Sommaire du Fascicule no. 6

Note: Correction to "Note on a Limit Theorem"

Darling, D. A.

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Note: Correction to "Conditions for Continuity of Random Processes Without Discontinuities of the Second Kind"

Kallenberg, Olav

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Level Crossings for Random Fields

Adler, Robert J. ; Hasofer, A. M.

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p. 1-12

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A Two-Dimensional Functional Permutational Central Limit Theorem for Linear Rank Statistics

Sen, Pranab Kumar

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p. 13-26

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Supercritical Age Dependent Branching Processes with Generation Dependence

Fearn, Dean H.

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p. 27-37

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Convergence of the Age Distribution in the One-Dimensional Supercritical Age-Dependent Branching Process

Athreya, K. B. ; Kaplan, N.

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p. 38-50

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Asymptotic Moments of Random Walks with Applications to Ladder Variables and Renewal Theory

Lai, Tze Leung

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p. 51-66

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A Renewal Theorem for Curved Boundaries and Moments of First Passage Times

Woodroofe, Michael

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p. 67-80

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An Almost Sure Invariance Principle for the Extrema of Certain Sample Functions

Sen, Pranab Kumar

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p. 81-88

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Simple Proof of a Result on Thinned Point Processes

Westcott, M.

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p. 89-90

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The Ergodic Maximal Function with Cancellation

Jones, Roger L.

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p. 91-97

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Prediction Theory and Ergodic Spectral Decompositions

Eisenberg, Bennett

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p. 98-101

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Nonuniform Central Limit Bounds with Applications to Probabilities of Deviations

Michel, R.

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p. 102-106

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An Example of a Weak Martingale

Berman, Jeremy

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p. 107-108

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Another Upper Bound for the Renewal Function

Daley, D. J.

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p. 109-114

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An Invariance Principle for Random Walk Conditioned by a Late Return to Zero

Kaigh, W. D.

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p. 115-121

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Limit Laws for Maxima and Second Maxima from Strong-Mixing Processes

Mori, Toshio

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p. 122-126

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The Reconstructability of Markov Chains

Chamberlain, Michael W.

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p. 127-132

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Almost Sure Convergence of the Quadratic Variation of Martingales: A Counterexample

Monroe, Itrel

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p. 133-138

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Convergence Rates for Branching Processes

Asmussen, Soren

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p. 139-146

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Convergence of Conditional $p$-Means Given a $\sigma$-Lattice

Landers, D. ; Rogge, L.

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p. 147-150

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A Note on Downcrossings for Extremal Processes

Frankel, Judah M.

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p. 151-152

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Note: Correction to "A Counterexample to Perez's Generalization of the Shannon-McMillan Theorem"

Kieffer, John C.

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p. 153-154

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Fluctuations in $P(\phi)_1$ Processes

Rosen, Jay ; Simon, Barry

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p. 155-174

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On a Class of Set-Valued Markov Processes

Harris, T. E.

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p. 175-194

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A Martingale Approach to Infinite Systems of Interacting Processes

Holley, R. A. ; Stroock, D. W.

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p. 195-228

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The Multiple Range of Two-Dimensional Recurrent Walk

Flatto, Leopold

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p. 229-248

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Asymptotic Expansions for Sample Quantiles

Reiss, R.-D.

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p. 249-258

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Some Finitely Additive Probability

Purves, Roger A. ; Sudderth, William D.

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p. 259-276

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Local Holder Conditions for the Local Times of Certain Stationary Gaussian Processes

Davies, Laurie

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p. 277-298

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Boundary Crossing Probabilities for Sample Sums and Confidence Sequences

Lai, Tze Leung

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p. 299-312

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Central Terms of Markov Walks

Myers, L. E.

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p. 313-318

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Asymptotic Results for Estimators in a Subcritical Branching Process with Immigration

Quine, M. P.

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p. 319-325

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Infinite $F$-Divisibility of Integer-Valued Random Variables

James, Ian R.

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p. 326-334

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On the Minimum Number of Fixed Length Sequences with Fixed Total Probability

Kieffer, John C.

