordable Care Act	2017	Michelle Li Donald Richards
+	The Distance Standard Deviation	2017	Dominic Edelmann Donald Richards Daniel Vogel
+	The Multiple Roots Phenomenon in Maximum Likelihood Estimation for Factor Analysis	2017	Elizabeth Gross Sonja Petrović Donald Richards Despina Stasi
+	Generalized Fréchet Bounds for Cell Entries in Multidimensional Contingency Tables	2017	Caroline Uhler Donald Richards
+ PDF Chat	Maximum Likelihood Estimation for Linear Gaussian Covariance Models	2016	Piotr Zwiernik Caroline Uhler Donald Richards
+	Distance correlation coefficients for Lancaster distributions	2016	Johannes Dueck Dominic Edelmann Donald Richards
+ PDF Chat	Chi-square mixture representations for the distribution of the scalar Schur complement in a noncentral Wishart matrix	2016	Constantin Siriteanu Satoshi Kuriki Donald Richards Akimichi Takemura
+ PDF Chat	Gaussian Random Particles with Flexible Hausdorff Dimension	2015	Linda V. Hansen Thordis L. Thorarinsdottir Evgeni Y. Ovcharov Tilmann Gneiting Donald Richards
+ PDF Chat	Gaussian Random Particles with Flexible Hausdorff Dimension	2015	Linda V. Hansen Thordis L. Thorarinsdottir Evgeni Y. Ovcharov Tilmann Gneiting Donald Richards
+	Chi-Square Mixture Representations for the Distribution of the Scalar Schur Complement in a Noncentral Wishart Matrix	2015	Constantin Siriteanu Satoshi Kuriki Donald Richards Akimichi Takemura
+	Gaussian Random Particles with Flexible Hausdorff Dimension	2015	Linda V. Hansen Thordis L. Thorarinsdottir Evgeni Ovcharov Tilmann Gneiting Donald Richards
+ PDF Chat	A generalization of an integral arising in the theory of distance correlation	2014	Johannes Dueck Dominic Edelmann Donald Richards
+	A Generalization of an Integral Arising in the Theory of Distance Correlation	2014	Johannes Dueck Dominic Edelmann Donald Richards
+	The affinely invariant distance correlation	2014	Johannes Dueck Dominic Edelmann Tilmann Gneiting Donald Richards
+	Maximum Likelihood Estimation for Linear Gaussian Covariance Models	2014	Piotr Zwiernik Caroline Uhler Donald Richards
+	Exact formulas for the normalizing constants of Wishart distributions for graphical models	2014	Caroline Uhler Alex Lenkoski Donald Richards
+ PDF Chat	EM algorithms for estimating the Bernstein copula	2014	Xiaoling Dou Satoshi Kuriki Gwo Dong Lin Donald Richards
+	Exact formulas for the normalizing constants of Wishart distributions for graphical models	2014	Caroline Uhler Alex Lenkoski Donald Richards
+	Maximum Likelihood Estimation for Linear Gaussian Covariance Models	2014	Piotr Zwiernik Caroline Uhler Donald Richards
+	A Generalization of an Integral Arising in the Theory of Distance Correlation	2014	Johannes Dueck Dominic Edelmann Donald Richards
+	EM algorithms for estimating the Bernstein copula	2013	Xiaoling Dou Satoshi Kuriki Gwo Dong Lin Donald Richards
+ PDF Chat	The determinant of a hypergeometric period matrix and a generalization of Selberg's integral	2006	Donald Richards Qifu Zheng
+ PDF Chat	Convolution roots of radial positive definite functions with compact support	2004	Werner Ehm Tilmann Gneiting Donald Richards
+	Natural Exponential Families and Generalized Hypergeometric Measures	2003	I-Li Lu Donald Richards
+	Determinant formulas for multidimensional hypergeometric period matrices	2002	Donald Richards Qifu Zheng
+	Determinants of Period Matrices and an Application to Selberg's Multidimensional Beta Integral	2002	Donald Richards Qifu Zheng
+	Improved Bounds for Laue's Constant and Multivariate Extensions	2001	Ilona Dreier Werner Ehm Tilmann Gneiting Donald Richards
+	None	2001	Ilona Dreier Werner Ehm Tilmann Gneiting Donald Richards
+	An Expectation Formula for the Multivariate Dirichlet Distribution	2001	Gérard Letac Hélène Massam Donald Richards
