Recent Publications
A reflection formula for the Gaussian hypergeometric function of matrix argument
(with Q. Zheng ).
Independence properties of the truncated multivariate elliptical distributions
(with M. Levine and J. Su ), Statistics and Probability Letters , 2020, to appear.
The distance standard deviation
(with D. Edelmann and D. Vogel ),
Annals of Statistics , 2020, to appear.
Integral transform methods in goodness-of-fit testing, II: The Wishart distributions
(with E. Hadjicosta ), Annals of the Institute of Statistical Mathematics , 2019, to appear.
Integral transform methods in goodness-of-fit testing, I: The gamma distributions
(with E. Hadjicosta ), Metrika , 2019, to appear.
Dependence properties of B-spline copulas
(with X. Dou ,
S. Kuriki , and
G. D. Lin ),
Sankhya , 2019, to appear.
Long-term implications of the revenue
transfer methodology in the Affordable Care Act
(with I. Muzumdar ), North American Actuarial Journal , 23 (2019), 591-597.
Generalized Fréchet bounds for cell entries in multidimensional contingency tables
(with C. Uhler ), Journal of Algebraic Statistics , 10 (2019), 1-12.
Loading monotonicity of weighted premiums, and total positivity properties of weight functions
(with C. Uhler ), Journal of Mathematical Analysis and its Applications , 475 (2019), 532-553.
Statistical implications of the revenue transfer methodology in the Affordable Care Act
(with M. Li), North American Actuarial Journal , 23 (2019), 27-32.
The multiple roots phenomenon in maximum likelihood estimation for factor analysis
(with E. Gross ,
S. Petrović , and D. Stasi ),
In: The 50th Anniversary of Groebner Bases
(T. Hibi, editor), Advanced Studies in Pure Mathematics, 77 , Mathematical Society of
Japan, Tokyo, 2018.
Exact formulas for the normalizing
constants of Wishart distributions for graphical models
(with C. Uhler and A. Lenkoski ), Annals of Statistics , 46 (2018), 90-118.
A probabilistic analysis of autocallable optimization
securities
(with G. K. Samuel), In:
Models and Reality: Festschrift For James Robert Thompson (Ed. J. A. Dobelman),
T&NO Company, Chicago, 2017, pp. 147-182.
Maximum likelihood estimation for linear Gaussian covariance models (with P. Zwiernik
and C. Uhler ), Journal of the Royal Statistical Society, Ser. B , 79 (2017), 1269-1292.
Distance correlation coefficients for Lancaster distributions
(with J. Dueck and D. Edelmann ), Journal of Multivariate Analysis , 154 (2017), 19--39.
Distance correlation: A new tool for detecting association and measuring correlation between data sets
Notices of the American Mathematical Society , 64 (2017), 16--18.
Exact ZF analysis and computer-algebra-aided evaluation in rank-1 LoS Rician fading
(with C. Siriteanu , A. Takemura , C. Koutschan , S. Kuriki , and H. Shin ),
IEEE Transactions on Wireless Communications , 15 (2016), 5245--5259.
R.A.P.I.D. (Root Aggregated Prioritized Information Display): A single screen display
for efficient digital triaging of medical reports
(with J. P. Ford, L. Huang , E. P. Ambinder,
and J. L. Rosenberger ),
Journal of Biomedical Informatics , 61 (2016), 214--223.
Chi-square mixture representations for the distribution of the scalar Schur complement
in a noncentral Wishart matrix
(with C. Siriteanu , S. Kuriki , and A. Takemura ),
Statistics and Probability Letters , 115 (2016), 79--87.
EM algorithms for estimating the Bernstein copula
(with X. Dou ,
S. Kuriki , and
G. D. Lin ),
Computational Statistics and Data Analysis , 93 (2016), 228--245: doi:10.1016/j.csda.2014.01.009
Kurtosis tests for multivariate normality with monotone incomplete data
(with T. Yamada and M. M. Romer) ,
TEST , 24 (2015), 532--557.
