Sommaire du Fascicule no. 5

Paul Levy, 1886-1971

Loeve, Michel

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p. 1-8

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Publications of Paul Levy

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p. 9-18

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Distribution Function Inequalities for Martingales

Burkholder, D. L.

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p. 19-42

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An Application of Ergodic Theory to Probability Theory

Ornstein, Donald S.

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p. 43-58

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Discussion on Professor Ornstein's Paper

Ornstein, Donald

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p. 59-65

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Sample Functions of the Gaussian Process

Dudley, R. M.

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p. 66-103

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Non-Anticipative Representations of Equivalent Gaussian Processes

Kallianpur, G. ; Oodaira, H.

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p. 104-122

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A Comparison of Continuity Conditions for Gaussian Processes

Marcus, M. B.

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p. 123-130

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Occupation Times for Smooth Stationary Processes

Geman, D. ; Horowitz, J.

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p. 131-137

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Sample Functions of the $N$-Parameter Wiener Process

Orey, Steven ; Pruitt, William E.

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p. 138-163

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Strong Laws of Large Numbers for $r$-Dimensional Arrays of Random Variables

Smythe, R. T.

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p. 164-170

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On a Convex Function Inequality for Martingales

Garsia, Adriano M.

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p. 171-174

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A Note on Minimax Filtering

Breiman, Leo

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p. 175-179

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A Note on the Convergence of Series of Stochastic Processes

Wichura, M. J.

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p. 180-182

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A Characterization of the Exponential Law

Erickson, K. Bruce ; Guess, Harry

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p. 183-185

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A Note on Strong-Mixing Gaussian Sequences

Deo, Chandrakant M.

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p. 186-187

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Probabilities for a $k$th Nearest Neighbor Problem on the Line

Wallenstein, Sylvan R. ; Naus, Joseph I.

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p. 188-190

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Correction Note: Correction to "A Counterexample on Measurable Processes"

Dudley, R. M.

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p. 191-192

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Review: William Feller, An Introduction to Probability Theory and its Applications 2

Chung, Kai Lai

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p. 193-196

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Geometry of Differential Space

McKean, H. P.

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p. 197-206

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Une Theorie de la Dualite a Ensemble Polaire Pres I

Alvarez, M. A. Garcia ; Meyer, P. A.

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p. 207-222

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On Markov Processes with Random Starting Time

Leviatan, Talma

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p. 223-230

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A Continuum of Collision Process Limit Theorems

Gisselquist, Richard

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p. 231-239

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An Infinite Particle System with Zero Range Interactions

Liggett, Thomas M.

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p. 240-253

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On Convergence in Probability to Brownian Motion

Drogin, Richard

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p. 254-262

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A Linear Extension of the Martingale Convergence Theorem

MacQueen, James B.

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p. 263-271

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Some Strassen-Type Laws of the Iterated Logarithm for Multiparameter Stochastic Processes with Independent Increments

Wichura, Michael J.

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p. 272-296

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Bounds on Distribution Functions in Terms of Expectations of Order- Statistics

Mallows, C. L.

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p. 297-303

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Some Zero-One Laws for Gaussian Processes

Cambanis, Stamatis ; Rajput, Balram S.

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p. 304-312

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Which Functions of Stopping Times are Stopping Times?

Dubins, Lester E.

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p. 313-316

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Asymptotics of Randomly Stopped Sequences with Independent Increments

Greenwood, Priscilla

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p. 317-321

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Maximal Inequalities and the Law of the Iterated Logarithm

Stout, William F.

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p. 322-328

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Strongly Ergodic Behavior for Non-Stationary Markov Processes

Madsen, Richard W. ; Isaacson, Dean L.

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p. 329-335

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A Note on Random Measures and Moving Averages on Non-discrete Groups

Blum, Julius ; Eisenberg, Bennett

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p. 336-337

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On the Integrability of the Supremum of Ergodic Ratios

Derriennic, Yves

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p. 338-340

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A Note on Continuous Parameter Zero-Two Law

Winkler, William

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p. 341-344

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Subgroups of Paths and Reproducing Kernels

Page, Raoul Le

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p. 345-347

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A Simple Analytic Proof of the Pollaczek-Wendel Identity for Ordered Partial Sums

Smit, Jos H. A. De

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p. 348-351

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A Central Limit Theorem for $m$-Dependent Random Variables with Unbounded $m$

Berk, Kenneth N.

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p. 352-354

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On $L_p$ Chebyshev-Cramer Asymptotic Expansions

Erickson, R. V.

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p. 355-361

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A Counterexample to Perez's Generalization of the Shannon-McMillan Theorem

Kieffer, J. C.

