D. Richards

发表

Positivity of integrals of Bessel functions

J. Misiewicz, D. Richards, 1994 .

Maximum likelihood estimation for linear Gaussian covariance models

Caroline Uhler, Piotr Zwiernik, D. Richards, 2014, 1408.5604.

Integral transform methods in goodness-of-fit testing, II: the Wishart distributions

D. Richards, Elena Hadjicosta, 2019, Annals of the Institute of Statistical Mathematics.

Convolution roots of radial positive definite functions with compact support

Tilmann Gneiting, Donald St. P. Richards, Werner Ehm, 2004 .

The affinely invariant distance correlation

J. Dueck, T. Gneiting, D. Richards, 2012, 1210.2482.

Robustness and monotonicity properties of generalized correlation coefficients

Vivian Yi-Ju Chen, D. Richards, V. Chinchilli, 2011 .

The History of the Dirichlet and Liouville Distributions

Rameshwar D. Gupta, D. Richards, 2001 .

DISTANCE CORRELATION METHODS FOR DISCOVERING ASSOCIATIONS IN LARGE ASTROPHYSICAL DATABASES

D. Richards, M. Richards, E. Martínez-Gómez, 2013, 1308.3925.

Gaussian Random Particles with Flexible Hausdorff Dimension

Tilmann Gneiting, Thordis L. Thorarinsdottir, Donald Richards, 2015, Advances in Applied Probability.

Special functions of matrix argument. I. Algebraic induction, zonal polynomials, and hypergeometric functions

Donald St. P. Richards, Kenneth I. Gross, D. Richards, 1987 .

Exponential distributions on partially ordered Abelian semigroups

D. Richards, 1981 .

The St. Petersburg Paradox and the Crash of High-Tech Stocks in 2000

G. Székely, D. Richards, 2004 .

Structural Properties of the Generalized Dirichlet Distributions

Wan-Ying Chang, Donald St. P. Richards, Rameshwar D. Gupta, 2009 .

Exact Misclassification Probabilities for Plug-In Normal Quadratic Discriminant Functions. I. The Equal-Means Case

Donald St. P. Richards, D. Richards, H. Mcfarland, 2001 .

University of Aberdeen The Distance Standard Deviation

D. Vogel, D. Richards, 2017 .

Exact formulas for the normalizing constants of Wishart distributions for graphical models

Caroline Uhler, Alex Lenkoski, Donald Richards, 2014, 1406.4901.

Algebraic methods toward higher-order probability inequalities, II

D. Richards, 2004, math/0410155.

Finite-sample inference with monotone incomplete multivariate normal data, III: Hotelling’s T2-statistic

Megan M. Romer, D. Richards, 2013 .

Exact Inference with Monotone Incomplete Multivariate Normal Data

D. Richards, Wan-Ying Chang, 2007 .

Mean Shrinkage Estimation for High-Dimensional Diagonal Natural Exponential Families.

Bharath K. Sriperumbudur, D. Richards, Nikolas Siapoutis, 2020 .

The distance standard deviation

D. Vogel, D. Richards, D. Edelmann, 2017, The Annals of Statistics.

Product Inequalities for Multivariate Gaussian, Gamma, and Positively Upper Orthant Dependent Distributions

T. Royen, D. Richards, D. Edelmann, 2022, 2204.06220.

Log-convexity properties of Schur functions and generalized hypergeometric functions of matrix argument

D. Richards, 2010 .

Integral transform methods in goodness-of-fit testing, I: the gamma distributions

D. Richards, Elena Hadjicosta, 2018, Metrika.

Independence properties of the truncated multivariate elliptical distributions

M. Levine, D. Richards, Jianxi Su, 2019, Statistics & Probability Letters.

A Generalization of an Integral Arising in the Theory of Distance Correlation

J. Dueck, D. Richards, D. Edelmann, 2014, 1411.1312.

Dependence Properties of B-Spline Copulas

G. D. Lin, D. Richards, S. Kuriki, 2019, Sankhya A.

Random Walks as Motivational Material in Introductory Statistics and Probability Courses

D. Richards, L. Fisher, 2004 .

Hoffmann-Jørgensen Inequalities for Random Walks on the Cone of Positive Definite Matrices

D. Richards, Armine Bagyan, 2022, Journal of Theoretical Probability.

Algebraic methods toward higher-order probability inequalities, II

D. Richards, 2004, math/0410155.

Shrinkage Estimation for the Diagonal Multivariate Exponential Families

Bharath K. Sriperumbudur, D. Richards, Nikolas Siapoutis, 2020, 2010.08071.