+ PDF Chat	Experimental Approaches to Kuttner's Problem	2001	Tilmann Gneiting Kjell Kanis Donald Richards
+ PDF Chat	Ramanujan’s master theorem for symmetric cones	1996	Hongming Ding Kenneth Gross Donald Richards
+	Total positivity properties of the bivariate diagonal natural exponential families	1996	I-Li Lu Donald Richards
+	The diagonal multivariate natural exponential families and their classification	1994	Shaul K. Bar‐Lev Daoud Bshouty Peter Enis Gérard Letac I-Li Lu Donald Richards
+ PDF Chat	Random Discriminants	1993	I-Li Lu Donald Richards
+	Approximating the matrix Fisher and Bingham distributions: Applications to spherical regression and procrustes analysis	1992	C. Raymond Bingham Ted Chang Donald Richards
+	Selberg's Second Beta Integral and an Integral of Mehta	1989	Richard Askey Donald Richards
+	Metric geometry	1988	Stamatis Cambanis Donald Richards
+	An Integral on $SO(3)$ (B. E. Eichinger)	1985	Donald Richards
+	Testing optimality of experimental designs for a regression model with random variables	1985	Rameshwar D. Gupta Donald Richards
+ PDF Chat	Representations for eigenfunctions of expected value operators in the Wishart distribution	1983	Donald Richards

Common Coauthors

Coauthor	Papers Together
Caroline Uhler	12
Dominic Edelmann	11
Armine Bagyan	8
Tilmann Gneiting	8
Satoshi Kuriki	8
Xiaoling Dou	6
Gwo Dong Lin	6
Elena Hadjicosta	5
Qifu Zheng	5
Christian Genest	5
Johannes Dueck	5
Frédéric Ouimet	5
I-Li Lu	4
Thordis L. Thorarinsdottir	3
Werner Ehm	3
Michael Levine	3
Despina Stasi	3
Elizabeth Gross	3
Ishan Muzumdar	3
Jianxi Su	3
Linda V. Hansen	3
Alex Lenkoski	3
Sonja Petrović	3
Piotr Zwiernik	3
Michelle Li	2
Gérard Letac	2
Akimichi Takemura	2
Evgeni Y. Ovcharov	2
Nikolas Siapoutis	2
Constantin Siriteanu	2
Thomas Royen	2
Daniel Vogel	2
Ilona Dreier	2
Hein Hundal	2
Bharath K. Sriperumbudur	2
Kenneth Gross	1
Hélène Massam	1
C. Raymond Bingham	1
Richard Askey	1
Tobias Terzer	1
Kjell Kanis	1
Daniel Vogel	1
Stamatis Cambanis	1
Peter Enis	1
Hongming Ding	1
Evgeni Ovcharov	1
K. Johnson	1
Daoud Bshouty	1
Rameshwar D. Gupta	1
Shaul K. Bar‐Lev	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Distributions of Matrix Variates and Latent Roots Derived from Normal Samples	1964	A. T. James	14
+	Aspects of Multivariate Statistical Theory	1984	Leon Jay Gleser Robb J. Muirhead	12
+	Aspects of Multivariate Statistical Theory	1982	Robb J. Muirhead	11
+ PDF Chat	Special functions of matrix argument. I. Algebraic induction, zonal polynomials, and hypergeometric functions	1987	Kenneth I. Gross Donald St. P. Richards	8
+	Bessel Functions of Matrix Argument	1955	Carl Herz	7
+	An Introduction to Multivariate Statistical Analysis	1986	Robb J. Muirhead T. W. Anderson	7
+	Analysis on Symmetric Cones	1994	Jacques Faraut Adam Korányi	7
+	Measuring nonlinear dependence in time‐series, a distance correlation approach	2012	Zhou Zhou	6
+	The distance correlation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si38.gif" display="inline" overflow="scroll"><mml:mi>t</mml:mi></mml:math>-test of independence in high dimension	2013	Gábor J. Székely Maria L. Rizzo	5
+ PDF Chat	DISTANCE CORRELATION METHODS FOR DISCOVERING ASSOCIATIONS IN LARGE ASTROPHYSICAL DATABASES	2014	E. Martínez-Gómez Mercedes T. Richards Donald St. P. Richards	5
+ PDF Chat	Schur Complement Based Analysis of MIMO Zero-Forcing for Rician Fading	2015	Constantin Siriteanu Akimichi Takemura Satoshi Kuriki Donald St. P. Richards Hyundong Shin	5
+ PDF Chat	Brownian distance covariance	2009	Gábor J. Székely Maria L. Rizzo	5
+	Partial distance correlation with methods for dissimilarities	2014	Gábor J. Székely Maria L. Rizzo	5
+	Total positivity, spherical series, and hypergeometric functions of matrix argument	1989	Kenneth I. Gross Donald St. P. Richards	5
+	Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions	1980	Samuel Karlin Yosef Rinott	4
