C. G. Khatri

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All published works

Action	Title	Year	Authors
+	the null hypothesis Ho(XA = Ip), X > 0 being given, we have two statistics given	2016	C. G. Khatri
+	ON EXACT NON-NULL DISTRIBUTIONS OF LIKELIHOOD RATIO CRITERIA FOR SPHERICITY TEST AND EQUALITY OF TWO	2016	Covariance Matrices C. G. Khatri Muni S. Srivastava
+	ON A CLASS OF ORTHOGONAL INVARIANT AND RESIDUAL INDEPENDENT MATRIX DISTRIBUTIONS	2016	C. G. Khatri Ravindra Khattree Rameshwar D. Gupta
+	Empirical Hierarchical Bayes Estimation	1992	C. G. Khatri C. Radhakrishna Rao
+	Analysis of a multicenter trial using a multivariate approach to a mixed linear model	1992	C. G. Khatri H. I. Patel
+	Inferences on Multivariate Measures of Interclass and Intraclass Correlations in Familial Data	1991	Sadanori Konishi C. G. Khatri C. Radhakrishna Rao
+	Correcting remarks on “characterization of normality within the class of elliptical contoured distributions”	1991	T. Cacoullos C. G. Khatri
+	A study of redundancy of some variables in covariate discriminant analysis	1990	Yasunori Fujikoshi C. G. Khatri
+	Some asymptotic inferential problems connected with complex elliptical distribution	1990	C. G. Khatri C. D. Bhavsar
+	Some properties of BLUE in a linear model and canonical correlations associated with linear transformations	1990	C. G. Khatri
+	Study of redundancy of vector variables in canonical correlations	1989	C. G. Khatri
+	Testing intraclass correlation coefficients	1989	C. G. Khatri Tarmo Pukkila C. Radhakrishna Rao
+	Multivariate generalization of t'- statistic based on the mean square successive difference	1989	C. G. Khatri
+	STEIN TYPE ESTIMATORS FOR REGRESSION COEFFICIENTS IN A MULTIVARIATE LINEAR MODEL UNDER ELLIPTICAL DISTRIBUTIONS++Center for Multivariate Analysis, 123 Pond Laboratory, Penn State University.	1989	C. G. Khatri
+	Asymptotic Distributions of Test Statistics for Matrices Concerning Elliptical Distributions	1989	C. G. Khatri C. D. Bhavsar
+	Some asymptotic inferential problems connected with elliptical distributions	1988	C. G. Khatri
+	Robustness study for a linear growth model	1988	C. G. Khatri
+	Test for a specified signal when the noise covariance matrix is unknown	1987	C. G. Khatri C. Radhakrishna Rao
+	Characterization of normality within the class of elliptical contoured distributions	1987	C. G. Khatri Rahul Mukerjee
+	Quadratic Forms to Have a Specified Distribution	1987	C. G. Khatri
+	Contemporary Textbooks on Multivariate Statistical Analysis: A Panoramic Appraisal and Critique	1986	Pranab Kumar Sen T. W. Anderson Steven F. Arnold M. L. Eaton N. Giri R. Gnanadesikan M. G. Kendall Anant M. Kshirsagar K. V. Mardia J. T. Kent
+	Tables for obtaining confidence bounds for realized signal to noise ratio with an estimated discriminant function	1986	C. G. Khatri C. Radhakrishna Rao Y. N. Sun
+	A note on idempotent matrices	1985	C. G. Khatri
+	Some Remarks on the Spherical Distributions and Linear Models	1985	C. G. Khatri
+	A generalization of Lavoie's inequality concerning the sum of idempotent matrices	1983	C. G. Khatri
+	Estimation of the common location paeameters for the two linear models	1983	C. G. Khatri
+	Multivariate discrete exponential family of distributions and their properties	1983	C. G. Khatri
+	Some extensions of the Kantorovich inequality and statistical applications	1981	C. G. Khatri C. Radhakrishna Rao
+	Interval estimation of the common mean	1981	C. G. Khatri Kirti R. Shah
+	Some Generalizations of Kantorovich Inequality	1981	C. G. Khatri C. Mallikarjuna Rao
+	Analysis of incomplete data in experiments with repeated measurements in clinicaltrials using a stochastic model	1981	H. I. Patel C. G. Khatri
