Donald Richards
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Most Influential Person Now
Jamaican statistician
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Donald Richards mathematics Degrees
Mathematics
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Statistics
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Mathematics
Donald Richards 's Degrees
- Bachelors Statistics University of the West Indies
- Masters Statistics University of the West Indies
- PhD Statistics University of the West Indies
Why Is Donald Richards Influential?
(Suggest an Edit or Addition)According to Wikipedia, Donald St. P. Richards is an American statistician conducting research on multivariate statistics, zonal polynomials, distance correlation, total positivity, and hypergeometric functions of matrix argument. He currently serves as a distinguished professor of statistics at the Pennsylvania State University, and is a Fellow of the Institute of Mathematical Statistics and a Fellow of the American Mathematical Society.
Donald Richards 's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Special functions of matrix argument. I. Algebraic induction, zonal polynomials, and hypergeometric functions (1987) (144)
- Multivariate Liouville distributions, III (1987) (91)
- Convolution roots of radial positive definite functions with compact support (2004) (60)
- The diagonal multivariate natural exponential families and their classification (1994) (60)
- Maximum likelihood estimation for linear Gaussian covariance models (2014) (55)
- The History of the Dirichlet and Liouville Distributions (2001) (49)
- Finite-sample inference with monotone incomplete multivariate normal data, I (2009) (42)
- Exact formulas for the normalizing constants of Wishart distributions for graphical models (2014) (40)
- Long-term Variability in the Length of the Solar Cycle (2006) (40)
- The affinely invariant distance correlation (2012) (40)
- Statistical Analysis of 5 Year Continuous Radio Flare Data from β Persei, V711 Tauri, δ Librae, and UX Arietis (2003) (39)
- Approximating the matrix Fisher and Bingham distributions: applications to spherical regression and Procrustes analysis (1992) (38)
- Counting and locating the solutions of polynomial systems of maximum likelihood equations, I (2006) (36)
- DISTANCE CORRELATION METHODS FOR DISCOVERING ASSOCIATIONS IN LARGE ASTROPHYSICAL DATABASES (2013) (35)
- APPLICATIONS OF INVARIANT DIFFERENTIAL OPERATORS TO MULTIVARIATE DISTRIBUTION THEORY (1985) (29)
- Proof of a conjecture of M. L. Eaton on the characteristic function of the Wishart distribution (1991) (29)
- High-Dimensional Random Matrices from the Classical Matrix Groups, and Generalized Hypergeometric Functions of Matrix Argument (2011) (28)
- Minimax estimation for mixtures of Wishart distributions (2011) (25)
- The St. Petersburg Paradox and the Crash of High-Tech Stocks in 2000 (2004) (25)
- Gaussian Random Particles with Flexible Hausdorff Dimension (2015) (23)
- Positive definite symmetric functions on finite dimensional spaces. I. Applications of the Radon transform (1986) (22)
- Ramanujan’s master theorem for symmetric cones (1996) (21)
- Exact Misclassification Probabilities for Plug-In Normal Quadratic Discriminant Functions (2002) (21)
- The central limit theorem on spaces of positive definite matrices (1989) (21)
- Positive definite symmetric functions on finite-dimensional spaces II (1985) (20)
- MacMahon's Master Theorem, Representation Theory, and Moments of Wishart Distributions (2001) (20)
- Schur Complement Based Analysis of MIMO Zero-Forcing for Rician Fading (2014) (19)
- Totally positive kernels, pólya frequency functions, and generalized hypergeometric series (1990) (18)
- EM algorithms for estimating the Bernstein copula (2013) (18)
- Hypergeometric functions on complex matrix space (1991) (18)
- Positivity of integrals of Bessel functions (1994) (17)
- Invariance properties of some classical tests for exponentiality (1997) (17)
- Finite-sample inference with monotone incomplete multivariate normal data, II (2010) (17)
- Hypergeometric Functions of Scalar Matrix Argument are Expressible in Terms of Classical Hypergeometric Functions (1985) (17)
- Exact Misclassification Probabilities for Plug-In Normal Quadratic Discriminant Functions. I. The Equal-Means Case (2001) (15)
- Determinants of Period Matrices and an Application to Selberg's Multidimensional Beta Integral (2002) (14)
- Hypergeometric functions on domains of positivity, Jack polynomials, and applications : proceedings of an AMS special session held March 22-23, 1991 in Tampa, Florida (1992) (14)
