Donald Richards

    • 846 Citations
    • 15 h-Index
    1979 …2019
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    Research Output 1979 2019

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    2019

    Dependence Properties of B-Spline Copulas

    Dou, X., Kuriki, S., Lin, G. D. & Richards, D., Jan 1 2019, (Accepted/In press) In : Sankhya A.

    Research output: Contribution to journalArticle

    B-spline Function
    Copula
    B-spline
    Total Positivity
    Stirling numbers of the second kind

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

    Hadjicosta, E. & Richards, D., Jan 1 2019, (Accepted/In press) In : Metrika.

    Research output: Contribution to journalArticle

    Gamma distribution
    Integral Transform
    Goodness of fit
    Test Statistic
    Testing

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

    Hadjicosta, E. & Richards, D., Jan 1 2019, (Accepted/In press) In : Annals of the Institute of Statistical Mathematics.

    Research output: Contribution to journalArticle

    Wishart Distribution
    Integral Transform
    Goodness of fit
    Test Statistic
    Positive definite matrix

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

    Richards, D. & Uhler, C., Jul 1 2019, In : Journal of Mathematical Analysis and Applications. 475, 1, p. 532-553 22 p.

    Research output: Contribution to journalArticle

    Total Positivity
    Weight Function
    Monotonicity
    Insurance
    Higher Order

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

    Muzumdar, I. & Richards, D., Oct 2 2019, In : North American Actuarial Journal. 23, 4, p. 591-597 7 p.

    Research output: Contribution to journalArticle

    Methodology
    Insurance
    Conditional probability
    Revenue
    Limiting
    1 Citation (Scopus)

    Statistical Implications of the Revenue Transfer Methodology in the Affordable Care Act

    Li, M. & Richards, D., Jan 2 2019, In : North American Actuarial Journal. 23, 1, p. 27-32 6 p.

    Research output: Contribution to journalArticle

    Methodology
    Insurance
    Random variable
    Zero-sum
    Revenue
    2018
    6 Citations (Scopus)

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

    Uhler, C., Lenkoski, A. & Richards, D., Feb 2018, In : Annals of Statistics. 46, 1, p. 90-118 29 p.

    Research output: Contribution to journalArticle

    Normalizing Constant
    Wishart Distribution
    Graphical Models
    Graph in graph theory
    Conjugate prior
    2017
    3 Citations (Scopus)

    Distance correlation coefficients for Lancaster distributions

    Dueck, J., Edelmann, D. & Richards, D., Feb 1 2017, In : Journal of Multivariate Analysis. 154, p. 19-39 21 p.

    Research output: Contribution to journalArticle

    Normal distribution
    Correlation coefficient
    Series Representation
    Bivariate Normal Distribution
    Negative binomial distribution
    6 Citations (Scopus)

    Maximum likelihood estimation for linear Gaussian covariance models

    Zwiernik, P., Uhler, C. & Richards, D., Sep 2017, In : Journal of the Royal Statistical Society. Series B: Statistical Methodology. 79, 4, p. 1269-1292 24 p.

    Research output: Contribution to journalArticle

    Maximum Likelihood Estimation
    Large Sample Theory
    Optimization Problem
    Wishart Distribution
    Hill Climbing
    2016
    5 Citations (Scopus)

    Chi-square mixture representations for the distribution of the scalar Schur complement in a noncentral Wishart matrix

    Siriteanu, C., Kuriki, S., Richards, D. & Takemura, A., Aug 1 2016, In : Statistics and Probability Letters. 115, p. 79-87 9 p.

    Research output: Contribution to journalArticle

    Wishart Matrix
    Schur Complement
    Chi-square
    Scalar
    Chi-square Distribution
    7 Citations (Scopus)

    EM algorithms for estimating the Bernstein copula

    Dou, X., Kuriki, S., Lin, G. D. & Richards, D., Jan 1 2016, In : Computational Statistics and Data Analysis. 93, p. 228-245 18 p.