Hoffmann-J{\o}rgensen Inequalities for Random Walks on the Cone of Positive Definite Matrices

D. Richards, Armine Bagyan, 2022, 2206.10138.

Long-Term Implications of the Revenue Transfer Methodology in the Affordable Care Act

D. Richards, Ishan Muzumdar, 2018, North American Actuarial Journal.

New classes of probability inequalities for some classical distributions

D. Richards, 1996 .

Diffusion Tensor Imaging and Deconvolution on Spaces of Positive Definite Symmetric Matrices

P. Kim, D. Richards, 2008 .

The Multiple Roots Phenomenon in Maximum Likelihood Estimation for Factor Analysis

D. Richards, S. Petrovi'c, Elizabeth Gross, 2017, 1702.04477.

Loading monotonicity of weighted premiums, and total positivity properties of weight functions

Caroline Uhler, D. Richards, 2018, Journal of Mathematical Analysis and Applications.

Exact Misclassification Probabilities for Plug-In Normal Quadratic Discriminant Functions

Donald St. P. Richards, D. Richards, H. Mcfarland, 2002 .

Testing optimality of experimental designs for a regression model with random variables

Rameshwar D. Gupta, D. Richards, 1985 .

The diagonal multivariate natural exponential families and their classification

Gérard Letac, Shaul K. Bar-Lev, I-Li Lu, 1994 .

Counting and locating the solutions of polynomial systems of maximum likelihood equations, I

Donald St. P. Richards, Max-Louis G. Buot, Max Buot, 2006, J. Symb. Comput..

Generalized Fréchet Bounds for Cell Entries in Multidimensional Contingency Tables

Caroline Uhler, D. Richards, 2017, Journal of Algebraic Statistics.

Minimax estimation for mixtures of Wishart distributions

L. R. Haff, P. Kim, D. Richards, 2011, 1203.3342.

Approximating the matrix Fisher and Bingham distributions: applications to spherical regression and Procrustes analysis

Donald St. P. Richards, Christopher Bingham, Ted Chang, 1992 .

Total Positivity Properties of Generalized Hypergeometric Functions of Matrix Argument

Donald St. P. Richards, D. Richards, 2004 .

Entropy inequalities for some multivariate distributions

S. Peddada, D. Richards, 1991 .

High-Dimensional Random Matrices from the Classical Matrix Groups, and Generalized Hypergeometric Functions of Matrix Argument

Donald St. P. Richards, D. Richards, 2011, Symmetry.

Hypergeometric Functions of Scalar Matrix Argument are Expressible in Terms of Classical Hypergeometric Functions

Donald St. P. Richards, Rameshwar D. Gupta, D. Richards, 1985 .

DECONVOLUTION DENSITY ESTIMATION ON SPACES OF POSITIVE DEFINITE SYMMETRIC MATRICES By

Peter T. Kim, Donald St. P. Richards, P. Kim, 2008 .

Multivariate Liouville distributions, III

Donald St. P. Richards, Rameshwar D. Gupta, D. Richards, 1987 .

Distance correlation coefficients for Lancaster distributions

Dominic Edelmann, Donald Richards, Johannes Dueck, 2015, J. Multivar. Anal..

The Stein phenomenon for monotone incomplete multivariate normal data

Tomoya Yamada, Donald St. P. Richards, D. Richards, 2010, J. Multivar. Anal..

Maximum likelihood estimation of the mean of a multivariate normal population with monotone incomplete data

Megan M. Romer, D. Richards, 2010 .

Finite-sample inference with monotone incomplete multivariate normal data, I

Wan-Ying Chang, Donald St. P. Richards, D. Richards, 2009, J. Multivar. Anal..

Exact asymptotics for some probability distributions on compact manifolds

D. Richards, 1995 .

Invariance properties of some classical tests for exponentiality

Rameshwar D. Gupta, D. Richards, 1997 .

Radix expansions and the uniform distribution

Rameshwar D. Gupta, D. Richards, 2000 .

Complete asymptotic expansions and the high-dimensional Bingham distributions

D. Richards, Armine Bagyan, 2023, TEST.

A Reflection Formula for the Gaussian Hypergeometric Function of Matrix Argument

D. Richards, Qifu Zheng, 2020, 2002.05248.

Chi-Square Mixture Representations for the Distribution of the Scalar Schur Complement in a Noncentral Wishart Matrix

Akimichi Takemura, Constantin Siriteanu, Satoshi Kuriki, 2015, 1512.08159.

Schur Complement Based Analysis of MIMO Zero-Forcing for Rician Fading

Hyundong Shin, Akimichi Takemura, Constantin Siriteanu, 2014, IEEE Transactions on Wireless Communications.

MacMahon's Master Theorem, Representation Theory, and Moments of Wishart Distributions

Donald St. P. Richards, I-Li Lu, D. Richards, 2001, Adv. Appl. Math..

Hypergeometric functions on complex matrix space

Donald St. P. Richards, Kenneth I. Gross, D. Richards, 1991 .

Totally positive kernels, pólya frequency functions, and generalized hypergeometric series

Donald St. P. Richards, D. Richards, 1990 .

Compact group actions, spherical Bessel functions, and invariant random variables

D. Richards, K. I. Gross, 1987 .

APPLICATIONS OF INVARIANT DIFFERENTIAL OPERATORS TO MULTIVARIATE DISTRIBUTION THEORY

D. Richards, 1985 .

Representations for eigenfunctions of expected value operators in the Wishart distribution

D. Richards, 1983 .

Differential operators associated with zonal polynomials. I

D. Richards, 1982 .

Calculation of zonal polynomials of 3×3 positive definite symmetric matrices

Rameshwar D. Gupta, D. Richards, 1979 .