- Distance correlation coefficients for Lancaster distributions (2015) (13)
- Algebraic methods toward higher-order probability inequalities, II (2004) (13)
- Analogs and Extensions of Selberg’s Integral (1989) (13)
- INTERPRETING THE DISTANCE CORRELATION RESULTS FOR THE COMBO-17 SURVEY (2014) (13)
- Kurtosis tests for multivariate normality with monotone incomplete data (2014) (12)
- Structural Properties of the Generalized Dirichlet Distributions (2009) (11)
- DECONVOLUTION DENSITY ESTIMATION ON SPACES OF POSITIVE DEFINITE SYMMETRIC MATRICES By (2008) (11)
- Selberg's Second Beta Integral and an Integral of Mehta (1989) (11)
- A Generalization of an Integral Arising in the Theory of Distance Correlation (2014) (11)
- The distance standard deviation (2017) (11)
- An Expectation Formula for the Multivariate Dirichlet Distribution (2001) (11)
- Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading (2015) (10)
- Finite-sample inference with monotone incomplete multivariate normal data, III: Hotelling’s T2-statistic (2013) (10)
- Product inequalities for multivariate Gaussian, gamma, and positively upper orthant dependent distributions (2022) (9)
- Differential operators associated with zonal polynomials. I (1982) (8)
- The Stein phenomenon for monotone incomplete multivariate normal data (2010) (8)
- Constant term identities and hypergeometric functions on spaces of Hermitian matrices (1993) (7)
- Response: Remain Steadfast With the St. Petersburg Paradox to Quantify Irrational Exuberance (2005) (7)
- Integral transform methods in goodness-of-fit testing, I: the gamma distributions (2018) (7)
- Maximum likelihood estimation of the mean of a multivariate normal population with monotone incomplete data (2010) (7)
- The Dirichlet distributions and polynomial regression (1990) (7)
- The N-Widths of Spaces of Holomorphic Functions on Bounded Symmetric Domains of Tube Type (2000) (7)
- Evaluation of cumulative probabilities for Wishart and multivariate beta matrices and their latent roots. (1982) (6)
- Distance Correlation: A New Tool for Detecting Association and Measuring Correlation Between Data Sets (2017) (6)
- 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 (2006) (6)
- Total Positivity, Finite Reflection Groups, and a Formula of Harish-Chandra (1995) (6)
- Integral transform methods in goodness-of-fit testing, II: the Wishart distributions (2019) (6)
- Chi-Square Mixture Representations for the Distribution of the Scalar Schur Complement in a Noncentral Wishart Matrix (2015) (5)
- An Integral on $SO(3)$ (B. E. Eichinger) (1985) (5)
- Calculation of zonal polynomials of 3×3 positive definite symmetric matrices (1979) (5)
- Total Positivity Properties of Generalized Hypergeometric Functions of Matrix Argument (2004) (5)
- Log-convexity properties of Schur functions and generalized hypergeometric functions of matrix argument (2010) (4)
- Experimental Approaches to Kuttner's Problem (2001) (4)
- Diffusion Tensor Imaging and Deconvolution on Spaces of Positive Definite Symmetric Matrices (2008) (4)
- Series Expansion for a Hypergeometric Function of Matrix Argument with Applications (1982) (4)
- The determinant of a hypergeometric period matrix and a generalization of Selberg's integral (2007) (4)
- Improved Bounds for Laue's Constant and Multivariate Extensions (2001) (4)
- Testing optimality of experimental designs for a regression model with random variables (1985) (4)
- R.A.P.I.D. (Root Aggregated Prioritized Information Display): A single screen display for efficient digital triaging of medical reports (2016) (3)
- Differential operators associated with zonal polynomials. II (1982) (3)
- Total positivity properties of the bivariate diagonal natural exponential families (1996) (3)
- Moment Properties of the Multivariate Dirichlet Distributions (2002) (3)
- Entropy inequalities for some multivariate distributions (1991) (3)
- Functions of matrix argument (2010) (2)
- Representation Theory and Harmonic Analysis (1995) (2)
- Random Walks as Motivational Material in Introductory Statistics and Probability Courses (2004) (2)
- Exact asymptotics for some probability distributions on compact manifolds (1995) (2)
- Exponential distributions on partially ordered Abelian semigroups (1981) (2)
- Algebraic methods in statistics and probability : AMS special session on Algebraic Methods in Statistics, April 8-9, 2000, University of Notre Dame, Notre Dame, Indiana (2001) (2)
