Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability. Volume 4 : Biology and Problems of Health / Lucien M. Le Cam, Jerzy Neyman.

Format:

Book

Author/Creator:

Le Cam, Lucien M., author.

Neyman, Jerzy, author.

Series:

UC Press voices revived.

UC Press voices revived

Language:

English

Subjects (All):

Mathematical ability.

Physical Description:

1 online resource (500 pages).

Other Title:

Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Volume 4

Place of Publication:

London : University of California Press, 1967.

Summary:

This title is part of UC Press's Voices Revived program, which commemorates University of California Press's mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1967.

Contents:

Table of Contents

Front Matter(pp. i-x)

PREFACE(pp. xi-xiv)

Table of Contents(pp. xv-xvi)

ACCESSIBLE TERMINAL TIMES(pp. 1-8)

FIRST EXIT TIMES FROM A SQUARE ROOT BOUNDARY(pp. 9-16)

GENERAL LATERAL CONDITIONS FOR SOME DIFFUSION PROCESSES(pp. 17-50)

THE MARTIN BOUNDARY OF RECURRENT RANDOM WALKS ON COUNTABLE GROUPS(pp. 51-74)

The author is obliged to Professor Spitzer for several discussions on the subject matter of this paper.

An outline ...

APPLICATION OF ADDITIVE FUNCTIONALS TO THE BOUNDARY PROBLEM OF MARKOV PROCESSES (LÉVY'S SYSTEM OF U-PROCESSES)(pp. 75-110)

A SURVEY ON THE MARKOV PROCESS ON THE BOUNDARY OF MULTI-DIMENSIONAL DIFFUSION(pp. 111-130)

SOME THEOREMS CONCERNING RESOLVENTS OVER LOCALLY COMPACT SPACES(pp. 131-164)

ON MARKOV GROUPS(pp. 165-174)

SOME PROBLEMS RELATING TO MARKOV GROUPS(pp. 175-186)

UNIFORM ERGODICITY IN MARKOV CHAINS(pp. 187-192)

ON QUASI-COMPACT PSEUDO-RESOLVENTS(pp. 193-196)

A NOTE ON MARKOV SEMIGROUPS WHICH ARE COMPACT FOR SOME BUT NOT ALL t > 0(pp. 197-200)

The following three statements are correct.

(i) If, for some t > 0, Pt is quasi-compact, then it is quasi-compact for all t > 0.

(ii) [(iii)] If, for some λ > 0, λRλ is compact [quasi-compact], then it is compact [quasi-compact] for all λ > 0.

SOME LOCAL PROPERTIES OF MARKOV PROCESSES(pp. 201-212)

A LIMIT THEOREM FOR INDEPENDENT RANDOM VARIABLES(pp. 213-216)

ON LOCAL AND RATIO LIMIT THEOREMS(pp. 217-224)

LIMITING DISTRIBUTIONS FOR BRANCHING PROCESSES(pp. 225-242)

UNIQUENESS OF STATIONARY MEASURES FOR BRANCHING PROCESSES AND APPLICATIONS(pp. 243-254)

SOME PECULIAR SEMI-MARKOV PROCESSES(pp. 255-264)

For the present note we shall suppose that we are given

(i) the transition matrix ∥pij∥ of an irreducible and recurrent Markov chain of, possibly, infinitely many states;

(ii) a sequence {Ωi(x)} of proper distribution functions of nonnegative random variables and such that there is at least one i such that Ωi,(0+) < 1.

A THEOREM ON FUNCTIONS OF CHARACTERISTIC FUNCTIONS AND ITS APPLICATION TO SOME RENEWAL THEORETIC RANDOM WALK PROBLEMS(pp. 265-310)

RENEWAL THEOREMS FOR MARKOV CHAINS(pp. 311-320)

RANDOM MEASURE PRESERVING TRANSFORMATIONS(pp. 321-326)

ROOTS OF THE ONE-SIDED N-SHIFT(pp. 327-334)

A GEOMETRIC CONSTRUCTION OF MEASURE PRESERVING TRANSFORMATIONS(pp. 335-360)

CONSERVATIVE POSITIVE CONTRACTIONS IN L¹(pp. 361-374)

ON POINCARÉ'S RECURRENCE THEOREM(pp. 375-404)

ERGODIC THEORY OF SHIFT TRANSFORMATIONS(pp. 405-414)

CLASSIFICATION OF STATES FOR OPERATORS(pp. 415-430)

STRONG MIXING PROPERTIES OF MARKOV CHAINS WITH INFINITE INVARIANT MEASURE(pp. 431-446)

INVARIANT MEASURES ON PRODUCT SPACES(pp. 447-460)

EXISTENCE OF BOUNDED INVARIANT MEASURES IN ERGODIC THEORY(pp. 461-472)

TRANSITION PROBABILITY OPERATORS(pp. 473-484)

TRANSITION PROBABILITY OPERATORS.

Notes:

Description based on publisher supplied metadata and other sources.

Includes bibliographical references.