Annals of the Institute of Statistical Mathematics

1949 - 2025

Current editor(s): Tomoyuki Higuchi

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Volume 21, issue 1, 1969

On the distribution of the latent roots of a positive definite random symmetric matrix I pp. 1-21

Takesi Hayakawa

Non-central distributions ofith largest characteristic roots of three matrices concerning complex multivariate normal populations pp. 23-32

C. Khatri

Testing for equality of means, equality of variances, and equality of covariances under restrictions upon the parameter space pp. 33-48

Leon Gleser and Ingram Olkin

Power comparisons of tests of two multivariate hypotheses based on individual characteristic roots pp. 49-66

K. Sreeharan Pillai and Charles Dotson

A note on the non-null distribution of the Wilks statistic in MANOVA pp. 67-71

Y. Asoh and Masashi Okamoto

Nonparametric estimation in Markov processes pp. 73-87

George Roussas

On some model of queueing system with state-dependent service time distributions pp. 89-106

Tosio Uematu

Estimators for the parameters of a finite mixture of distributions pp. 107-116

Keewhan Choi

Empirical Bayes procedure for (pattern) classification with stochastic learning pp. 117-125

Keewhan Choi

Power function of the likelihood ratio test when range depends upon the parameter pp. 127-136

M. Jaiswal and C. Khatri

On testing the equality of parameters ink triangular populations with unequal observations pp. 137-148

C. Khatri and M. Jaiswal

Procedures for a best population problem when the criterion of bestness involves a fixed tolerance region pp. 149-161

Irwin Guttman and Roy Milton

On the asymptotic theory of rank order tests for experiments involving paired comparisons pp. 163-173

Madan Puri and Pranab Sen

On ergodic probability measures pp. 175-183

Nozomu Matubara

Finite and infinite invariant measures for a measurable transformation pp. 185-193

Yoshihiro Kubokawa

Remarks on finite invariant measures for one-parameter group of measurable transformations pp. 195-200

Yoshihiro Kubokawa

Distribution of product and quotient of Bessel function variates pp. 201-210

Samuel Kotz and R. Srinivasan

Fixed precision estimation in the class of IFR distribution pp. 211-213

J. Blum and Judah Rosenblatt

The calculation of cumulants via conditioning pp. 215-218

David Brillinger

A note on exponential bounds for binomial probabilities pp. 219-220

Olaf Krafft

On the distribution of the maximum latent root of a positive definite symmetric random matrix pp. 221-221

Takesi Hayakawa

Corrections to “On the empirical Bayes procedure (1)” pp. 223-223

Hirosi Hudimoto

A method of statistical identification of discrete time parameter linear systems pp. 225-242

Hirotugu Akaike

Fitting autoregressive models for prediction pp. 243-247

Hirotugu Akaike

On the estimation of the population mean based on ordered samples from an equicorrelated multivariate distribution pp. 249-255

Koiti Takahasi

The asymptotic joint distribution of an increasing number of sample quantiles pp. 257-263

Lionel Weiss

Monotonicity of rank order likelihood ratio pp. 265-275

K. Lal Saxena and I. Savage

A generalized monotone character of d.f.’S and moments of statistics from some well-known populations pp. 277-285

Govind Mudholkar

Asymptotic independence between largest and smallest of a set of independent observations pp. 287-289

John Walsh

A representation of Bayes invariant procedures in terms of Haar measure pp. 291-308

James Zidek

On the moments of elementary symmetric functions of the roots of two matrices pp. 309-320

K. Sreedharan Pillai and Gary Jouris

Non-central distributions of the largest latent roots of three matrices in multivariate analysis pp. 321-327

K. Pillai and T. Sugiyama

On nonparametricT-method of multiple, comparisons for randomized blocks pp. 329-333

Pranab Sen

Some non-orthogonal unsaturated main effect and resolution V plans derived from a one-restrictional lattice pp. 335-342

B. Raktoe and W. Federer

A note on weighing designs pp. 343-346

A. Dey

On the ε-entropy of diffusion processes pp. 347-356

Kimio Kazi

Investigation of the mean waiting time for queueing system with many servers pp. 357-366

Toji Makino

A queueing system with several types of customers pp. 367-371

D. Shanbhag

On the significance level of preliminary tests in some “TE” procedures pp. 373-376

A. Gun

On the stability of multisectoral growth equilibrium pp. 377-390

Ken-ichi Inada

Characteristic functions satisfying a functional equation (II) pp. 391-405

Ryoichi Shimizu

Power spectrum estimation through autoregressive model fitting pp. 407-419

Hirotugu Akaike

Toward the mathematics of a general theory of behavior, 1 The lattice צ 0 pp. 421-456

Edward Barankin

Locally averaged risk pp. 457-469

Khursheed Alam and James Thompson

Optimality of unbiased predictors pp. 471-488

Goro Ishii

Partial orderings of permutations and monotonicity of a rank correlation statistic pp. 489-506

Takemi Yanagimoto and Masashi Okamoto

On the costwise optimality of hierarchical multiresponse randomized block designs under the trace criterion pp. 507-514

J. Srivastava and L. McDonald

Optimum stratification pp. 515-528

Ravindra Singh and B. Sukhatme

A characterization of the normal law pp. 529-532

R. Pakshirajan and N. Mohan

A remark on the incomparability of two criteria for a uniform convergence of probability measures pp. 533-536

Sadao Ikeda

Boundedness of a measurable transformation and a weakly wandering set pp. 537-540

Yoshihiro Kubokawa

Some known results concerning zero-one sets pp. 541-545

Morris Skibinsky

A note on limiting distributions of some Rényi-type statistics pp. 547-550

B. Lientz

Some distribution problems of order statistics from discrete populations pp. 551-556

D. Kabe