+	Powers of matrices and idempotency	1980	C. G. Khatri
+	The necessary and sufficient conditions for dependent quadratic forms to be distributed as multivariate gamma	1980	C. G. Khatri
+	14 Quadratic forms in normal variables	1980	C. G. Khatri
+	An Introduction to Multivariate Statistics.	1980	M. J. R. Healy Muni S. Srivastava C. G. Khatri
+	Unified treatment of Cramér-Rao bound for the nonregular density functions	1980	C. G. Khatri
+	Characterizations of multivariate normality II. Through linear regressions	1979	C. G. Khatri
+	Minimum variance quadratic unbiased estimate of a linear function of variances and covariances under Manova model	1979	C. G. Khatri
+	Some optimization problems with applications to canonical correlations and sphericity tests	1978	C. G. Khatri
+	On monotonicity of the modified likelihood ratio test for the equality of two covariances	1978	Muni S. Srivastava C. G. Khatri E.M. Carter
+	A remark on the necessary and suffcient conditions for a quadratic form to be distributed as chi-squared	1978	C. G. Khatri
+	Uniform distribution on a Stiefel manifold	1977	Kanti V. Mardia C. G. Khatri
+	The von Mises–Fisher Matrix Distribution in Orientation Statistics	1977	C. G. Khatri Kanti V. Mardia
+	A note on the joint distribution of correlated quadratic forms	1977	C. G. Khatri P. R. Krishnaiah Pranab Kumar Sen
+	Distribution of a quadratic form in noncentral normal vectors using generalized Laguerre polynomials	1977	C. G. Khatri
+	A note on multiple and canonical correlation for a singular covariance matrix	1976	C. G. Khatri
+	Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations	1976	C. G. Khatri Sujit Kumar Mitra
+	Characterizations of multivariate normality. I. Through independence of some statistics	1976	C. G. Khatri C. Radhakrishna Rao
+ PDF Chat	Optimality of Two and Three Factor Designs	1976	Kirti R. Shah D. Raghavarao C. G. Khatri
+	Nonnull distribution of likelihood ratio criterion for reality of covariance matrix	1976	E.M. Carter C. G. Khatri Muni S. Srivastava
+	Some probability inequalities connected with Schur functions	1975	C. G. Khatri Muni S. Srivastava
+	Exact Variance of Combined Inter- and Intra-Block Estimates in Incomplete Block Designs	1975	C. G. Khatri Kirti R. Shah
+	Distribution of a Quadratic Form in Normal Vectors	1975	C. G. Khatri
+	Characterization of Normal Law by Constancy of Regression	1975	C. G. Khatri
+	Families of Frequency Distributions	1974	C. G. Khatri J. K. Ord
+ PDF Chat	Proof of Conjectures About the Expected Values of the Elementary Symmetric Functions of a Noncentral Wishart Matrix	1974	B. K. Shah C. G. Khatri
+	ON TESTING THE EQUALITY OF LOCATION PARAMETERS IN k CENSORED EXPONENTIAL DISTRIBUTIONS	1974	C. G. Khatri
+ PDF Chat	Asymptotic Expansions of the Non-Null Distributions of Likelihood Ratio Criteria for Covariance Matrices	1974	C. G. Khatri Muni S. Srivastava
+	A note on characterization of some laws by the symmetrical distribution of one linear function given another	1974	C. G. Khatri
+	Estimation of location parameters from two linear models under normality	1974	C. G. Khatri Kirti R. Shah
+	On the exact non-null distribution of likelihood ratio criteria for covariance matrices	1973	C. G. Khatri Muni S. Srivastava
+ PDF Chat	Note: Corrections to "Further Contributions to Wishartness and Independence of Second Degree Polynomials in Normal Vectors"	1973	C. G. Khatri
+	Testing some covariance structures under a growth curve model	1973	C. G. Khatri
+	An Extension to a Method of Fitting Regression Curve E(y)=α+δx+βρx	1973	B. K. Shah C. G. Khatri
