Sommaire du Fascicule no. 6

Notes: Addendum to "The Annals of Probability, Contents of Volume 1 1973."

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On Random Indices and Limit Distributions

Haan, Laurens De

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Notes: Acknowledgment of Priority to "Random Variables with Independent Binary Digits"

Marsaglia, George

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Correction Note: Correction to "A Note on Fine's Axioms for Qualitative Probability"

Roberts, Fred S.

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Optimal Stopping in the Stock Market

Griffeath, David ; Snell, J. Laurie

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p. 1-13

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Limit Theorems for Some Stochastic Evolution Models

Guess, Harry A.

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p. 14-31

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A Random Walk with Nearly Uniform $N$-Step Motion

Myers, Lawrence E.

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p. 32-39

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On the Weak Convergence of Interpolated Markov Chains to a Diffusion

Kushner, Harold J.

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p. 40-50

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Notes on Constructive Probability Theory

Chan, Y. K.

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p. 51-75

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A Note on the Strong Convergence of $\Sigma$-Algebras

Kudo, Hirokichi

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p. 76-83

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The Martintote

Greenwood, Priscilla

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p. 84-89

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Weak Convergence of Generalized $U$-Statistics

Sen, Pranab Kumar

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p. 90-102

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The Limiting Distribution of Maxima of Random Variables Defined on a Denumerable Markov Chain

O'Brien, George

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p. 103-111

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Mixtures of Distributions, Moment Inequalities and Measures of Exponentiality and Normality

Keilson, Julian ; Steutel, F. W.

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p. 112-130

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On Constructive Convergence of Measures on the Real Line

Chan, Y. K.

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p. 131-135

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Weak Convergence of Certain Vectorvalued Measures

Ressel, Paul

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p. 136-142

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Groups of Transformations without Finite Invariant Measures Have Strong Generators of Size 2

Kuntz, Amy J.

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p. 143-146

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Weak Convergence of Multidimensional Empirical Processes for Stationary $\phi$-Mixing Processes

Sen, Pranab Kumar

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p. 147-154

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A New Formula for $P(R_i \leqq b_i, 1 \leqq i \leqq m \mid m, n, F = G^k)$

Steck, G. P.

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p. 155-160

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On a Set of Almost Deterministic $k$-Independent Random Variables

Joffe, A.

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p. 161-162

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Nearest Random Variables with Given Distributions

Schay, Geza

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p. 163-166

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A Stable Local Limit Theorem

Mineka, J.

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p. 167-172

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On Symmetric Moments and Local Behavior of the Characteristic Function

Maller, R. A.

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p. 173-177

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On the Convergence of Poisson Binomial to Poisson Distributions

Chen, Louis H. Y.

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p. 178-180

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Tailfree and Neutral Random Probabilities and Their Posterior Distributions

Doksum, Kjell

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p. 183-201

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On the Functional Form of the Law of the Iterated Logarithm for the Partial Maxima of Independent Identically Distributed Random Variables

Wichura, Michael J.

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p. 202-230

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Limiting Behavior of Maxima in Stationary Gaussian Sequences

Mittal, Yash

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p. 231-242

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On Stability for Optimization Problems

Dubins, Lester E. ; Meilijson, Isaac

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p. 243-255

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The Poisson Approximation for Dependent Events

Freedman, David

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p. 256-269

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Density Versions of the Univariate Central Limit Theorem

Basu, Sujit K.

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p. 270-276

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On the Moments and Limit Distributions of Some First Passage Times

Gut, Allan

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p. 277-308

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Optimal Stopping Variables for Stochastic Process with Independent Increments

Walker, LeRoy H.

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p. 309-316

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Optimal Stopping Variables for Brownian Motion

Walker, LeRoy H.

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p. 317-320

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On Convergence in $r$-Mean of Some First Passage Times and Randomly Indexed Partial Sums

Gut, Allan

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p. 321-323

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A Remark on the Strong Law

Freedman, David

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p. 324-327

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An Iterated Logarithm Result for Autocorrelations of a Stationary Linear Process

Heyde, C. C.

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p. 328-332

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The Rosenblatt Mixing Condition and Bernoulli Shifts

Martin, N. F. G.

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p. 333-338

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Functionals of Critical Multitype Branching Processes

Athreya, K. ; Ney, P.

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p. 339-343

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Almost Sure Convergence of Branching Processes in Varying and Random Environments

Lindvall, Torgny

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p. 344-346

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A Simple proof of a Known Result in Random Walk Theory

Lemoine, Austin J.

