K. C. S. Pillai

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All published works

Action	Title	Year	Authors
+	Multivariate Analysis of Variance (MANOVA)	2014	K. C. S. Pillai
+	<scp>R</scp> oy's Characteristic Root Statistic	2014	K. C. S. Pillai
+	Asymptotic formulae for the percentiles and C.D.F. of Hotelling' s trace under violations	2011	K. C. S. Pillai Nashat Saweris
+	Hotelling's Trace	2005	K. C. S. Pillai
+	<scp>R</scp>oy's Characteristic Root Statistic	2005	K. C. S. Pillai
+	Multivariate Analysis of Variance (MANOVA)	2005	K. C. S. Pillai
+	Mahalanobis <scp> <i>D</i> </scp> <sup>2</sup>	2005	K. C. S. Pillai
+	Hotelling's <i> <scp>T</scp> </i> <sup>2</sup>	2005	K. C. S. Pillai
+	<scp>R</scp>oy's Characteristic Root Statistic	2004	K. C. S. Pillai
+	<scp>P</scp>illai's Trace	2004	K. C. S. Pillai
+	Percentage points of the largest characteristic root of the multivariate beta matrix	1984	K. C. S. Pillai Bernhard Flury
+	Further results on the trace of a noncentral wishart matrix	1982	A. M. Mathai K. C. S. Pillai
+	Some complex variable transformations and exact power comparisons of two-sided tests of equality of two Hermitian covariance matrices	1980	S. Sylvia Chu K. C. S. Pillai
+	Exact robustness studies of the test of independence based on four multivariate criteria and their distribution problems under violations	1979	K. C. S. Pillai Yu‐Sheng Hsu
+	Distribution of characteristic roots in multivariate analysis Part II. Non‐Null Distribution	1977	K. C. S. Pillai
+	Asymptotic distribution of hotelling's trace for two unequal covariance matrices and robustness study of test of equality of mean vectors	1977	K. C. S. Pillai Nashat Saweris
+	Distributions of Characteristic Roots in Multivariate Analysis	1976	K. C. S. Pillai
+ PDF Chat	Maximization of an Integral of a Matrix Function and Asymptotic Expansions of Distributions of Latent Roots of Two Matrices	1976	A. Chattopadhyay K. C. S. Pillai Hung C. Li
+	Distributions of Characteristic Roots in Multivariate Analysis Part I. Null Distributions	1976	K. C. S. Pillai
+ PDF Chat	Exact Robustness Studies of Tests of Two Multivariate Hypotheses Based on Four Criteria and Their Distribution Problems Under Violations	1975	K. C. S. Pillai Sudjana
+ PDF Chat	The Distribution of the Characteristic Roots of $S_1S_2^{-1}$ Under Violations	1975	K. C. S. Pillai
+	Distribution of the likelihood ratio criterion for testing Σ = Σ0, μ = μ0	1974	B. N. Nagarsenker K. C. S. Pillai
+	On the Max U-Ratio and Likelihood Ratio Tests of Equality of Several Covariance Matrices	1974	K. C. S. Pillai Dennis Young
+	On the distribution of hotelling's trace and power comparisons	1974	K. C. S. Pillai Sudjana
+	On the max u-ratio and likelihood ratio tests of equality of several covariance matrices	1974	K. C. S. Pillai Dennis L Young Purdue
+	Distribution of the Likelihood Ratio Criterion for Testing a Hypothesis Specifying a Covariance Matrix	1973	B. N. Nagarsenker K. C. S. Pillai
+	The distribution of the sphericity test criterion	1973	B. N. Nagarsenker K. C. S. Pillai
+	The max trace-ratio test of the hypothesis H<sub>0</sub>:∑<sub>-1</sub>=…=;∑<sub>-k</sub>=λ∑<sub>-0</sub>	1973	K. C. S. Pillai Dennis Young
+	Asymptotic Expansions for the Distributions of Characteristic Roots When the Parameter Matrix Has Several Multiple Roots11This research was supported by National Science Foundation grant GP-11473.	1973	A. K. Chattopadhyay K. C. S. Pillai
