Sommaire du Fascicule no. 4

Corrections: Correction to "Large Deviation Probabilities for Samples from a Finite Population

Robinson, J.

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Acknowledgment of Priority: "Distribution of Symmetric Stable Laws of Index $2^{-n}$" AND "Stable Laws of Index $2^{-n}$"

Mitra, S. S.

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Correction: Correction to "Laplace's Method for Gaussian Integrals with an Application to Statistical Mechanics"

Ellis, Richard S. ; Rosen, Jay S.

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Corrections: Correction to "Approximating IMRL Distributions by Exponential Distributions, with Applications to First Passage Times

Brown, Mark

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Supercritical Contact Processes on $Z$

Durrett, Richard ; Griffeath, David

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p. 1-15

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Attractive Nearest Particle Systems

Liggett, Thomas M.

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p. 16-33

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Brownian Motion with Lower Class Moving Boundaries Which Grow Faster Than $t^{1/2}$

Bass, R. F. ; Cranston, M.

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p. 34-39

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A Class of Conditional Limit Theorems Related to Ruin Problem

Shimura, Michio

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p. 40-45

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Gaussian Measures in $B_p$

Jain, Naresh C. ; Monrad, Ditlev

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p. 46-57

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The Central Limit Theorem for Stochastic Integrals with Respect to Levy Processes

Gine, Evarist ; Marcus, Michel B.

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p. 58-77

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Small Deviations in the Functional Central Limit Theorem with Applications to Functional Laws of the Iterated Logarithm

de Acosta, Alejandro

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p. 78-101

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Some Results on the Cluster Set $C\bigg(\bigg{\frac{S_n}{a_n}\bigg}\bigg)$ and the LIL

de Acosta, A. ; Kuelbs, J.

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p. 102-122

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Convergence Rates Related to the Strong Law of Large Numbers

Fill, James Allen

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p. 123-142

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Remainder Term Estimates of the Renewal Function

Carlsson, Hasse

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p. 143-157

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Dominating Points and the Asymptotics of Large Deviations for Random Walk on $\mathbb{R}^d$

Ney, Peter

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p. 158-167

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Domains of Attraction of Multivariate Extreme Value Distributions

Marshall, Albert W. ; Olkin, Ingram

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p. 168-177

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The Domain of Normal Attraction of an Operator-Stable Law

Hudson, William N. ; Mason, J. David ; Veeh, Jerry Alan

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p. 178-184

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Sums of Functions of Nearest Neighbor Distances, Moment Bounds, Limit Theorems and a Goodness of Fit Test

Bickel, Peter J. ; Breiman, Leo

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p. 185-214

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A Remark on Stochastic Fundamental Matrices

Berger, Marc A.

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p. 215-216

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A Method of Investigating the Longest Paths in Certain Random Graphs

Nemetz, T. ; Kusolitsch, N.

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p. 217-221

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Strong Law of Large Numbers for Banach Space Valued Random Sets

Puri, Madan L. ; Ralescu, Dan A.

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p. 222-224

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An Application of Time Reversal to Brownian Local Time

Mitro, Joanna B.

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p. 225-226

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A Conditioned Limit Theorem for Random Walk and Brownian Local Time on Square Root Boundaries

Greenwood, Priscilla ; Perkins, Edwin

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p. 227-261

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Stable Limits for Partial Sums of Dependent Random Variables

Davis, Richard A.

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p. 262-269

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A New Proof of the Hartman-Wintner Law of the Iterated Logarithm

de Acosta, Alejandro

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p. 270-276

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Pointwise Translation of the Radon Transform and the General Central Limit Problem

Hahn, Marjorie G. ; Hahan, Peter ; Klass, Michael J.

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p. 277-301

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The Behavior of Asymmetric Cauchy Processes for Large Time

Pruitt, William E. ; Taylor, S. James

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p. 302-327

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Asymptotic Normality of Statistics Based on the Convex Minorants of Empirical Distribution Functions

Groeneboom, Piet ; Pyke, Ronald

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p. 328-345

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On the Order of Magnitude of Cumulants of Von Mises Functionals and Related Statistics

Bhattacharya, R. N. ; Puri, M. L.