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p. 335-337

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Coupling the Simple Exclusion Process

Liggett, Thomas M.

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p. 339-356

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Strong Laws for the Maxima of Stationary Gaussian Processes

Mittal, Yash ; Ylvisaker, Donald

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p. 357-371

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Recurrence of Stationary Sequences

Geman, Donald ; Horowitz, Joseph ; Zinn, Joel

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p. 372-381

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An Age-Dependent Model with Parental Survival

Savits, Thomas H.

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p. 382-392

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Supercritical Multitype Branching Processes

Hoppe, Fred M.

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p. 393-401

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On the Structure of Semimarkov Processes Compared with Chung Processes

Cinlar, Erhan

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p. 402-417

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The Infinite Secretary Problem

Gianini, Jacqueline ; Samuels, Stephen M.

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p. 418-432

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Convergence and Convolutions of Probability Measures on a Topological Group

Siebert, Eberhard

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p. 433-443

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Strong Limit Theorems for Certain Arrays of Random Variables

Tomkins, R. J.

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p. 444-452

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On the Recurrence Property of Gaussian Taylor Series

Hwang, J. S.

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p. 453-455

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Fluctuations of Sequences which Converge in Distribution

Rootzen, Holger

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p. 456-463

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Convergence of Submartingales in Banach Lattices

Szulga, Jerzy ; Woyczynski, Wojbor A.

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p. 464-469

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On Weak Convergence of Extremal Processes

Weissman, Ishay

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p. 470-473

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A Note on Invariance Principles for Induced Order Statistics

Sen, Pranab Kumar

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p. 474-479

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On a Functional Central Limit Theorem for Random Walks Conditioned to Stay Positive

Bolthausen, Erwin

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p. 480-485

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On a Local Limit Theorem Concerning Variables in the Domain of Normal Attraction of a Stable Law of Index $\alpha, 1 < \alpha < 2$

Basu, Sujit K.

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p. 486-489

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The Local Limit Theorem for the Galton-Watson Process

Dubuc, S. ; Seneta, E.

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p. 490-496

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Potentials of Markov Processes without Duality

Nevison, Christopher H.

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p. 497-501

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Note on the $k$-Dimensional Jensen Inequality

Schaefer, Martin

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p. 502-504

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Admissible Translates for Probability Distributions

Hudson, William N.

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p. 505-508

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Half a Century with Probability Theory: Some Personal Recollections

Cramer, Harald

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p. 509-546

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A Central Limit Theorem for the Number of Zeros of a Stationary Gaussian Process

Cuzick, Jack

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p. 547-556

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Existence and Uniqueness of Countable One-Dimensional Markov Random Fields

Kesten, Harry

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p. 557-569

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Weak Martingales and Stochastic Integrals in the Plane

Wong, Eugene ; Zakai, Moshe

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p. 570-586

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The Law of Large Numbers and the Central Limit Theorem in Banach Spaces

Hoffmann-Jorgensen, J. ; Pisier, G.

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p. 587-599

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Functional Central Limit Theorems in Banach Spaces

Garling, D. J. H.

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p. 600-611

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On $r$-Quick Convergence and a Conjecture of Strassen

Lai, Tze Leung

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p. 612-627

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Uniform Tauberian Theorems and their Applications to Renewal Theory and First Passage Problems

Lai, Tze Leung

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p. 628-643

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A Constructive Renewal Theorem

Chan, Y. K.

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p. 644-655

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A Multidimensional Renewal Theorem

Ryan, Thomas A.

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p. 656-661

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Oscillations of Continuous Symmetric Random Walk

Imhof, J. P.

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p. 662-666

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The Enumeration of Comparative Probability Relations

Fine, Terrence ; Gill, John

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p. 667-673

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A Direct Construction of the $R$-Invariant Measure for a Markov Chain on a General State Space

Nummelin, Esa ; Arjas, Elja

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p. 674-679

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The Student $t$-Distribution for Odd Degrees of Freedom is Infinitely Divisible

Grosswald, Emil

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p. 680-683

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A Counterexample for Banach Space Valued Random Variables

Kuelbs, J.