    Research output: Contribution to journalArticle

    Expectation-maximization Algorithm
    Copula
    Finite Mixture Distribution
    Local Properties
    Local Convergence
    8 Citations (Scopus)

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

    Siriteanu, C., Takemura, A., Koutschan, C., Kuriki, S., Richards, D. S. P. & Shin, H., Aug 2016, In : IEEE Transactions on Wireless Communications. 15, 8, p. 5245-5259 15 p., 7456329.

    Research output: Contribution to journalArticle

    Rician Fading
    Zero-forcing
    Gradient methods
    Computer Algebra
    Infinite series
    1 Citation (Scopus)

    R.A.P.I.D. (Root Aggregated Prioritized Information Display): A single screen display for efficient digital triaging of medical reports

    Ford, J. P., Huang, L., Richards, D. P., Ambinder, E. P. & Rosenberger, J. L., Jun 1 2016, In : Journal of Biomedical Informatics. 61, p. 214-223 10 p.

    Research output: Contribution to journalArticle

    Data Display
    Display devices
    Workflow
    Orchards
    Triage
    2015
    3 Citations (Scopus)

    A generalization of an integral arising in the theory of distance correlation

    Dueck, J., Edelmann, D. & Richards, D., Feb 1 2015, In : Statistics and Probability Letters. 97, p. 116-119 4 p.

    Research output: Contribution to journalArticle

    Random variable
    Statistics
    Generalise
    Generalization
    Concepts
    4 Citations (Scopus)

    Gaussian random particles with flexible Hausdorff dimension

    Hansen, L. V., Thorarinsdottir, T. L., Ovcharov, E., Gneiting, T. & Richards, D., Jun 1 2015, In : Advances in Applied Probability. 47, 2, p. 307-327 21 p.

    Research output: Contribution to journalArticle

    Hausdorff Dimension
    Random Field
    Correlation Function
    Star-shaped Set
    kernel
    5 Citations (Scopus)

    Kurtosis tests for multivariate normality with monotone incomplete data

    Yamada, T., Romer, M. M. & Richards, D., Sep 10 2015, In : Test. 24, 3, p. 532-557 26 p.

    Research output: Contribution to journalArticle

    Multivariate Normality
    Incomplete Data
    Kurtosis
    Monotone
    Statistic
    10 Citations (Scopus)

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

    Siriteanu, C., Takemura, A., Kuriki, S., Richards, D. S. P. & Shin, H., Apr 1 2015, In : IEEE Transactions on Wireless Communications. 14, 4, p. 1757-1771 15 p., 6960107.

    Research output: Contribution to journalArticle

    Rician Fading
    Zero-forcing
    Schur Complement
    Multiple-input multiple-output (MIMO)
    Signal to noise ratio
    2014
    17 Citations (Scopus)

    Distance correlation methods for discovering associations in large astrophysical databases

    Martínez-Gómez, E., Richards, M. T. & Richards, D. S. P., Jan 20 2014, In : Astrophysical Journal. 781, 1, 39.

    Research output: Contribution to journalArticle

    astrophysics
    correlation coefficients
    coefficients
    galaxies
    galactic evolution
    4 Citations (Scopus)

    Interpreting the distance correlation results for the combo-17 survey

    Richards, M. T., Richards, D. S. P. & Martínez-Gómez, E., Apr 1 2014, In : Astrophysical Journal Letters. 784, 2, L34.

    Research output: Contribution to journalArticle

    correlation coefficients
    galaxies
    outlier
    astrophysics
    plots
    12 Citations (Scopus)

    The affinely invariant distance correlation

    Dueck, J., Edelmann, D., Gneiting, T. & Richards, D., Nov 1 2014, In : Bernoulli. 20, 4, p. 2305-2330 26 p.