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p. 346-354

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Sets Which Determine the Rate of Convergence in the Central Limit Theorem

Hall, Peter

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p. 355-361

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The Motion of a Tagged Particle in the Simple Symmetric Exclusion System on $Z$

Arratia, Richard

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p. 362-373

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High Density Limit Theorems for Infinite Systems of Unscaled Branching Brownian Motions

Gorostiza, Luis G.

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p. 374-392

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A Simple Criterion for Transience of a Reversible Markov Chain

Lyons, Terry

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p. 393-402

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Minimization Algorithms and Random Walk on the $d$-Cube

Aldous, David

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p. 403-413

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A Bound on the Size of Point Clusters of a Random Walk with Stationary Increments

Berbee, Henry

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p. 414-418

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Approximating IMRL Distributions by Exponential Distributions, with Applications to First Passage Times

Brown, Mark

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p. 419-427

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On Distributions Related to Transitive Closures of Random Finite Mappings

Pittel, Boris

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p. 428-441

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The Advantage of Using Non-Measurable Stop Rules

Hill, Theodore P. ; Pestien, Victor C.

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p. 442-450

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Association of Normal Random Variables and Slepian's Inequality

Joag-Dev, Kumar ; Perlman, Michael D. ; Pitt, Loren D.

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p. 451-455

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Random Walks on Discrete Groups: Boundary and Entropy

Kaimanovich, V. A. ; Vershik, A. M.

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p. 457-490

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On the Maximum of a Random Walk with Small Negative Drift

Klass, Michael J.

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p. 491-505

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Some Results on LIL Behavior

Kuelbs, J. ; Zinn, J.

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p. 506-557

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Renewal Theory for $M$-Dependent Variables

Janson, Svante

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p. 558-568

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Strong Laws for Independent Identically Distributed Random Variables Indexed by a Sector

Gut, Allan

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p. 569-577

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Exit Times for Symmetric Stable Processes in $\mathbb{R}^n$

Bass, R. F. ; Cranston, M.

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p. 578-588

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A Uniform Lower Bound for Hausdorff Dimension for Transient Symmetric Levy Processes

Hendricks, W. J.

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p. 589-592

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How Big are the Increments of the Local Time of a Wiener Process?

Csaki, E. ; Csorgo, M. ; Foldes, A. ; Revesz, P.

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p. 593-608

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Some Results on Increments of the Wiener Process with Applications to Lag Sums of I.I.D. Random Variables

Hanson, D. L. ; Russo, Ralph P.

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p. 609-623

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Harmonic Functions and the Dirichlet Problem for Revival Markov Processes

Siegrist, Kyle

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p. 624-634

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Valeurs Prises par les Martingales Locales Continues a un Instant Donne

Emery, M. ; Stricker, C. ; Yan, J. A.

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p. 635-641

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Markov Strategies for Optimal Control Problems Indexed by a Partially Ordered Set

Lawler, G. F. ; Vanderbei, R. J.

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p. 642-647

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Exponential Moments for Hitting Times of Uniformly Ergodic Markov Processes

Carmona, Rene ; Klein, Abel

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p. 648-655

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Estimate on Moments of the Solutions to Stochastic Differential Equations in the Plane

Reid, J.

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p. 656-668

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Un Theoreme Ergodique Presque Sous-Additif

Derriennic, Yves

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p. 669-677

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Stationarity on Finite Strings and Shift Register Sequences

Zaman, Arif

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p. 678-684

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Gaussian Measure of Normal Subgroups

Byczkowski, T. ; Hulanicki, A.

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p. 685-691

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The Binary Contact Path Process

Griffeath, David

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p. 692-705

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Site Recurrence for Annihilating Random Walks on $Z_d$

Arratia, Richard

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p. 706-713

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Two Critical Exponents for Finite Reversible Nearest Particle Systems

Liggett, Thomas M.

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p. 714-725

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Some Poisson Approximations Using Compensators

Brown, Timothy C.

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p. 726-744

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Convergence of a Class of Empirical Distribution Functions of Dependent Random Variables

Silverman, B. W.

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p. 745-751

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Exponential Life Functions with NBU Components

Shaked, Moshe

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p. 752-759

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The Reliability of $K$ Out of $N$ Systems

Boland, Philip J. ; Proschan, Frank

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p. 760-764

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Sharp Bounds on the Absolute Moments of a Sum of Two I.I.D. Random Variables

Cox, David C. ; Kemperman, J. H. B.

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p. 765-771

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Un Theoreme de la Limite Locale Pour une Classe de Transformations Dilatantes et Monotones par Morceaux

Rousseau-Egele, J.