+	Distribution of the likelihood ratio criterion for testing a hypothesis specifying a covariance matrix	1973	B. N. Nagarsenker K. C. S. Pillai
+	On the distributions of a class of statistics in multivariate analysis	1972	K. C. S. Pillai B. N. Nagarsenker
+	An approximation to the distribution of the largest root of a complex Wishart matrix	1971	K. C. S. Pillai D.L. Young
+	Asymptotic formulae for the distributions of some criteria for tests of equality of covariance matrices	1971	A. K. Chattopadhyay K. C. S. Pillai
+	On the exact distribution of Hotelling's generalized T02	1971	K. C. S. Pillai Dennis Young
+ PDF Chat	On the Distribution of the Sphericity Test Criterion in Classical and Complex Normal Populations Having Unknown Covariance Matrices	1971	K. C. S. Pillai B. N. Nagarsenker
+ PDF Chat	Some Distribution Problems in the Multivariate Complex Gaussian Case	1971	K. C. S. Pillai G. M. Jouris
+	Monotonicity of the power functions of some tests of hypotheses concerning multivariate complex normal distributions	1970	K. C. S. Pillai Hung C. Li
+ PDF Chat	Asymptotic Expansions for Distributions of the Roots of Two Matrices from Classical and Complex Gaussian Populations	1970	Hung C. Li K. C. S. Pillai T. C. Chang
+	An approximation to the C.D.F.of the largest root of a covariance matrix	1970	K. C. S. Pillai
+ PDF Chat	On the Distributions of the Ratios of the Roots of a Covariance Matrix and Wilks' Criterion for Tests of Three Hypotheses	1969	K. C. S. Pillai Sabri Al-Ani G. M. Jouris
+	Power comparisons of tests of two multivariate hypotheses based on individual characteristic roots	1969	K. C. S. Pillai Charles O. Dotson
+ PDF Chat	On the Moments of Elementary Symmetric Functions of the Roots of Two Matrices and Approximations to a Distribution	1968	C. G. Khatri K. C. S. Pillai
+ PDF Chat	On the Non-Central Distributions of Two Test Criteria in Multivariate Analysis of Variance	1968	C. G. Khatri K. C. S. Pillai
+	On the moments of traces of two matrices in multivariate analysis	1967	C. G. Khatri K. C. S. Pillai
+ PDF Chat	On the Moments of the Trace of a Matrix and Approximations to Its Non- Central Distribution	1966	C. G. Khatri K. C. S. Pillai
+	On linear functions of ordered correlated normal random variables	1965	Samarth Gupta K. C. S. Pillai
+ PDF Chat	Some Results on the Non-Central Multivariate Beta Distribution and Moments of Traces of Two Matrices	1965	C. G. Khatri K. C. S. Pillai
+	Statistical Tables for Tests of Multivariate Hypotheses.	1961	W. G. M. K. C. S. Pillai
+	Statistical Tables for Tests of Multivariate Hypotheses.	1961	M. J. R. Healy K. C. S. Pillai
+	On Hotelling's Generalization of T 2 .	1961	Ingram Olkin K. C. S. Pillai Pablo Samson
+ PDF Chat	On the Moments of the Trace of a Matrix and Approximations to its Distribution	1959	K. C. S. Pillai Tito A. Mijares
+	Upper Percentage Points of the Extreme Studentized Deviate from the Sample Mean	1959	K. C. S. Pillai
+	On the Distribution of the Extreme Studentized Deviate from the Sample Mean	1959	K. C. S. Pillai Benjamin P. Tienzo
+	Concise Tables for Statisticians.	1959	David Barton K. C. S. Pillai
+	ON THE DISTRIBUTION OF THE EXTREME STUDENTIZED DEVIATE FROM THE SAMPLE MEAN	1959	K. C. S. Pillai Benjamin P. Tienzo