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p. 347-348

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Results on Probabilities of Moderate Deviations

Michel, R.

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p. 349-353

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Renewal Theory for Functionals of a Markov Chain with General State Space

Kesten, Harry

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p. 355-386

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Berry-Esseen Estimates in Hilbert Space and an Application to the Law of the Iterated Logarithm

Kuelbs, J. ; Kurtz, T.

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p. 387-407

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Sensitive Discount Optimality in Controlled One-Dimensional Diffusions

Puterman, Martin L.

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p. 408-419

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Sojourn Time Problems

Takacs, Lajos

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p. 420-431

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Limit Theorems for Delayed Sums

Lai, Tze Leung

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p. 432-440

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Some Results about Multidimensional Branching Processes with Random Environments

Kaplan, Norman

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p. 441-455

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On Lebesgue-like Extensions of Finitely Additive Measures

Dubins, Lester E.

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p. 456-463

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On Quasi-Compact Markov Operators

Lin, Michael

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p. 464-475

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A Note on Separable Stochastic Processes

Billingsley, Patrick

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p. 476-479

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Conditional Distributions and Tightness

Billingsley, Patrick

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p. 480-485

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Uniform Inequalities for Conditional Expectations

Rogge, L.

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p. 486-489

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Convexity and Conditional Expectations

Pfanzagl, J.

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p. 490-494

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Mixtures of Perfect Probability Measures

Ramachandran, D.

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p. 495-500

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Generalized Distribution Functions: The Linearly Ordered Case with Applications to Nonparametric Statistics

Simons, Gordon

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p. 501-508

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A Note on the Supercritical Branching Processes with Random Environments

Kaplan, Norman

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p. 509-514

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Asymptotic Distributions for Occupancy and Waiting Time Problems with Positive Probability of Falling Through the Cells

Samuel-Cahn, Ester

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p. 515-521

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$L_1$ Bounds for Asymptotic Normality of $m$-Dependent Sums Using Stein's Technique

Erickson, R. V.

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p. 522-529

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On the Approximation of Stationary Measures by Periodic and Ergodic Measures

Kieffer, J. C.

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p. 530-534

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A Note on the Asymptotic Independence of High Level Crossings for Dependent Gaussian Processes

Lindgren, Georg

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p. 535-539

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Limit Theorems for the Maximum Term of a Stationary Process

O'Brien, G. L.

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p. 540-545

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On the Divergence of a Certain Random Series

Koopmans, L. H. ; Martin, N. ; Pathak, P. K. ; Qualls, C.

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p. 546-550

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On Almost Sure Convergence of Quadratic Brownian Variation

de La Vega, W. Fernandez

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p. 551-552

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Strong and Weak Limit Points of a Normalized Random Walk

Erickson, K. Bruce ; Kesten, Harry

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p. 553-579

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Random Stirring of the Real Line

Lee, Wang Chung

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p. 580-592

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"Normal" Distribution Functions on Spheres and the Modified Bessel Functions

Hartman, Philip ; Watson, Geoffrey S.

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p. 593-607

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Functional Central Limit Theorems for Random Walks Conditioned to Stay Positive

Iglehart, Donald L.

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p. 608-619

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Dependent Central Limit Theorems and Invariance Principles

McLeish, D. L.

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p. 620-628

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On the Central Limit Theorem for Sample Continuous Processes

M., Evarist Gine

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p. 629-641

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On the Weak Convergence of Empirical Processes in Sup-norm Metrics

O'Reilly, Neville E.

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p. 642-651

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Postulates for Subadditive Processes

Hammersley, J. M.

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p. 652-680

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Symmetric Markov Chains

Silverstein, Martin L.

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p. 681-701

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Asymptotic Maxima of Continuous Gaussian Processes

Marcus, M. B.

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p. 702-713

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On the Law of the Iterated Logarithm

Teicher, Henry

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p. 714-728

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Series of Random Processes without Discontinuities of the Second Kind

Kallenberg, Olav

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p. 729-737

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On a Characterization of the Family of Distributions with Constant Multivariate Failure Rates

Puri, Prem S. ; Rubin, Herman

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p. 738-740

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On the Accuracy of the Normal Approximation for Quantiles

Reiss, R.-D.

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p. 741-744

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Un Critere Probabiliste de Compacite Des Groupes

Brunel, A. ; Revuz, D.