    Research output: Contribution to journalArticle

    Invariant
    Measures of Dependence
    Canonical Correlation
    Wind Energy
    Distance Function
    2013
    2 Citations (Scopus)

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

    Romer, M. M. & Richards, D., Oct 1 2013, In : Statistical Modelling. 13, 5-6, p. 431-457 27 p.

    Research output: Contribution to journalArticle

    Hotelling's T2
    Multivariate Normal
    Stochastic Representation
    Statistic
    Monotone
    2011
    7 Citations (Scopus)
    Generalized Hypergeometric Function
    hypergeometric functions
    Matrix Groups
    Classical Groups
    Random Matrices
    6 Citations (Scopus)

    Minimax estimation for mixtures of wishart distributions

    Haff, L. R., Kim, P. T., Koo, J. Y. & St. P. Richards, D., Dec 2011, In : Annals of Statistics. 39, 6, p. 3417-3440 24 p.

    Research output: Contribution to journalArticle

    Minimax Estimation
    Wishart Distribution
    Symmetric Positive Definite Matrix
    Fourier Method
    Multivariate Data
    1 Citation (Scopus)

    Robustness and monotonicity properties of generalized correlation coefficients

    Chen, V. Y. J., Chinchilli, V. M. & Richards, D. S. P., Feb 2011, In : Journal of Statistical Planning and Inference. 141, 2, p. 924-936 13 p.

    Research output: Contribution to journalArticle

    Population distribution
    Normal distribution
    Correlation coefficient
    Monotonicity
    Statistics
    2010
    17 Citations (Scopus)

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

    Chang, W. Y. & Richards, D., Mar 1 2010, In : Journal of Multivariate Analysis. 101, 3, p. 603-620 18 p.

    Research output: Contribution to journalArticle

    Multivariate Normal
    Likelihood Ratio Criterion
    Monotone
    Statistics
    Testing

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

    Richards, D., Dec 1 2010, In : Ramanujan Journal. 23, 1, p. 397-407 11 p.

    Research output: Contribution to journalArticle

    Log-convexity
    Generalized Hypergeometric Function
    Schur Functions
    Hermitian matrix
    Positivity
    5 Citations (Scopus)

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

    Romer, M. M. & Richards, D., Sep 2010, In : Statistics and Probability Letters. 80, 17-18, p. 1284-1288 5 p.

    Research output: Contribution to journalArticle

    Stochastic Representation
    Normal Population
    Multivariate Normal
    Incomplete Data
    Maximum Likelihood Estimation
    5 Citations (Scopus)

    The Stein phenomenon for monotone incomplete multivariate normal data

    Richards, D. S. P. & Yamada, T., Mar 1 2010, In : Journal of Multivariate Analysis. 101, 3, p. 657-678 22 p.

    Research output: Contribution to journalArticle

    Shrinkage Estimator
    Multivariate Normal
    Monotone
    Quadratic Loss
    Estimator
    2009
    27 Citations (Scopus)

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

    Chang, W. Y. & Richards, D. S. P., Oct 1 2009, In : Journal of Multivariate Analysis. 100, 9, p. 1883-1899 17 p.

    Research output: Contribution to journalArticle

    Multivariate Normal
    Covariance matrix
    Probability density function
    Maximum likelihood
    Monotone
    17 Citations (Scopus)

    Long-term variability in the length of the solar cycle

    Richards, M. T., Rogers, M. L. & Richards, D. S. P., Jul 1 2009, In : Publications of the Astronomical Society of the Pacific. 121, 881, p. 797-809 13 p.

    Research output: Contribution to journalArticle

    solar cycles
    sunspot
    solar cycle
    sunspots
    cycles
    2008
    1 Citation (Scopus)

    Natural exponential families and generalized hypergeometric measures

    Lu, I. L. & Richards, D. S. P., Jan 1 2008, In : Communications in Statistics - Theory and Methods. 37, 16, p. 2472-2487 16 p.

