P. R. Krishnaiah

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Upper Percentage Points of the Individual Roots of the Wishart Matrix

D. S. Clemm, A. K. Chattopadhyay, P. R. Krishnaiah, 1972 .

Multivariate Analysis IV

P. R. Krishnaiah, 1977 .

Developments in Statistics

P. R. Krishnaiah, W. D. Ray, W. D. Ray, 1979 .

Handbook of Statistics. Vol. 3: Time Series in the Frequency Domain.

D. R. Brillinger, P. R. Krishnaiah, 1986 .

Handbook of Statistics 7: Quality Control and Reliability

Kk, P. R. Krishnaiah, 1998 .

Multivariate Analysis VI.

Chris Chatfield, C. Chatfield, P. Krishnaiah, 1987 .

Time series in the frequency domain

David R. Brillinger, G. J. Janacek, D. Brillinger, 1985 .

Handbook of Statistics, Vol. 1: Analysis of Variance.

S. C. Pearce, S. Pearce, P. R. Krishnaiah, 1982 .

Handbook of Statistics, Vol. 4. Nonparametric Methods.

P. K. Sen, P. Sen, P. Krishnaiah, 1987 .

Multivariate Analysis V.

P. K. Sen, P. Sen, P. Krishnaiah, 1982 .

Handbook of Statistics, Vol. 2. Classification, Pattern Recognition and Reduction of Dimensionality.

L. N. Kanal, P. R. Krishnaiah, A. D. Gordon, 1985 .

Tables for the extreme roots of the wishart matrix

P. Krishnaiah, V. B. Waikar, D. S. Clemm, 1973 .

Tables for the distribution of the maximum of correlated chi-square variates with one degree of freedom

J. V. Armitage, P. Krishnaiah, P. R. Krishnaiah, 1965 .

On the Limiting Empirical Distribution Function of the Eigenvalues of a Multivariate F Matrix

Z. D. Bai, Z. Bai, Y. Yin, 1988 .

Handbook of Statistics 4: Nonparametric Methods.

P. K. Sen, D. D. V. Morgan, P. Sen, 1986 .

Tables for the moments of gamma order statistics

P. R. Krishnaiah, M. C. Breiter, M. Breiter, 1967 .

Theory of Multidimensional Scaling

L. N. Kanal, L. Kanal, P. Krishnaiah, 2005 .

A note on the joint distribution of correlated quadratic forms

Pranab Kumar Sen, C. G. Khatri, P. Sen, 1977 .

Simultaneous tests for equality of latent roots against certain alternatives—I

V. B. Waikar, P. R. Krishnaiah, 1971 .

On limiting spectral distribution of product of two random matrices when the underlying distribution is isotropic

Z. Bai, Y. Yin, P. Krishnaiah, 1986 .

A Note on the Bivariate Chi Distribution

Leon Steinberg, Peter Hagis, P. Krishnaiah, 1963 .

Quality Control and Reliability.

Calyampudi Radhakrishna Rao, A. Veevers, P. R. Krishnaiah, 1989 .

On the distribution of a linear combination correlated quadratic forms

P. Krishnaiah, P. R. Krishnaiah, V. B. Walkar, 1973 .

25 Inference on the structure of interaction in two-way classification model

P. Krishnaiah, P. R. Krishnaiah, M. G. Yochmowitz, 1980 .

10 Transformations to normality

L. Steinberg, B. Kolman, B. Kolman, 1980 .

On the exact distribution of the smallest root of the wishart matrix using zonal polynomials

P. Krishnaiah, T. C. Chang, P. R. Krishnaiah, 1971 .

Analysis of Complex Contingency Data

E. Paul Torrance, P. R. Krishnaiah, Cyril J. Hoyt, 1959 .

On the distributions of the ratios of the extreme roots to the trace of the Wishart matrix

P. Krishnaiah, F. J. Schuurmann, A. K. Chattopadhyay, 1973 .

The Finite Intersection Test: A New Multivariate Statistical Technique Applicable to the Evaluation of Complex Systems

John M. Reising, P. R. Krishnaiah, 1980 .