Gaussian random particles with flexible Hausdorff dimension
(with L. V. Hansen ,
T. L. Thorarinsdottir , E. Ovcharov , and T. Gneiting ),
Advances in Applied Probability , 47 (2015), 307--327.
Schur complement-based analysis of MIMO zero-forcing for Rician fading
(with C. Siriteanu , A. Takemura , S. Kuriki , and H. Shin ),
IEEE Transactions on Wireless Communications , 14 (2015), 1757--1770.
A generalization of an integral arising in the theory of distance correlation
(with J. Dueck and D. Edelmann ),
Statistics and Probability Letters , 97 (2015), 116--119.
Interpreting the distance correlation results for the COMBO-17 survey
(with M. T. Richards
and E. Martínez-Gómez ), Astrophysical Journal Letters , 784 (2014), L34 (5 pp.).
Distance correlation methods for discovering associations in large astrophysical databases
(with E. Martínez-Gómez and
M. T. Richards ), Astrophysical Journal , 781 (2014), 39 (11 pp.).
The affinely invariant distance correlation
(with J. Dueck, D. Edelmann , and T. Gneiting ),
Bernoulli , 20 (2014), 2305-2330: doi: 10.3150/13-bej558 .
Finite-sample inference with monotone incomplete multivariate normal data, III:
Hotelling's T ^{2} -statistic
(with M. M. Romer) , Statistical Modelling , 13 (2013), 431--457.
Detecting novel correlations in large astrophysical data sets
(with E. Martínez-Gómez and
M. T. Richards ).
In: 2013 JSM Proceedings , Section on Physical and Engineering Sciences,
pp. 4038-4052. American Statistical Association, Alexandria, VA.
Artistic license , 2012
Commentary on structured financial products.
Return optimization securities and other remarkable
structured investment products: Indicators of future outcomes for U.S Treasuries?
Presented at the Eubank Conference on Real World Markets ,
Rice University, October 18-19, 2010.
Constant proportion debt
obligations, Zeno's paradox, and the spectacular financial crisis of 2008
(with H. Hundal ),
Presented at the Eubank Conference on Real World Markets ,
Rice University, March 23-24, 2009.
Minimax estimation for mixtures of Wishart distributions
(with L. R. Haff ,
P. T. Kim , and J.-Y. Koo),
The Annals of Statistics , 39 (2011), 3417--3440.
High-dimensional
random matrices from the classical matrix groups, and generalized
hypergeometric functions of matrix argument ,
Symmetry , 3 (2011), 600--610.
Deconvolution density estimation on spaces of positive definite symmetric matrices
(with P. T. Kim ),
In: Nonparametric
Statistics and Mixture Models: A Festschrift in Honor of Thomas P. Hettmansperger ,
World Scientific Press, Singapore, 2011, pp. 147--168.
Statistical models for
globular cluster luminosity distribution
(with M.-L. G. Buot ),
In: Nonparametric
Statistics and Mixture Models: A Festschrift in Honor of Thomas P. Hettmansperger ,
World Scientific Press, Singapore, 2011, pp. 58--68.
Robustness and monotonicity properties of generalized correlation coefficients
(with V. Y.-J. Chen and
V. M. Chinchilli ),
Journal of Statistical Planning and Inference , 141 (2011), 924--936.
Log-convexity
properties of Schur functions and generalized hypergeometric functions of matrix
argument ,
The Ramanujan Journal , 23 (2010), 397--407.
Multi-wavelength data analysis of ONC X-ray sources (with S. M. Hojnacki,
N. Grosso, G. Micela,
N. Schulz, and D. Huenemoerder),
In: Proceedings of the International Conference on X-Ray Astronomy, 2009:
Present Status,
Multi-Wavelength Approach and Future Perspectives (A. Comastri,
et al. , eds.),
AIP Conference Proceedings, 1248 (2010), 579--582.
Maximum likelihood
estimation of the mean of a multivariate normal population with monotone
incomplete data (with M. M. Romer) ,
Statistics and Probability Letters , 80 (2010), 1284--1288.