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p. 745-746

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The Probability Theory of Additive Arithmetic Functions

Billingsley, Patrick

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p. 749-791

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Residual Life Time at Great Age

Balkema, A. A. ; de Haan, L.

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p. 792-804

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The Capacity Region of a Channel with Two Senders and Two Receivers

Ahlswede, R.

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p. 805-814

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Cross-Spectral Analysis of Processes with Stationary Increments Including the Stationary $G/G/\infty$ Queue

Brillinger, David R.

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p. 815-827

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Some Problems on Random Intervals and Annihilating Particles

Erdos, P. ; Ney, P.

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p. 828-839

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$R$-Theory for Markov Chains on a General State Space I: Solidarity Properties and $R$-Recurrent Chains

Tweedie, Richard L.

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p. 840-864

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$R$-Theory for Markov Chains on a General State Space II: $r$-Subinvariant Measures for $r$-Transient Chains

Tweedie, Richard L.

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p. 865-878

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Transformation of Local Martingales Under a Change of Law

Schuppen, Jan H. Van ; Wong, Eugene

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p. 879-888

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On Stopping Rules and the Expected Supremum of $S_n/a_n$ and $|S_n|/a_n$

Klass, Michael J.

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p. 889-905

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Sums of Independent Random Variables on Partially Ordered Sets

Smythe, R. T.

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p. 906-917

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Strong Laws of Large Numbers for Weakly Orthogonal Sequences of Banach Space-Valued Random Variables

Beck, Anatole ; Warren, Peter

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p. 918-925

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The Optimal Reward Operator in Dynamic Programming

Blackwell, D. ; Freedman, D. ; Orkin, M.

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p. 926-941

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The Optimal Reward Operator in Special Classes of Dynamic Programming Problems

Freedman, David A.

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p. 942-949

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A Gaussian Paradox: Determinism and Discontinuity of Sample Functions

Berman, Simeon M.

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p. 950-953

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A Note on Stationary Gaussian Sequences

Deo, Chandrakant M.

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p. 954-957

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The Multiplicity of an Increasing Family of $\Sigma$-Fields

Davis, M. H. A. ; Varaiya, P.

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p. 958-963

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Review: M. Frank Norman, Markov Processes and Learning Models

Theodorescu, Radu

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p. 964-966

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Review: K. B. Athreya, P. E. Ney, Branching Processes

Williamson, John A.

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p. 966-968

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Contact Interactions on a Lattice

Harris, T. E.

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p. 969-988

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Convergence to Total Occupancy in an Infinite Particle System with Interactions

Liggett, Thomas M.

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p. 989-998

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Sojourns and Extremes of Gaussian Processes

Berman, Simeon M.

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p. 999-1026

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On the Convergence of Sequences of Branching Processes

Grimvall, Anders

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p. 1027-1045

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Limit Theorems for Discontinuous Random Evolutinos with Applications to Initial Value Problems and to Markov Processes on $N$ Lines

Kertz, Robert P.

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p. 1046-1064

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A Central Limit theorem for Markov Processes that Move by Small Steps

Norman, M. Frank

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p. 1065-1074

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The Excessive Functions of a Continuous Time Markov Chain

Chamberlain, Michael W.

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p. 1075-1089

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Some Functional Limit Theorems for Dependent Random Variables

Villalobos, Alvaro Gonzalez

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p. 1090-1107

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Functional laws of the Iterated Logarithm for the Partial Sums of I. I. D. Random Variables in the Domain of Attraction of a Completely Asymmetric Stable Law

Wichura, Michael J.

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p. 1108-1138

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Some Iterated Logarithm Results for Sums of Independent Two-dimensional Random Variables

Sheu, Shey Shiung

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p. 1139-1151

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Martingales and Boundary Crossing Probabilities for Markov Processes

Lai, Tze Leung

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p. 1152-1167

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LLN for Weakly Stationary Processes on Locally Compact Abelian Groups

Driscoll, M. F. ; McDonald, J. N. ; Weiss, N. A.

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p. 1168-1171

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Lower Class Sequences for the Skorohod-Strassen Approximation Scheme

Kostka, David G.

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p. 1172-1178

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On Sawyer's Rates of Convergence for Some Functionals in Probability

O'Reilly, Neville E.

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p. 1179-1184

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A Remark on Local Behavior of Characteristic Functions

Maller, R. A.

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p. 1185-1187

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