- A Basic Treatment of the Distance Covariance (2021) (2)
- Representations for eigenfunctions of expected value operators in the Wishart distribution (1983) (2)
- Dependence Properties of B-Spline Copulas (2019) (1)
- Independence properties of the truncated multivariate elliptical distributions (2019) (1)
- Acknowledgment of Priority: Proof of a Conjecture of M. L. Eaton on the Characteristic Function of the Wishart Distribution (1992) (1)
- Constant regression polynomials and the wishart distribution (1989) (1)
- Constant Proportion Debt Obligations, Zeno's Paradox, and the Spectacular Financial Crisis of 2008 (2018) (1)
- Nonparametric statistics and mixture models : a festschrift in honor of Thomas P Hettmansperger : the Pennsylvania State University, USA, 23-24 May 2008 (2011) (1)
- Kurtosis tests for multivariate normality with monotone incomplete data (2014) (1)
- A Characterization of a Matric-Variate Exponential Distribution (1981) (1)
- New classes of probability inequalities for some classical distributions (1996) (1)
- Determinant formulas for multidimensional hypergeometric period matrices (2002) (1)
- Natural Exponential Families and Generalized Hypergeometric Measures (2003) (1)
- Loading monotonicity of weighted premiums, and total positivity properties of weight functions (2018) (1)
- A Reflection Formula for the Gaussian Hypergeometric Function of Matrix Argument (2020) (1)
- Compact group actions, spherical Bessel functions, and invariant random variables (1987) (1)
- Genetic algorithms and maximum likelihood estimation (2003) (1)
- Statistical Implications of the Revenue Transfer Methodology in the Affordable Care Act (2017) (1)
- Robustness and monotonicity properties of generalized correlation coefficients (2011) (1)
- Exact Inference with Monotone Incomplete Multivariate Normal Data (2007) (0)
- University of Aberdeen The Distance Standard Deviation (2017) (0)
- Hoffmann-J{\o}rgensen Inequalities for Random Walks on the Cone of Positive Definite Matrices (2022) (0)
- Hoffmann-Jørgensen Inequalities for Random Walks on the Cone of Positive Definite Matrices (2022) (0)
- Exact distributions of a class of likelihood ratio test statistics (2008) (0)
- The Multiple Roots Phenomenon in Maximum Likelihood Estimation for Factor Analysis (2017) (0)
- Integrals of Characteristic Polynomials of Unitary Matrices , and Applications to the Riemann Zeta Function (2010) (0)
- Constant Regression Polynomials and the Wishart Distribution 1 ,2 (0)
- A Probabilistic Analysis of Autocallable Optimization Securities (2013) (0)
- Complete Asymptotic Expansions and the High-Dimensional Bingham Distributions (2023) (0)
- Supplementary Material for “ Integral Transform Methods in Goodness-ofFit Testing , II : The Wishart Distributions ” (2019) (0)
- Comments on: Tests for multivariate normality—a critical review with emphasis on weighted $$L^2$$-statistics (2020) (0)
- Letter Values in Multivariate Exploratory Data Analysis (1986) (0)
- Return Optimization Securities and Other Remarkable Structured Investment Products: Indicators of Future Outcomes for U.S. Treasuries? (2018) (0)
- Representation Theory and Harmonic Analysis: A Conference in Honor of Ray A. Kunze, January 12-14, 1994, Cincinnati, Ohio (1995) (0)
- Statistical Models for Globular Cluster Luminosity Distribution (2011) (0)
- REPRESENfATIrnS FOR EIGENFUNCfIrnS OF EXPECfED VALUE OPERATORS IN ' ! (2008) (0)
- Shrinkage Estimation for the Diagonal Multivariate Exponential Families (2020) (0)
- Alice Silverberg Through the Cryptographer ’ s Looking-Glass , and What Alice Found (2016) (0)
- Radix expansions and the uniform distribution (2000) (0)
- Generalized Fréchet Bounds for Cell Entries in Multidimensional Contingency Tables (2017) (0)
- Long-Term Implications of the Revenue Transfer Methodology in the Affordable Care Act (2018) (0)
- Mean Shrinkage Estimation for High-Dimensional Diagonal Natural Exponential Families. (2020) (0)
- Interpreting the Distance Correlation COMBO-17 Results (2014) (0)
- Distribution of Schur Complement in Noncentral Wishart Matrix with Application to MIMO Zero-Forcing for Rician Fading (2014) (0)
- Non-Steepness and Maximum Likelihood Estimation Properties of the Truncated Multivariate Normal Distributions (2023) (0)
- Multi‐wavelength Data Analysis of ONC X‐ray Sources (2010) (0)
- Stability theorems for some characterizations of the exponential distribution (1981) (0)
- Periodicities of Radio Flares in RS CVn and Algol Binaries (2004) (0)
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