+	On the exact finite series distribution of the smallest or the largest root of matrices in three situations	1972	C. G. Khatri
+	Functional equations and characterization of probability laws through linear functions of random variables	1972	C. G. Khatri C. Radhakrishna Rao
+	On certain tests and monotonicity of their power for the parameters involved in the non-regular density functions	1971	M. C. Jaiswal C. G. Khatri
+	On Integers which are Ratios of Two Triangular Numbers	1971	C. G. Khatri A. M. Vaidya
+	Series representations of distributions of quadratic form in the normal vectors and generalised variance	1971	C. G. Khatri
+	On characterization of gamma and multivariate normal distributions by solving some functional equations in vector variables	1971	C. G. Khatri
+	Further contributions to some inequalities for normal distributions and their applications to simultaneous confidence bounds	1970	C. G. Khatri
+	Power function of the likelihood ratio test when range depends upon the parameter	1969	M. C. Jaiswal C. G. Khatri
+	Non-central distributions ofith largest characteristic roots of three matrices concerning complex multivariate normal populations	1969	C. G. Khatri
+	Progressively Censored Samples from Log-Normal and Logistic Distributions	1969	A. V. Gajjar C. G. Khatri
+	Progressively Censored Samples from Log-Normal and Logistic Distributions	1969	A. V. Gajjar C. G. Khatri
+	TESTING THE EQUALITY OF PARAMETERS IN THE DISTRIBUTIONS WHEN THE RANGE DEPENDS UPON THE PARAMETER	1969	C. G. Khatri M. C. Jaiswal
+	A note on exact moments of ARC sine correlation coefficient with the help of characteristic function	1968	C. G. Khatri
+ 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
+	Solutions to some functional equations and the applications	1968	C. G. Khatri C. R. Prasad Rao
+ PDF Chat	On the Non-Central Distributions of Two Test Criteria in Multivariate Analysis of Variance	1968	C. G. Khatri K. C. S. Pillai
+	Some characterizations of the gamma distribution	1968	C. G. Khatri C. Radhakrishna Rao
+	On the moments of traces of two matrices in multivariate analysis	1967	C. G. Khatri K. C. S. Pillai
+ PDF Chat	On Certain Inequalities for Normal Distributions and their Applications to Simultaneous Confidence Bounds	1967	C. G. Khatri
+ PDF Chat	Some Distribution Problems Connected with the Characteristic Roots of $S_1S^{-1}_2$	1967	C. G. Khatri
+	A note on a large sample distribution of a transformed multiple correlation coefficient	1966	C. G. Khatri
+	A note on a manova model applied to problems in growth curve	1966	C. G. Khatri
+ 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
+ PDF Chat	On Certain Distribution Problems Based on Positive Definite Quadratic Functions in Normal Vectors	1966	C. G. Khatri
+ PDF Chat	A note on the confidence bounds for the characteristic roots of dispersion matrices of normal variates	1965	C. G. Khatri
+ 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
+ PDF Chat	Classical Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution	1965	C. G. Khatri
+ PDF Chat	A Test for Reality of a Covariance Matrix in a Certain Complex Gaussian Distribution	1965	C. G. Khatri
+	Simultaneous confidence bounds on a set of linear functions of location parameters for dependent and independent normal variates	1964	C. G. Khatri
+	A note on the inequality of the characteristic roots of the product and the sum of two symmetric matrices	1964	C. G. Khatri
+	Monotonicity of the power functions of some tests for a particular kind of multicollinearity and unbiasedness and restricted monotoncity of the power functions of the step down procedures for MANOVA and independence	1964	C. G. Khatri