REPRESENfATIrnS FOR EIGENFUNCfIrnS OF EXPECfED VALUE OPERATORS IN ' !

D. Richards, Wishart DISTRIBUfION, 2008 .

Constant term identities and hypergeometric functions on spaces of Hermitian matrices

Donald St. P. Richards, Kenneth I. Gross, D. Richards, 1993 .

Analogs and Extensions of Selberg’s Integral

Donald St. P. Richards, D. Richards, 1989 .

Selberg's Second Beta Integral and an Integral of Mehta

Richard Askey, Donald St. P. Richards, R. Askey, 1989 .

Evaluation of cumulative probabilities for Wishart and multivariate beta matrices and their latent roots.

Rameshwar D. Gupta, D. Richards, 1982 .

Constant Regression Polynomials and the Wishart Distribution 1 ,2

D. Richards, 2022 .

Natural Exponential Families and Generalized Hypergeometric Measures

D. Richards, I. Lu, 2003 .

The Dirichlet distributions and polynomial regression

Donald St. P. Richards, Rameshwar D. Gupta, D. Richards, 1990 .

Statistical Analysis of 5 Year Continuous Radio Flare Data from β Persei, V711 Tauri, δ Librae, and UX Arietis

F. Ghigo, D. Richards, M. Richards, 2003 .

Non-Steepness and Maximum Likelihood Estimation Properties of the Truncated Multivariate Normal Distributions

M. Levine, D. Richards, Jianxi Su, 2023, 2303.10287.

Hypergeometric functions on domains of positivity, Jack polynomials, and applications : proceedings of an AMS special session held March 22-23, 1991 in Tampa, Florida

Donald St. P. Richards, D. Richards, 1992 .

Response: Remain Steadfast With the St. Petersburg Paradox to Quantify Irrational Exuberance

G. Székely, D. Richards, 2005 .

Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading

Hyundong Shin, Akimichi Takemura, Christoph Koutschan, 2015, IEEE Transactions on Wireless Communications.

A Basic Treatment of the Distance Covariance

Donald St. P. Richards, Dominic Edelmann, Tobias Terzer, 2021, Sankhya B.

Improved Bounds for Laue's Constant and Multivariate Extensions

T. Gneiting, W. Ehm, D. Richards, 2001 .

Stability theorems for some characterizations of the exponential distribution

D. Richards, 1981 .

EM algorithms for estimating the Bernstein copula

Donald St. P. Richards, Satoshi Kuriki, Xiaoling Dou, 2013, Comput. Stat. Data Anal..

Series Expansion for a Hypergeometric Function of Matrix Argument with Applications

Rameshwar D. Gupta, D. Richards, 1982 .

An Expectation Formula for the Multivariate Dirichlet Distribution

H. Massam, G. Letac, D. Richards, 2001 .

Positive definite symmetric functions on finite dimensional spaces. I. Applications of the Radon transform

D. Richards, 1986 .

Constant Proportion Debt Obligations, Zeno's Paradox, and the Spectacular Financial Crisis of 2008

Hein Hundal, D. Richards, 2018, 1804.00764.

Moment Properties of the Multivariate Dirichlet Distributions

Rameshwar D. Gupta, D. Richards, 2002 .

Long-term Variability in the Length of the Solar Cycle

D. Richards, M. Richards, M. Rogers, 2006, astro-ph/0606426.

Distance Correlation: A New Tool for Detecting Association and Measuring Correlation Between Data Sets

D. Richards, 2017, 1709.06400.

Comments on: Tests for multivariate normality—a critical review with emphasis on weighted $$L^2$$-statistics

D. Richards, 2020, TEST.

Kurtosis tests for multivariate normality with monotone incomplete data

Megan M. Romer, D. Richards, Tomoya Yamada, 2014, 1411.7060.

Finite-sample inference with monotone incomplete multivariate normal data, II

Wan-Ying Chang, Donald St. P. Richards, D. Richards, 2010, J. Multivar. Anal..

Proof of a conjecture of M. L. Eaton on the characteristic function of the Wishart distribution

Shyamal D. Peddada, Donald St. P. Richards, S. Peddada, 1991 .

The St. Petersburg Paradox and the Crash of High-Tech Stocks in 2000@@@Discussion: Moving Beyond the St. Petersburg Paradox to Understand Growth Stock Valuation@@@Response: Remain Steadfast with the St. Petersburg Paradox to Quantify Irrational Exuberance

G. Székely, D. Richards, T. Short, 2006 .

Distribution of Schur Complement in Noncentral Wishart Matrix with Application to MIMO Zero-Forcing for Rician Fading pdf

Hyundong Shin, Akimichi Takemura, Constantin Siriteanu, 2014, arXiv.org.