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p. 772-788

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Rotational Representations of Stochastic Matrices

Alpern, Steve

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p. 789-794

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On the Almost Sure Convergence of Randomly Weighted Sums of Random Elements

Taylor, R. L. ; Calhoun, C. A.

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p. 795-797

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Weak Convergence to Brownian Excursion

Blumenthal, R. M.

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p. 798-800

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Some Comments on the Erdos-Renyi Law and a Theorem of Shepp

Lynch, James

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p. 801-802

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On the Supremum of a Certain Gaussian Process

Darling, D. A.

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p. 803-806

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An Explicit Formula for the C.D.F. of the $L_1$ Norm of the Brownian Bridge

Johnson, B. McK. ; Killeen, T.

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p. 807-808

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Stationary Strongly Mixing Sequences Not Satisfying the Central Limit Theorem

Herrndorf, Norbert

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p. 809-813

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The Natural Boundary Problem for Random Power Series with Degenerate Tail Fields

Holgate, P.

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p. 814-816

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Calculation of the Laplace Transform of the Length of the Busy Period for the M|G|1 Queue Via Martingales

Rosenkrantz, Walter A.

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p. 817-818

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On the Splicing of Measures

Kallianpur, G. ; Ramachandran, D.

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p. 819-822

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A Characterization of Rectangular Distributions

Terrell, George R.

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p. 823-826

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On the Cesaro Means of Orthogonal Sequences of Random Variables

Moricz, Ferenc

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p. 827-832

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Brownian Motion, Geometry, and Generalizations of Picard's Little Theorem

Goldberg, S. I. ; Mueller, C.

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p. 833-846

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Sojourns of Stationary Processes in Rare Sets

Berman, Simeon M.

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p. 847-866

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Hydrodynamics of the Voter Model

Presutti, Errico ; Spohn, Herbert

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p. 867-875

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Occupation Time Limit Theorems for the Voter Model

Cox, J. Theodore ; Griffeath, David

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p. 876-893

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Countable State Space Markov Random Fields and Markov Chains on Trees

Zachary, Stan

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p. 894-903

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Ramsey's Theorem and Poisson Random Measures

Brown, Timothy C. ; Kupka, Joseph

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p. 904-908

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Limit Theorems for Certain Branching Random Walks on Compact Groups and Homogeneous Spaces

Janson, Svante

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p. 909-930

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A Class of Bernoulli Random Matrices with Continuous Singular Stationary Measures

Pincus, Steve

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p. 931-938

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Probability Estimates for the Small Deviations of $d$-Dimensional Random Walk

Griffin, Philip S.

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p. 939-952

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An Integral Test for the Rate of Escape of $d$-Dimensional Random Walk

Griffin, Philip S.

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p. 953-961

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The Class of Limit Laws for Stochastically Compact Normed Sums

Pruitt, William E.

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p. 962-969

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Orthogonal Transition Kernels

Mauldin, R. Daniel ; Preiss, David ; v. Weizsacker, Heinrich

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p. 970-988

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Tightness of Probabilities On $C(\lbrack 0, 1 \rbrack; \mathscr{Y}')$ and $D(\lbrack 0, 1 \rbrack; \mathscr{Y}')$

Mitoma, Itaru

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p. 989-999

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On the First Passage Time Distribution for a Class of Markov Chains

Brown, Mark ; Chaganty, Narasinga R.

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p. 1000-1008

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Some More Results on Increments of the Wiener Process

Hanson, D. L. ; Russo, Ralph P.

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p. 1009-1015

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The Concave Majorant of Brownian Motion

Groeneboom, Piet

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p. 1016-1027

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Chi Squared Approximations to the Distribution of a Sum of Independent Random Variables

Hall, Peter

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p. 1028-1036

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Independence Via Uncorrelatedness Under Certain Dependence Structures

Joag-Dev, Kumar

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p. 1037-1041

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A Berry-Esseen Theorem for Associated Random Variables

Wood, Thomas E.

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p. 1042-1047

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A Multidimensional CLT for Maxima of Normed Sums

Hagwood, Charles ; Teicher, Henry

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p. 1048-1050

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Strong Law of Large Numbers with Respect to a Set-Valued Probability Measure

Puri, Madan L. ; Ralescu, Dan A.

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p. 1051-1054

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