Handbook of Statistics 5: Time Series in the Time Domain.

Neville Davies, E. J. Hannan, M. M. Rao, 1986 .

Simultaneous tests for equality of latent roots against certain alternatives-II

P. Krishnaiah, V. B. Waikar, P. R. Krishnaiah, 1971 .

Reconstruction of the shape and size of objects from two orthogonal projections

Z. D. Bai, C. R. Rao, P. R. Krishnaiah, 1989 .

Strong Consistency of Maximum Likelihood Parameter Estimation of Superimposed Exponential Signals in Noise.

Yuehua Wu, Z. D. Bai, P. R. Krishnaiah, 1992 .

Some recent developments on complex multivariate distributions

P. Krishnaiah, P. R. Krishnaiah, 1976 .

Time series in the time domain

E. J. Hannan, M. M. Rao, E. Hannan, 1986 .

Handbook of Statistics, Vol. 6: Sampling.

Calyampudi Radhakrishna Rao, R. M. Cormack, Calyampudi R. Rao, 1990 .

On detection of the number of signals when the noise covariance matrix is arbitrary

Z. Bai, L. Zhao, P. Krishnaiah, 1986 .

On the Distribution of a Linear Combination of Correlated Quadratic Forms

V. B. Waikar, P. R. Krishnaiah, 1973 .

Classification, Pattern Recognition and Reduction of Dimensionality

Laveen N. Kanal, P. R. Krishnaiah, L. Kanal, 1982, Handbook of Statistics.

Single-sample method for the estimation of glomerular filtration rate in children.

W. N. Tauxe, P. R. Krishnaiah, A. Bagchi, 1987, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

Quality control and reliability: Handbook of statistics ; volume 7

P. R. Krishnaiah, C. R. Rao, P. R. Krishnaiah, 1991 .

On the limit of the largest eigenvalue of the large dimensional sample covariance matrix

Z. Bai, Y. Yin, P. Krishnaiah, 1988 .

On Limit of the Largest Eigenvalue of the Large Dimensional Sample Covariance Matrix.

Z. Bai, Y. Yin, P. Krishnaiah, 1984 .

On rates of convergence of efficient detection criteria in signal processing with white noise

Zhi-Dong Bai, Paruchuri R. Krishnaiah, Lin-Cheng Zhao, 1989, IEEE Trans. Inf. Theory.

Multivariate Analysis III.

P. Krishnaiah, Paruchuri R. Krishnaiah, P. R. Krishnaiah, 1975 .

On Covariance Structures.

P. Krishnaiah, Jack C. Lee, P. R. Krishnaiah, 1975 .

Applications of Statistics

P. R. Krishnaiah, J. Ware, P. Krishnaiah, 1978 .

Asymptotic distributions of functions of the eigenvalues of some random matrices for nonnormal populations

P. Krishnaiah, P. R. Krishnaiah, C. Fang, 1982 .

On the asymptotic joint distributions of certain functions of the eigenvalues of four random matrices

Jack C. Lee, P. R. Krishnaiah, 1979 .

Some Recent Developments on Real Multivariate Distributions* *Part of this work was sponsored by the Air Force Flight Dynamics Laboratory, Air Force Systems Command, United States Air Force under Grant AFOSR 77-3239.

P. R. Krishnaiah, P. Krishnaiah, P. R. Krishnaiah, 1978 .

On detection of the number of signals in presence of white noise

Z. Bai, L. Zhao, P. Krishnaiah, 1985 .

Remarks on a Multivariate Gamma Distribution

P. Krishnaiah, M. Rao, P. R. Krishnaiah, 1961 .

Remarks on certain criteria for detection of number of signals

Zhi-Dong Bai, Paruchuri R. Krishnaiah, Lin-Cheng Zhao, 1987, IEEE Trans. Acoust. Speech Signal Process..

On Limiting Empirical Distribution Function of the Eigenvalues of a Multivariate F Matrix. Revised.