+ PDF Chat	Some Results Useful in Multivariate Analysis	1956	K. C. S. Pillai
+	On the Distribution of the Largest or the Smallest Root of a Matrix in Multivariate Analysis	1956	K. C. S. Pillai
+	ON THE DISTRIBUTION OF THE LARGEST OR THE SMALLEST ROOT OF A MATRIX IN MULTIVARIATE ANALYSIS	1956	K. C. S. Pillai
+ PDF Chat	Some New Test Criteria in Multivariate Analysis	1955	K. C. S. Pillai
+ PDF Chat	On the Distribution of the Ratio of the ith Observation in an Ordered Sample from a Normal Population to an Independent Estimate of the Standard Deviation	1954	K. C. S. Pillai K. V. Ramachandran
+	On some distribution problems in multivariate analysis	1954	K. C. S. Pillai Sreedharan
+ PDF Chat	On the Distributions of Midrange and Semi-Range in Samples from a Normal Population	1950	K. C. S. Pillai

Common Coauthors

Coauthor	Papers Together
B. N. Nagarsenker	6
C. G. Khatri	5
Dennis Young	3
Hung C. Li	3
Nashat Saweris	2
G. M. Jouris	2
Sudjana	2
A. K. Chattopadhyay	2
Benjamin P. Tienzo	2
K. V. Ramachandran	1
Tito A. Mijares	1
Charles O. Dotson	1
D. L. Young	1
Sreedharan	1
S. Sylvia Chu	1
W. G. M.	1
A. M. Mathai	1
T. C. Chang	1
A. Chattopadhyay	1
Sabri Al-Ani	1
Bernhard Flury	1
Yu‐Sheng Hsu	1
Ingram Olkin	1
M. J. R. Healy	1
Samarth Gupta	1
David Barton	1
Pablo Samson	1
Dennis L Young Purdue	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Distributions of Matrix Variates and Latent Roots Derived from Normal Samples	1964	A. T. James	13
+ PDF Chat	Some New Test Criteria in Multivariate Analysis	1955	K. C. S. Pillai	11
+ PDF Chat	Some Results Useful in Multivariate Analysis	1956	K. C. S. Pillai	10
+	Some Aspects of Multivariate Analysis.	1958	S. Kullback Sasanka Roy	10
+	On some distribution problems in multivariate analysis	1954	K. C. S. Pillai Sreedharan	9
+	Comparative Robustness of Six Tests in Multivariate Analysis of Variance	1974	Chester L. Olson	8
+	Power comparisons of tests of equality of two covariance matrices based on four criteria	1968	K. C. Sreedharan Pillai K. Jayachandran	8
+ PDF Chat	Some Non-Central Distribution Problems in Multivariate Analysis	1963	A. G. Constantine	8
+	Distribution of characteristic roots in multivariate analysis Part II. Non‐Null Distribution	1977	K. C. S. Pillai	7
+	Power comparisons of tests of two multivariate hypotheses based on four criteria	1967	K. C. Sreedharan Pillai K. Jayachandran	7
+	An Introduction to Multivariate Statistical Analysis.	1985	C. J. Skinner T. W. Anderson	7
+	Statistical Tables for Tests of Multivariate Hypotheses.	1961	W. G. M. K. C. S. Pillai	7
+ PDF Chat	On the Moments of Elementary Symmetric Functions of the Roots of Two Matrices	1964	K. C. Sreedharan Pillai	7
+	An Introduction to Multivariate Statistics.	1980	M. J. R. Healy Muni S. Srivastava C. G. Khatri	7
+	Exact robustness studies of the test of independence based on four multivariate criteria and their distribution problems under violations	1979	K. C. S. Pillai Yu‐Sheng Hsu	6
+	On the Effects of Moderate Multivariate Nonnormality on Roy's Largest Root Test	1982	A. W. Davis	5
+	On the exact distribution of Hotelling's generalized T02	1971	K. C. S. Pillai Dennis Young	5
+	Distributions of Characteristic Roots in Multivariate Analysis Part I. Null Distributions	1976	K. C. S. Pillai	5
+	Aspects of Multivariate Statistical Theory	1982	Robb J. Muirhead	5
+ PDF Chat	The Distribution of Hotelling's Generalised $T_0^2$	1966	A. G. Constantine	4