    Research output: Contribution to journalArticle

    Natural Exponential Family
    Paul Adrien Maurice Dirac
    Convolution
    Probability Distribution
    Generalized Hypergeometric Series
    2007
    14 Citations (Scopus)

    Counting and locating the solutions of polynomial systems of maximum likelihood equations, II: The Behrens-fisher problem

    Buot, M. L. G., Hoşten, S. & Richards, D., Oct 1 2007, In : Statistica Sinica. 17, 4, p. 1343-1354 12 p.

    Research output: Contribution to journalArticle

    Behrens-Fisher Problem
    Polynomial Systems
    Maximum Likelihood
    Counting
    Likelihood

    The determinant of a hypergeometric period matrix and a generalization of Selberg's integral

    Richards, D. & Zheng, Q., Sep 1 2007, In : Advances in Applied Mathematics. 39, 3, p. 395-408 14 p.

    Research output: Contribution to journalArticle

    Selberg Integral
    Determinant
    Legendre's differential equation
    Vandermonde determinant
    Euler Function
    2006
    10 Citations (Scopus)

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

    Buot, M. L. G. & Richards, D. S. P., Feb 1 2006, In : Journal of Symbolic Computation. 41, 2, p. 234-244 11 p.

    Research output: Contribution to journalArticle

    Polynomial Systems
    Maximum likelihood
    Maximum Likelihood
    Counting
    Polynomials
    2004
    6 Citations (Scopus)

    Algebraic methods toward higher-order probability inequalities, II

    Richards, D. S. P., Apr 1 2004, In : Annals of Probability. 32, 2, p. 1509-1544 36 p.

    Research output: Contribution to journalArticle

    FKG Inequality
    Probability Inequalities
    Algebraic Methods
    Higher Order
    Non-negative
    39 Citations (Scopus)

    Convolution roots of radial positive definite functions with compact support

    Ehm, W., Gneiting, T. & Richards, D., Nov 1 2004, In : Transactions of the American Mathematical Society. 356, 11, p. 4655-4685 31 p.

    Research output: Contribution to journalArticle

    Positive Definite Functions
    Compact Support
    Convolution
    Radial Functions
    Roots
    3 Citations (Scopus)

    Total positivity properties of generalized hypergeometric functions of matrix argument

    Richards, D., Aug 1 2004, In : Journal of Statistical Physics. 116, 1-4, p. 907-922 16 p.

    Research output: Contribution to journalArticle

    Total Positivity
    Generalized Hypergeometric Function
    hypergeometric functions
    Hermitian matrix
    matrices
    2003
    35 Citations (Scopus)

    Statistical analysis of 5 year continuous radio flare data from β Persei, V711 Tauri, δ Librae, and UX Arietis

    Richards, M. T., Waltman, E. B., Ghigo, F. D. & Richards, D. S. P., Aug 1 2003, In : Astrophysical Journal, Supplement Series. 147, 2, p. 337-361 25 p.

    Research output: Contribution to journalArticle

    statistical analysis
    flares
    periodicity
    radio
    periodic variations
    2002
    1 Citation (Scopus)

    Determinant formulas for multidimensional hypergeometric period matrices

    Richards, D. & Zheng, Q., Aug 1 2002, In : Advances in Applied Mathematics. 29, 2, p. 137-151 15 p.

    Research output: Contribution to journalArticle

    Determinant
    Closed-form
    Rational functions
    Power Function
    Integrand
    5 Citations (Scopus)

    Determinants of period matrices and an application to Selberg's multidimensional beta integral

    Richards, D. & Zheng, Q., Jan 1 2002, In : Advances in Applied Mathematics. 28, 3-4, p. 602-633 32 p.

    Research output: Contribution to journalArticle

    Determinant
    Hyperplane Arrangement
    Hypergeometric Functions
    Several Variables
    Linear Function
    15 Citations (Scopus)

    Exact misclassification probabilities for plug-in normal quadratic discriminant functions. II. The heterogeneous case

    McFarland, H. R. & Richards, D. S. P., Jan 1 2002, In : Journal of Multivariate Analysis. 82, 2, p. 299-330 32 p., 92034.