Z. Bai, Y. Yin, P. R. Krishnaiah, 1984 .

Densitometry improves the accuracy of volumes estimated by geometrical biplane integration method

P. S. Reddy, Z. Bai, Yung-Nien Sun, 1987 .

41 Selection of variables in discriminant analysis

P. R. Krishnaiah, P. Krishnaiah, P. R. Krishnaiah, 1982, Classification, Pattern Recognition and Reduction of Dimensionality.

The distributions of the likelihood ratio statistics for tests of certain covariance structures of complex multivariate normal populations

P. Krishnaiah, Jack C. Lee, Ting‐Chang Chang, 1976 .

Likelihood ratio tests on covariance matrices and mean vectors of complex multivariate normal populations and their applications in time series

P. Krishnaiah, T. C. Chang, P. R. Krishnaiah, 1983 .

16 Likelihood ratio tests for mean vectors and covariance matrices

P. Krishnaiah, Jack C. Lee, P. R. Krishnaiah, 1980 .

36 Tables for order statistics

P. R. Krishnaiah, Pranab Kumar Sen, P. Sen, 1984, Nonparametric Methods.

24 Computations of some multivariate distributions

P. Krishnaiah, P. R. Krishnaiah, 1980 .

Some Developments on Simultaneous Test Procedures† †Part of this work was sponsored by the Air Force Flight Dynamics Laboratory, Air Force Systems Command under Grant AFOSR 77-3239.

P. R. Krishnaiah, P. Krishnaiah, P. R. Krishnaiah, 1979 .

On tests for selection of variables and independence under multivariate regression models

Y. Fujikoshi, T. Kariya, P. R. Krishnaiah, 1987 .

Asymptotic Distributions of Functions of the Eigenvalues of the Real and Complex Noncentral Wishart Matrices

P. R. Krishnaiah, C. Fang, 1980 .

37 Selected tables for nonparametric statistics

P. R. Krishnaiah, P. K. Sen, P. Sen, 1984, Nonparametric Methods.

Exact percentage points of the dsitribtuion of the race of a multivariate beta matrix

F. J. Schuurmann, A. K. Chattopadhyay, P. R. Krishnaiah, 1975 .

On the Asymptotic Joint Distributions of the Eigenvalues of Random Matrices Which Arise under Components of Covariance Model.

Z. Bai, L. Zhao, P. Krishnaiah, 1987 .

Asymptotic distributions of the likelihood ratio test statistics for covariance structures of the complex multivariate normal distributions

P. Krishnaiah, B. N. Nagarsenker, P. R. Krishnaiah, 1982 .

Asymptotic Distribution of the Likelihood Ratio Test Statistic for Sphericity of Complex Multivariate Normal Distribution.

P. Krishnaiah, B. N. Nagarsenker, P. R. Krishnaiah, 1981 .

Cluster formation and diagnostic significance in psychiatric symptom evaluation

P. Krishnaiah, G. Kaskey, A. Azzari, 1899, AFIPS '62 (Fall).

Simultaneous Tests for the Equality of Covariance Matrices Against Certain Alternatives

P. Krishnaiah, P. R. Krishnaiah, 1968 .

Selection procedures based on covariance matrices of multivariate normal populations

P. R. Krishnaiah, 1967 .

SIMULATNEOUS TESTS FOR THE EQUALITY OF VARIANCES AGAINST CERTAIN ALTERNATIVES1

P. Krishnaiah, P. R. Krishnaiah, 1965 .

Detecting and Interval Estimation About a Slope Change Point.

B. Miao, P. R. Krishnaiah, 1987 .

Tests for sphericity under correlated multivariate regression equations model

P. R. Krishnaiah, S. Sarkar, 1987 .

Inference on Parameters of Multivariate Normal Populations When Some Data is Missing

Calyampudi R. Rao, P. Krishnaiah, T. Kariya, 1983 .

On Asymptotic Joint Distribution of the Eigenvalues of the Noncentral Manova Matrix for Nonnormal Populations.

Z. Bai, P. R. Krishnaiah, W. Q. Liang, 1984 .

Nonparametric iterative estimation of multivariate binary density

Wen-Qi Liang, P. R. Krishnaiah, P. R Krishnaiah, 1985 .