+	ON THE DISTRIBUTION OF THE LARGEST OR THE SMALLEST ROOT OF A MATRIX IN MULTIVARIATE ANALYSIS	1956	K. C. S. Pillai	4
+	Percentage points of the largest characteristic root of the multivariate beta matrix	1984	K. C. S. Pillai Bernhard Flury	4
+ PDF Chat	THE SAMPLING DISTRIBUTION OF SOME STATISTICS OBTAINED FROM NON‐LINEAR EQUATIONS	1939	Ronald Aylmer Fisher	4
+ PDF Chat	Some Results on the Non-Central Multivariate Beta Distribution and Moments of Traces of Two Matrices	1965	C. G. Khatri K. C. S. Pillai	4
+ PDF Chat	Classical Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution	1965	C. G. Khatri	4
+	Measures of multivariate skewness and kurtosis with applications	1970	Kanti V. Mardia	4
+	Exact distributions of Hotelling's generalized T20	1970	A. W. Davis	4
+ PDF Chat	Asymptotic Formulae for the Distribution of Hotelling's Generalized $T_0^2$ Statistic. II	1960	Koichi Ito	4
+ PDF Chat	Asymptotic Formulae for the Distribution of Hotelling's Generalized $T^2_0$ Statistic	1956	Koichi Ito	4
+	Some recent developments on complex multivariate distributions	1976	P. R. Krishnaiah	4
+ PDF Chat	A Generalized T Test and Measure of Multivariate Dispersion	1951	Harold Hotelling	4
+	Concise Tables for Statisticians.	1958	D. L. Wallace K. C. Sreedharan Pillai	4
+	The effect of nonnormality on some multivariate tests and robustness to nonnormality in the linear model	1971	Kanti V. Mardia	4
+ PDF Chat	Exact Robustness Studies of Tests of Two Multivariate Hypotheses Based on Four Criteria and Their Distribution Problems Under Violations	1975	K. C. S. Pillai Sudjana	3
+ PDF Chat	Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction)	1963	N. R. Goodman	3
+	Percentile approximations for a class of likelihood ratio criteria	1971	A. W. Davis	3
+ PDF Chat	On the Monotonic Character of the Power Functions of Two Multivariate Tests	1961	Sasanka Roy Wadie F. Mikhail	3
+	On the effects of moderate multivariate nonnormality on Wilks's likelihood ratio criterion	1980	A. W. Davis	3
+	An Introduction to Multivariate Statistical Analysis	1986	Robb J. Muirhead T. W. Anderson	3
+	Asymptotic distribution of the sample roots for a nonnormal population	1976	Christine Waternaux	3
+	The distribution of the sphericity test criterion	1973	B. N. Nagarsenker K. C. S. Pillai	3
+	ON HOTELLING'S GENERALIZATION OF <i>T<sup>2</sup></i>	1959	K. C. Sreedharan Pillai Pablo Samson	3
+	Further tabulation of Hotelling's generalized	1980	A. W. Davis	3
+	A generalized multivariate analysis of variance model useful especially for growth curve problems	1964	Richard F. Potthoff Sasanka Roy	3
+ PDF Chat	Monotonicity of the Power Functions of Some Tests of Independence between Two Sets of Variates	1964	T. W. Anderson S. Das Gupta	3
+	Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way Classification	1954	George E. P. Box	3
+	Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations	1980	Robb J. Muirhead Christine Waternaux	3
+ PDF Chat	Some Extensions of the Wishart Distribution	1944	T. W. Anderson M. A. Girshick	3
+ PDF Chat	On the Distributions of the Ratios of the Roots of a Covariance Matrix and Wilks' Criterion for Tests of Three Hypotheses	1969	K. C. S. Pillai Sabri Al-Ani G. M. Jouris	3
+ PDF Chat	Unbiasedness of Some Test Criteria for the Equality of One or Two Covariance Matrices	1968	Nariaki Sugiura Hisao Nagao	3