+ PDF Chat	Measuring and testing dependence by correlation of distances	2007	Gábor J. Székely Maria L. Rizzo Н. К. Бакиров	4
+	Dependence structure of bivariate order statistics with applications to Bayramoglu’s distributions	2012	J. S. Huang Xiaoling Dou Satoshi Kuriki Gwo Dong Lin	4
+ PDF Chat	INTERPRETING THE DISTANCE CORRELATION RESULTS FOR THE COMBO-17 SURVEY	2014	Mercedes T. Richards Donald St. P. Richards E. Martínez-Gómez	4
+	Dependence structures and asymptotic properties of Baker's distributions with fixed marginals	2013	Xiaoling Dou Satoshi Kuriki Gwo Dong Lin	4
+	The diagonal multivariate natural exponential families and their classification	1994	Shaul K. Bar‐Lev Daoud Bshouty Peter Enis Gérard Letac I-Li Lu Donald Richards	4
+ PDF Chat	Fast Computing for Distance Covariance	2015	Xiaoming Huo Gábor J. Székely	4
+ PDF Chat	Series Representations of Distributions of Quadratic Forms in Normal Variables II. Non-Central Case	1967	Samuel Kotz Norman L. Johnson David W. Boyd	4
+	Radial Positive Definite Functions Generated by Euclid's Hat	1999	Tilmann Gneiting	4
+	A second course in mathematical analysis	1970	J. C. Burkill H. Burkill	4
+	Distance covariance in metric spaces	2013	Russell Lyons	4
+	The affinely invariant distance correlation	2014	Johannes Dueck Dominic Edelmann Tilmann Gneiting Donald Richards	4
+	An order-statistics-based method for constructing multivariate distributions with fixed marginals	2008	Rose Baker	4
+	Jacobi Polynomials Associated with Selberg Integrals	1987	Kazuhiko Aomoto	4
+ PDF Chat	Orthogonal Polynomials	1971		4
+	A semiparametric estimation procedure of dependence parameters in multivariate families of distributions	1995	Christian Genest Kilani Ghoudi Louis‐Paul Rivest	3
+ PDF Chat	On Certain Distribution Problems Based on Positive Definite Quadratic Functions in Normal Vectors	1966	C. G. Khatri	3
+	Table of Integrals, Series, and Products	1980		3
+	THE BERNSTEIN COPULA AND ITS APPLICATIONS TO MODELING AND APPROXIMATIONS OF MULTIVARIATE DISTRIBUTIONS	2004	Alessio Sancetta Stephen Satchell	3
+ PDF Chat	A Condition Under Which the Pitman and Bahadur Approaches to Efficiency Coincide	1976	H. Samuel Wieand	3
+	Semiparametric estimation in copula models	2005	Hideatsu Tsukahara	3
+	Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging	2009	Ian L. Dryden Alexey Koloydenko Diwei Zhou	3
+	Multivariate Liouville distributions	1987	Rameshwar D. Gupta Donald St. P. Richards	3
+	Empirical Hankel transforms and its applications to goodness-of-fit tests	2009	Ludwig Baringhaus Fatemeh Taherizadeh	3
+	A K-S Type Test for Exponentiality Based on Empirical Hankel Transforms	2013	Ludwig Baringhaus Fatemeh Taherizadeh	3
+ PDF Chat	Covariance Hypotheses Which are Linear in Both the Covariance and the Inverse Covariance	1988	Søren Jensen	3
+	Equivalence of distance-based and RKHS-based statistics in hypothesis testing	2013	Dino Sejdinović Bharath K. Sriperumbudur Arthur Gretton Kenji Fukumizu	3
+	THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. I	1990	Alexander Varchenko	3
+ PDF Chat	One dimensional perturbations of compact operators	1973	Harry Hochstadt	3
+	A note on the maximum correlation for Baker’s bivariate distributions with fixed marginals	2010	Gwo Dong Lin J. S. Huang	3
+ PDF Chat	EM algorithms for estimating the Bernstein copula	2014	Xiaoling Dou Satoshi Kuriki Gwo Dong Lin Donald Richards	3
+	On the uniqueness of distance covariance	2012	Gábor J. Székely Maria L. Rizzo	3
+	Some Limit Theorems in Statistics	1971	R. R. Bahadur	3
+	Linear B-spline copulas with applications to nonparametric estimation of copulas	2008	Xiaojing Shen Yunmin Zhu Lixin Song	3
+ PDF Chat	Stochastic Comparison of Tests	1960	R. R. Bahadur	3
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	3