+	Estimation of Parameters of a Truncated Bivariate Normal Distribution	1963	C. G. Khatri M. C. Jaiswal
+	Estimation of Parameters of a Truncated Bivariate Normal Distribution	1963	C. G. Khatri M. C. Jaiswal
+	Distributions of order statistics for discrete case	1962	C. G. Khatri
+	A fitting procedure for a generalised binomial distribution	1962	C. G. Khatri
+ PDF Chat	Conditions for Wishartness and Independence of Second Degree Polynomials in a Normal Vector	1962	C. G. Khatri
+ PDF Chat	Correction to "On the Mutual Independence of Certain Statistics"	1961	C. G. Khatri
+	Simultaneous confidence bounds on the departures from a particular kind of multicollinearity	1961	C. G. Khatri
+	On the distributions obtained by varying the number of trials in a binomial distribution	1961	C. G. Khatri
+	Three Classes of Univariate Discrete Distributions	1961	C. G. Khatri Ishan Patel
+ PDF Chat	Distribution of a Definite Quadratic Form for Non-Central Normal Variates	1961	B. K. Shah C. G. Khatri
+	Cumulants and Higher Order Uncorrelation of Certain Functions of Normal Variates	1961	C. G. Khatri
+	On certain problems in multivariate analysis multicollinearity of means and power series distributions	1960	C. G. Khatri
+	On Testing the Equality of Parameters in<i>k</i>Rectangular Populations	1960	C. G. Khatri
+ PDF Chat	On the Mutual Independence of Certain Statistics	1959	C. G. Khatri
+ PDF Chat	On a Decision Procedure Based on the Tukey Statistic	1957	K. V. Ramachandran C. G. Khatri

Common Coauthors

Coauthor	Papers Together
C. Radhakrishna Rao	9
Muni S. Srivastava	8
M. C. Jaiswal	5
K. C. S. Pillai	5
Kirti R. Shah	4
B. K. Shah	3
Kanti V. Mardia	2
H. I. Patel	2
C. D. Bhavsar	2
A. V. Gajjar	2
Pranab Kumar Sen	2
K. V. Mardia	1
Tarmo Pukkila	1
Ishan Patel	1
George A. F. Seber	1
Rahul Mukerjee	1
T. Cacoullos	1
J. N. Srivastava	1
J. T. Kent	1
J. K. Ord	1
E.M. Carter	1
Sasanka Roy	1
C. Mallikarjuna Rao	1
Sadanori Konishi	1
M. G. Kendall	1
S. James Press	1
P. R. Krishnaiah	1
C. R. Prasad Rao	1
D. Morrison	1
Yasunori Fujikoshi	1
Rameshwar D. Gupta	1
C. R. Rao	1
D. Raghavarao	1
John Bibby	1
Anant M. Kshirsagar	1
Steven F. Arnold	1
K. Takeuchi	1
Bishwa Nath Mukherjee	1
M. L. Eaton	1
T. W. Anderson	1
E.M. Carter	1
Hamo Yanai	1
A. M. Vaidya	1
M. J. R. Healy	1
R. Gnanadesikan	1
Ravindra Khattree	1
Robb J. Muirhead	1
N. Giri	1
K. V. Ramachandran	1
Covariance Matrices	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	14
+	Some Aspects of Multivariate Analysis.	1958	S. Kullback Sasanka Roy	10
+ PDF Chat	On Certain Distribution Problems Based on Positive Definite Quadratic Functions in Normal Vectors	1966	C. G. Khatri	8
+	An Introduction to Multivariate Statistical Analysis	1986	Robb J. Muirhead T. W. Anderson	8
+ PDF Chat	Classical Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution	1965	C. G. Khatri	7
+ PDF Chat	Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction)	1963	N. R. Goodman	7
+	A note on a manova model applied to problems in growth curve	1966	C. G. Khatri	5
+ PDF Chat	On a Heuristic Method of Test Construction and its use in Multivariate Analysis	1953	Sasanka Roy	5
+ PDF Chat	Series Representations of Distributions of Quadratic Forms in Normal Variables II. Non-Central Case	1967	Samuel Kotz Norman L. Johnson David W. Boyd	5
+ 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	5
+ 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	5
+	Linear Statistical Inference and its Applications.	1974	P. Sprent C. Radhakrishna Rao	4
+ PDF Chat	Some Non-Central Distribution Problems in Multivariate Analysis	1963	A. G. Constantine	4
+	Introduction to Multivariate Statistical Analysis.	1959	William G. Madow T. W. Anderson	4