    Research output: Contribution to journalArticle

    Misclassification Probability
    Stochastic Representation
    Discriminant Function
    Plug-in
    Covariance matrix
    1 Citation (Scopus)

    Moment properties of the multivariate Dirichlet distributions

    Gupta, R. D. & Richards, D. S. P., Jan 1 2002, In : Journal of Multivariate Analysis. 82, 1, p. 240-262 23 p.

    Research output: Contribution to journalArticle

    Dirichlet Distribution
    Multivariate Distribution
    Joint Distribution
    Moment
    Beta distribution
    2001
    8 Citations (Scopus)

    An expectation formula for the multivariate dirichlet distribution

    Letac, G., Massam, H. & Richards, D., Apr 2001, In : Journal of Multivariate Analysis. 77, 1, p. 117-137 21 p.

    Research output: Contribution to journalArticle

    Dirichlet Distribution
    Multivariate Distribution
    Cones
    Symmetric Cone
    Denote
    7 Citations (Scopus)

    Exact misclassification probabilities for plug-in normal quadratic discriminant functions. I. The equal-means case

    McFarland, H. R. & Richards, D., Jan 1 2001, In : Journal of Multivariate Analysis. 77, 1, p. 21-53 33 p.

    Research output: Contribution to journalArticle

    Misclassification Probability
    Probability of Misclassification
    Discriminant Function
    Plug-in
    Quadratic Function
    3 Citations (Scopus)

    Experimental approaches to Kuttner's problem

    Gneiting, T., Kanis, K. & Richards, D., Jan 1 2001, In : Experimental Mathematics. 10, 1, p. 117-124 8 p.

    Research output: Contribution to journalArticle

    Symbolic Computation
    Power Function
    Positive definite
    Numerical Computation
    Denote
    1 Citation (Scopus)

    Improved bounds for Laue's constant and multivariate extensions

    Dreier, I., Ehm, W., Gneiting, T. & Richards, D., Jan 1 2001, In : Mathematische Nachrichten. 228, p. 109-122 14 p.

    Research output: Contribution to journalArticle

    Characteristic Function
    Uncertainty Relation
    Estimate
    Probability density function
    Univariate
    14 Citations (Scopus)

    MacMahon's master theorem, representation theory, and moments of Wishart distributions

    Lu, I. L. & Richards, D. S. P., Jan 1 2001, In : Advances in Applied Mathematics. 27, 2-3, p. 531-547 17 p.

    Research output: Contribution to journalArticle

    Wishart Distribution
    Representation Theory
    Moment
    Random Matrices
    Linear algebra
    2000

    Radix expansions and the uniform distribution

    Gupta, R. D. & Richards, D. S. P., Feb 1 2000, In : Statistics and Probability Letters. 46, 3, p. 263-270 8 p.

    Research output: Contribution to journalArticle

    Uniform distribution
    Digit
    Random variable
    Cumulative distribution function
    Joint Distribution
    4 Citations (Scopus)

    The N-Widths of Spaces of Holomorphic Functions on Bounded Symmetric Domains of Tube Type

    Ding, H., Gross, K. I. & Richards, D., May 1 2000, In : Journal of Approximation Theory. 104, 1, p. 121-141 21 p.

    Research output: Contribution to journalArticle

    Bounded Symmetric Domain
    Analytic function
    Tube
    Denote
    Shilov Boundary
    1999
    6 Citations (Scopus)

    Decision-making with heterogeneous sources of information

    Richards, D. & Rowe, W. D., Feb 1 1999, In : Risk Analysis. 19, 1, p. 69-81 13 p.

    Research output: Contribution to journalArticle

    source of information
    Uncertainty
    Decision Making
    Decision making
    decision making