Duong Thanh Phong

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All published works

Action	Title	Year	Authors
+	Approximation for the distribution function of non-central complex Wilks statistic	2023	Duong Thanh Phong
+	The distribution of the non-central Wilks statistic in the complex case	2022	T. Pham‐Gia Duong Thanh Phong
+	Distributions of powers of the central beta matrix variates and applications	2019	T. Pham‐Gia Duong Thanh Phong Dinh Ngoc Thanh
+	Exact distribution of the non-central Wilks’s statistic of the second kind	2019	Duong Thanh Phong T. Pham‐Gia Dinh Ngoc Thanh
+	Exact distributions of two non-central generalized Wilks's statistics	2019	Duong Thanh Phong T. Pham‐Gia Dinh Ngoc Thanh
+ PDF Chat	Trace of the Wishart Matrix and Applications	2015	T. Pham‐Gia Dinh Ngoc Thanh Duong Thanh Phong

Common Coauthors

Coauthor	Papers Together
T. Pham‐Gia	5
Dinh Ngoc Thanh	4

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Matrix Variate Distributions	2018	Arjun K. Gupta Daya K. Nagar	4
+ PDF Chat	Distributions of Matrix Variates and Latent Roots Derived from Normal Samples	1964	A. T. James	4
+	Exact distribution of the generalized Wilks’s statistic and applications	2008	T. Pham‐Gia	4
+ PDF Chat	Roy’s largest root test under rank-one alternatives	2016	Iain M. Johnstone Boaz Nadler	3
+	The efficient evaluation of the hypergeometric function of a matrix argument	2006	Plamen Koev Alan Edelman	3
+	Methods of Multivariate Analysis	2012	Alvin C. Rencher William F. Christensen	3
+	The H-Function : Theory and Applications	2010	A. M. Mathai Rajendra K. Saxena H. J. Haubold	3
+	METHODS OF STATISTICAL ANALYSIS APPROPRIATE FOR k SAMPLES OF TWO VARIABLES	1933	E. S. Pearson S. S. Wilks	2
+	On Wilk's multivariate generalization of the correlation ratio	1976	Mike Hart Arthur H. Money	2
+	Finite Form Representations for Meijer G and Fox H Functions	2019	Carlos A. Coelho Barry C. Arnold	2
+ PDF Chat	The Non-Central Wishart Distribution and Certain Problems of Multivariate Statistics	1946	T. W. Anderson	2
+	Certain Generalizations in the Analysis of Variance	1932	S. S. Wilks	2
+ PDF Chat	Calculation of Zonal Polynomial Coefficients by Use of the Laplace-Beltrami Operator	1968	A. T. James	2
+	Power comparisons of tests of two multivariate hypotheses based on four criteria	1967	K. C. Sreedharan Pillai K. Jayachandran	2
+	Aspects of Multivariate Statistical Theory	1982	Robb J. Muirhead	2
+	Nonnull distribution of Wilks' statistic for Manova in the complex case	1976	Arjun K. Gupta	2
+ PDF Chat	Distributions of Ratios: From Random Variables to Random Matrices	2011	T. Pham‐Gia N. Turkkan	2
+ PDF Chat	The Distribution of Noncentral Means with Known Covariance	1961	A. T. James	2
+	Generalized multirate analysis of variance	2003	A. Dogandzic Arye Nehorai	2
+	The H-Function	2009	A. M. Mathai Ram K. Saxena H. J. Haubold	2
+	Roy’s largest root under rank-one perturbations: The complex valued case and applications	2019	Prathapasinghe Dharmawansa Boaz Nadler Ofer Shwartz	2
+	A MIMO Version of the Reed-Yu Detector and Its Connection to the Wilks Lambda and Hotelling $T^2$ Statistics	2020	Ronald W. Butler Pooria Pakrooh Louis L. Scharf	2
+ PDF Chat	Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction)	1963	N. R. Goodman	1
+ PDF Chat	A Note on the Sphericity Test	1966	Leon Jay Gleser	1
+	The distribution of the ratios of characteristics roots (condition numbers) and their applications in principal component or ridge regression	1986	C. G. Troskie W. J. Conradie	1
+	On the distribution of the ratio of the largest eigenvalue to the trace of a Wishart matrix	2010	Boaz Nadler	1
+	A comparison of the powers of two multivariate analysis of variance tests	1962	Koichi Ito	1
+	THE non‐null distribution of the likelihood ratio criterion for testing the hypothesis that the covariance matrix is diagonal	1977	A. M. Mathai Wei Tan	1
+	Lauricella and Humbert functions through probabilistic tools	2009	Jean-François Chamayou Jacek Wesołowski	1
+	Power of the likelihood-ratio test of the general linear hypothesis in multivariate analysis	1964	Harry O. Posten Rolf E. Bargmann	1
+	On the trace of a wishart	1998	Deborah H. Glueck Keith E. Muller	1
+	On the ratios of the individual latent roots to the trace of a Wishart matrix	1972	A. W. Davis	1
+ PDF Chat	Noncentral Distribution of Wilks' Statistic in Manova	1971	Arjun K. Gupta	1
+	A Characterization of Bartlett's statistic involving incomplete beta functions	1980	Ronald E. Glaser	1
+	The Ratio of the Geometric Mean to the Arithmetic Mean for a Random Sample from a Gamma Distribution	1976	Ronald E. Glaser	1
+	An Introduction to Multivariate Statistical Analysis	1986	Robb J. Muirhead T. W. Anderson	1
+	Comparative Robustness of Six Tests in Multivariate Analysis of Variance	1974	Chester L. Olson	1
+	Practical methods for computing power in testing the multivariate general linear hypothesis	1984	Keith E. Muller Bercedis L. Peterson	1
+	Approximation of power in multivariate analysis	2005	Ronald W. Butler Andrew T. A. Wood	1
+ PDF Chat	On a Heuristic Method of Test Construction and its use in Multivariate Analysis	1953	Sasanka Roy	1
+	Computation of the highest posterior density interval in bayesian analysis	1993	N. Turkkan T. Pham‐Gia	1
+	Highest Posterior Density Credible Region and Minimum Area Confidence Region: The Bivariate Case	1997	N. Turkkan T. Pham‐Gia	1
+	Testing the equality of several covariance matrices	2011	T. Pham‐Gia N. Turkkan	1
+	Extensions of Wilks' integral equations and distributions of test statistics	1984	A. M. Mathal	1
+	On Wishart distribution: Some extensions	2011	José A. Dı ́az-García Ramón Gutiérrez Jáimez	1
+ PDF Chat	On the Expected Values of the Elementary Symmetric Functions of a Noncentral Wishart Matrix	1972	De Waal	1
+ PDF Chat	Probability Content of Regions Under Spherical Normal Distributions, IV: The Distribution of Homogeneous and Non-Homogeneous Quadratic Functions of Normal Variables	1962	Harold Ruben	1
+	Testing sphericity using small samples	2009	T. Pham‐Gia N. Turkkan	1
+	Further results on the trace of a noncentral wishart matrix	1982	A. M. Mathai K. C. S. Pillai	1
+	On a stochastic inequality for the wilks statistic	1975	Arjun K. Gupta	1