+	On some distribution problems in multivariate analysis	1954	K. C. S. Pillai Sreedharan	4
+ PDF Chat	Some New Test Criteria in Multivariate Analysis	1955	K. C. S. Pillai	4
+	Combining Unbiased Estimators	1959	Franklin A. Graybill Roy B. Deal	4
+ PDF Chat	Distribution of Definite and of Indefinite Quadratic Forms	1955	John Gurland	4
+	Functional equations and characterization of probability laws through linear functions of random variables	1972	C. G. Khatri C. Radhakrishna Rao	4
+	A generalized multivariate analysis of variance model useful especially for growth curve problems	1964	Richard F. Potthoff Sasanka Roy	4
+ PDF Chat	Distribution of Definite and of Indefinite Quadratic Forms from a Non- Central Normal Distribution	1963	B. K. Shah	4
+ PDF Chat	Some Results Useful in Multivariate Analysis	1956	K. C. S. Pillai	4
+ PDF Chat	Conditions for Wishartness and Independence of Second Degree Polynomials in a Normal Vector	1962	C. G. Khatri	4
+	An Introduction to Multivariate Statistics.	1980	M. J. R. Healy Muni S. Srivastava C. G. Khatri	4
+ PDF Chat	Note on the Distribution of a Definite Quadratic Form	1955	James Pachares	4
+ PDF Chat	The Distribution of a Definite Quadratic Form	1948	Herbert Robbins	4
+	Estimation of location parameters from two linear models under normality	1974	C. G. Khatri Kirti R. Shah	4
+ PDF Chat	Distribution of a Definite Quadratic Form for Non-Central Normal Variates	1961	B. K. Shah C. G. Khatri	4
+	A remark on the necessary and suffcient conditions for a quadratic form to be distributed as chi-squared	1978	C. G. Khatri	3
+ PDF Chat	The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities	1955	T. W. Anderson	3
+	Spherical Matrix Distributions and a Multivariate Model	1977	A. P. Dawid	3
+	On certain problems in multivariate analysis multicollinearity of means and power series distributions	1960	C. G. Khatri	3
+	An Introduction to Multivariate Statistical Analysis.	1985	C. J. Skinner T. W. Anderson	3
+	The inefficiency of least squares	1975	Peter Bloomfield Geoffrey S. Watson	3
+ PDF Chat	A Characterization of the Multivariate Normal Distribution	1962	S. G. Ghurye Ingram Olkin	3
+	Generalized Inverse of Matrices and Its Applications	1973	K. S. Banerjee	3
+ PDF Chat	A Multivariate Gamma-Type Distribution	1951	A. S. Krishnamoorthy M. Parthasarathy	3
+ PDF Chat	A Test for Reality of a Covariance Matrix in a Certain Complex Gaussian Distribution	1965	C. G. Khatri	3
+ PDF Chat	A New Result on the Distribution of Quadratic Forms	1963	Harold Ruben	3
+ PDF Chat	Point and Confidence Estimation of a Common Mean and Recovery of Interblock Information	1974	L. D. Brown Arthur Cohen	3
+	On the minimum efficiency of least squares	1975	M. Knott	3
+ PDF Chat	Distribution Theory of a Positive Definite Quadratic Form with Matrix Argument	1970	B. K. Shah	3
+	On the distribution of a quadratic form in a multivariate normal sample	1966	Takesi Hayakawa	3
+ PDF Chat	The Non-Central Wishart Distribution and Certain Problems of Multivariate Statistics	1946	T. W. Anderson	3
+	Statistical Tables for Tests of Multivariate Hypotheses.	1961	W. G. M. K. C. S. Pillai	3
+ PDF Chat	On the Independence of Certain Wishart Variables	1963	Robert V. Hogg	2
+ PDF Chat	Calculation of Zonal Polynomial Coefficients by Use of the Laplace-Beltrami Operator	1968	A. T. James	2
+ PDF Chat	On the Moments of Elementary Symmetric Functions of the Roots of Two Matrices	1964	K. C. Sreedharan Pillai	2
+	Exact Variance of Combined Inter- and Intra-Block Estimates in Incomplete Block Designs	1975	C. G. Khatri Kirti R. Shah	2
+ PDF Chat	Estimation of the Means of Dependent Variables	1958	Olive Jean Dunn	2