ON ASYMPTOTIC DISTRIBUTIONS OF TEST STATISTICS FOR COVARIANCE MATRICES AND CORRELATION MATRICES

P. R. Krishnaiah, C. Fang, 1983 .

Multivariate Analysis and Its Applications

C. Raghavendra Rao, P. R. Krishnaiah, P R Krishnaiah, 1984 .

Statistics and probability : essays in honor of C.R. Rao

C. Radhakrishna Rao, J. K. Ghosh, G. Kallianpur, 1983 .

Approximations to the Distributions of the Likelihood Ratio Statistics for Testing Certain Structures on the Covariance Matrices of Real Multivariate Normal Populations

P. Krishnaiah, T. C. Chang, P. R. Krishnaiah, 1975 .

On the evaluation of some distributions that arise in simultaneous tests for the equality of the latent roots of the covariance matrix

P. Krishnaiah, F. J. Schuurmann, P. R. Krishnaiah, 1974 .

Reduction of Dimensionality

P. Krishnaiah, P. R. Krishnaiah, Z. Bai, 2003 .

On the Exact Joint Distributions of the Extreme Roots of the Complex Wishart and Multivariate Beta Matrices.

F. J. Schuurmann, P. R. Krishnaiah, 1974 .

On the Exact Distributions of the Individual Roots of the Complex Wishart and Multivariate Beta Matrices.

F. J. Schuurmann, P. R. Krishnaiah, 1974 .

Exact joint distributions of any few ordered roots of a class of random matrices

V. B. Waikar, P. R. Krishnaiah, 1971 .

On the exact distributions of the extreme roots of the Wishart and MANOVA matrices

P. Krishnaiah, T. C. Chang, P. R. Krishnaiah, 1971 .

On a class of simultaneous rank order tests in MANOCOVA

P. Krishnaiah, P. R. Krishnaiah, P. K. Sen, 1974 .

THE BIVARIATE CHI DISTRIBUTION

P. R. Krishnaiah, P. Hagis, L. Steinberg, 1961 .

Tables for a Multivariate F Distribution.

F. J. Schuurmann, A. K. Chattopadhyay, P. R. Krishnaiah, 1973 .

A structure theorem on bivariate positive quadrant dependent distributions and tests for independence in two-way contingency tables

K. Subramanyam, P. Krishnaiah, P. R. Krishnaiah, 1987 .

On asymptotic distribution of the test statistic for the mean of the non-isotropic principal component

P. R. Krishnaiah, C. Fang, 1986 .

Asymptotic Joint Distribution of Functions of the Elements of Sample Covariance Matrix.

P. Krishnaiah, P. R. Krishnaiah, C. Fang, 1980 .

On Some Noncentral Distributions in Multivariate Analysis

A. K. Chattopadhyay, P. R. Krishnaiah, 1972 .

Asymptotic distributions of the sphericity test in a complex multivariate normal distribution

P. Krishnaiah, B. N. Nagarsenker, P. R. Krishnaiah, 1983 .

On the simultaneous anova and manova tests

P. Krishnaiah, P. R. Krishnaiah, 1965 .

Normalizing transformations of some statistics of Gaussian ARMA processes

P. R. Krishnaiah, M. Taniguchi, R. Chao, 1989, Annals of the Institute of Statistical Mathematics.

Principal Component Analysis Under Correlated Multivariate Regression Equations Model.

P. R. Krishnaiah, S. Sarkar, 1985 .

Tests for independence of two multivariate regression equations with different design matrices

P. Krishnaiah, Y. Fujikoshi, T. Kariya, 1984 .

On some nonparametric methods for detection of the number of signals

Paruchuri R. Krishnaiah, Y. Q. Yin, Y. Yin, 1987, IEEE Trans. Acoust. Speech Signal Process..

Some tests with unbalanced data from a bivariate normal population

P. R. Krishnaiah, S. Sarkar, B. K. Sinha, 1983 .

Limit Theorem for the Eigenvalues of the Sample Covariance Matrix when the Underlying Distribution is Isotropic

Y. Yin, P. Krishnaiah, P. R. Krishnaiah, 1986 .