Structural properties of the generalized Dirichlet distributions
(with W.-Y. Chang and R. D. Gupta),
Contemporary Mathematics , 516 (2010), 109--124.
The Stein
phenomenon for monotone incomplete multivariate normal data
(with T. Yamada ),
Journal of Multivariate Analysis ,
101 (2010), 657--678.
Finite-sample inference with monotone incomplete multivariate normal data, II
(with W.-Y. Chang ),
Journal of Multivariate Analysis ,
101 (2010), 603--620.
Chapter 35: Functions of Matrix Argument , In:
The Digital Library of Mathematical Functions ,
(eds.: F. Olver, D. Lozier, R. Boisvert, and C. Clark),
National Institutes of Standards and Technology,
2010.
Finite-sample inference with monotone incomplete multivariate normal data, I
(with W.-Y. Chang ),
Journal of Multivariate Analysis ,
100 (2009), 1883--1899.
Long-term variability in the length of the
solar cycle
(with M. L. Rogers and M. T. Richards )
Publications of the Astronomical Society of the Pacific , 121 (2009), 797--809.
Diffusion tensor imaging and deconvolution on spaces of
positive definite symmetric matrices (with
P. T. Kim )
In: Mathematical
Foundations of Computational Anatomy: Geometrical and Statistical
Methods for
Biological Shape Variability Modeling
(eds.: X. Pennec and S. Joshi), 2008, pp. 140--149.
Natural exponential families and generalized hypergeometric measures
(with I. Lu )
Communications in Statistics - Theory and Methods ,
37 (2008), 2472--2487.
Counting and
locating the solutions of polynomial systems of maximum likelihood equations, II:
The Behrens-Fisher problem
(with M.-L. G. Buot and S. Hosten )
Statistica Sinica , 17 (2007), 1343--1354.
The determinant of a hypergeometric period
matrix and a generalization of Selberg's integral
(with Q. Zheng )
Advances in Applied Mathematics , 39 (2007), 395--408.
Counting and locating the solutions of
polynomial systems of maximum likelihood equations, I
(with M.-L. G. Buot )
Journal of Symbolic Computation , 41 (2006), 234--244.
Remain steadfast with the St. Petersburg paradox
to quantify irrational exuberance
(with G. J. Székely )
The American Statistician , 59 (2005), 235--239.
Random walks as motivational material in
introductory statistics and probability courses
(with L. A. Fisher )
The American Statistician , 58 (2004), 310--316.
The ultimate citation , 2004
This citation speaks for itself.
The St. Petersburg paradox and the crash of
high-tech stocks in 2000
(with G. J. Székely)
The American Statistician , 58 (2004),
225--231.
Total positivity properties of generalized
hypergeometric functions of matrix argument
Journal of Statistical Physics , 116 (2004),
907--922.
Algebraic methods toward higher-order probability inequalities, II
The Annals of Probability , 32 (2004), 1509--1544.
Convolution roots of radial positive
definite functions with compact support
(with W. Ehm and T. Gneiting )
Transactions of the American Mathematical Society ,
356 (2004), 4655--4685.
Innovations Report, August 2003
A press release in Innovations Report about the paper on the flaring
cycles of distant stars.
Science News, August 2003
An article in Science News about the paper on the flaring cycles
of distant stars.
Major flares are predictable on far-away stars
Two Penn State University press releases in 2003 about flaring cycle
activity on Beta Persei, V711 Tauri, Delta Librae and UX Arietis.
Statistical analysis of 5 year continuous radio flare
data from Beta Persei, V711 Tauri, Delta Librae and UX Arietis
(with M. T. Richards , E. B. Waltman, and F. D. Ghigo)
The Astrophysical Journal Supplement Series , 147
(2003), 337--361.
Deconvolution density estimation on
compact Lie groups
(with P. T. Kim )
Contemporary Mathematics , 287 (2001), 155--171.
Donald Richards' Home Page