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p. 684-689

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An Example Concerning CLT and LIL in Banach Space

Jain, Naresh C.

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p. 690-694

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On a Random Walk Between a Reflecting and an Absorbing Barrier

Blasi, Alessandro

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p. 695-696

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Results for the Stepping Stone Model for Migration in Population Genetics

Sawyer, Stanley

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p. 699-728

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On Strong Approximation of the Multidimensional Empirical Process

Revesz, P.

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p. 729-743

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A Strong Convergence Theorem for Banach Space Valued Random Variables

Kuelbs, J.

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p. 744-771

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Multiparameter Subadditive Processes

Smythe, R. T.

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p. 772-782

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Ergodic Theorems for an Infinite Particle System with Births and Deaths

Schwartz, Diane

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p. 783-801

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Recurrence Sets of Normed Random Walk in $R^d$

Erickson, K. Bruce

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p. 802-828

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An Ergodic Theorem for the Square of a Wide-sense Stationary Process

Wright, A. Larry

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p. 829-835

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The Range of a Random Walk in Two-Dimensional Time

Etemadi, Nasrollah

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p. 836-843

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A Representation Theorem on Stationary Gaussian Processes and Some Local Properties

Klein, Ruben

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p. 844-849

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Partial Coupling and Loss of Memory for Markov Chains

Griffeath, David

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p. 850-858

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A Criterion for Tightness for a Sequence of Martingales

Loynes, R. M.

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p. 859-862

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Teugels' Renewal Theorem and Stable Laws

Mohan, N. R.

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p. 863-868

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Conditions on the Regression Function when Both Variables are Uniformly Distributed

Vitale, R. A. ; Pipkin, A. C.

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p. 869-873

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An Optimal Stopping Problem for Sums of Dichotomous Random Variables

Chernoff, H. ; Petkau, A. J.

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p. 875-889

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Almost Sure Convergence for the Robbins-Monro Process

Goodsell, C. A. ; Hanson, D. L.

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p. 890-901

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Sequential Compactness of Certain Sequences of Gaussian Random Variables with Values in $C\lbrack 0, 1 \rbrack$

Mangano, Gian-Carlo

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p. 902-913

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The Equivalence of Absorbing and Reflecting Barrier Problems for Stochastically Monotone Markov Processes

Siegmund, D.

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p. 914-924

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Spreading of Sets in Product Spaces and Hypercontraction of the Markov Operator

Ahlswede, Rudolf ; Gacs, Peter

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p. 925-939

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Random Overlapping Intervals--A Generalization of Erlang's Loss Formula

Oakes, David

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p. 940-946

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Une Theorie de la Dualite a Ensemble Polaire Pres II

Alvarez, M. A. Garcia

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p. 947-976

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Distribution Estimates for Functionals of the Two-Parameter Wiener Process

Goodman, Victor

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p. 977-982

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Locally Finite Random Sets: Foundations for Point Process Theory

Ripley, B. D.

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p. 983-994

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The Foundations of Stochastic Geometry

Ripley, B. D.

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p. 995-998

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On Stationarity and Superposition of Point Processes

Ripley, B. D.

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p. 999-1005

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On the Unimodality of Stable Densities

Kanter, Marek

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p. 1006-1008

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On the Maximal Deviation of $k$-Dimensional Density Estimates

Rosenblatt, M.

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p. 1009-1015

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Purely Atomic Structures Supporting Undominated and Nonuniformly Integrable Martingales

Lane, David A.

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p. 1016-1019

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On Convexity of Measures

Rinott, Yosef

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p. 1020-1026

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Convergence of Some Expected First Passage Times

Robbins, Naomi B.

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p. 1027-1029

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The IFRA Closure Problem

Block, Henry W. ; Savits, T. H.

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p. 1030-1032

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Noninvariance of $\bar d$-Convergence of $k$-Step Markov Approximations

Schwarz, Gideon

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p. 1033-1035

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