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p. 362-364

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Excursions of Stationary Gaussian Processes above High Moving Barriers

Berman, Simeon M.

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p. 365-387

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High Level Occupation Times for Continuous Gaussian Processes

Marlow, Norman A.

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p. 388-397

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A Convergence Theorem for Extreme Values from Gaussian Sequences

Welsch, Roy E.

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p. 398-404

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The Maximal Oscillation Problem for Regenerative Phenomena

Griffeath, David

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p. 405-416

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On a Class of Secretary Problems

Mucci, Anthony G.

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p. 417-427

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Invariance Principles for the Law of the Iterated Logarithm for Martingales and Processes with Stationary Increments

Heyde, C. C. ; Scott, D. J.

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p. 428-436

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Boundary Crossing Probabilities Associated with Motoo's Law of the Iterated Logarithm

Wichura, Michael J.

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p. 437-456

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Inequalities for Branching Processes

Turnbull, Bruce W.

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p. 457-474

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Inequalities for Multitype Branching Processes

Turnbull, Bruce W.

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p. 475-479

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A Poisson-Type Limit Theorem for Mixing Sequences of Dependent 'Rare' Events

Meyer, R. M.

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p. 480-483

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A Note on Fine's Axioms for Qualitative Probability

Roberts, Fred S.

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p. 484-487

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An Almost Sure Invariance Principle for Mutivariate Kolmogorov-Smirnov Statistics

Sen, Pranab Kumar

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p. 488-496

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On an $L_p$ Version of the Berry-Esseen Theorem for Independent and $m$- Dependent Variables

Erickson, R. V.

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p. 497-503

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A Note on the Rate of Convergence and Its Applications

Khan, Rasul A.

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p. 504-508

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On Khintchine's Estimate for Large Deviations

Kostka, David G.

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p. 509-512

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Absolute Continuity of Measures Corresponding to Diffusion Processes in Banach Space

Kuo, Hui-Hsiung

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p. 513-518

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Conditions for Continuity of Random Processes without Discontinuities of the Second Kind

Kallenberg, Olav

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p. 519-526

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Local Asymptotic Laws for Brownian Motion

Jain, N. C. ; Taylor, S. J.

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p. 527-549

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Last Exit Times and Additive Functionals

Getoor, R. K. ; Sharpe, M. J.

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p. 550-569

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A Generalization of Dynkin's Identity and Some Applications

Athreya, Krishna B. ; Kurtz, Thomas G.

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p. 570-579

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On the Representation of Semimartingales

Follmer, Hans

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p. 580-589

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Measure-Invariant Sets

Blum, Julius R. ; Pathak, Pramod K.

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p. 590-602

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The Central Limit Theorem for Random Motions of $d$-Dimensional Euclidean Space

Gorostiza, Luis G.

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p. 603-612

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Radial Processes

Millar, P. W.

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p. 613-626

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Shock Models and Wear Processes

Esary, J. D. ; Marshall, A. W.

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p. 627-649

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Record Values and Maxima

Resnick, Sidney I.

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p. 650-662

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Degeneracy Properties of Subcritical Branching Processes

Chover, J. ; Ney, P. ; Wainger, S.

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p. 663-673

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Epsilon Entropy of Stochastic Processes With Continuous Paths

Posner, Edward C. ; Rodemich, Eugene R.

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p. 674-689

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On Equivalence of Probability Measures

Baker, Charles R.

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p. 690-698

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The Rate of Convergence of a Random Walk to Brownian Motion

Fraser, David F.

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p. 699-701

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A Classical Limit Theorem Without Invariance or Reflection

Teicher, Henry

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p. 702-704

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Contributions to the Theory of Dirichlet Processes

Korwar, Ramesh M. ; Hollander, Myles

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p. 705-711

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The Probability Limit Identification Function Exists Under the Continuum Hypothesis

Stepan, Josef

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p. 712-715

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A Note on the Convergence of Stable and Class L Probability Measures on Banach Spaces

Kumar, A.

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p. 716-718

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Properties of Optimal Extended-Valued Stopping Rules for $S_n/n^1$

Klass, Michael J.

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p. 719-757

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An Index of Genealogical Relatedness Derived from a Genetic Model

Lloyd, Stuart P. ; Mallows, Colin L.

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p. 758-771

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On the Amount of Variance Needed to Escape from a strip

Blackwell, David ; Freedman, David

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p. 772-787

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Limit Distributions of Self-normalized Sums

Logan, B. F. ; Mallows, C. L. ; Rice, S. O. ; Shepp, L. A.

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p. 788-809

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Limiting Behavior of Weighted Sums of Independent Random Variables

Chow, Y. S. ; Lai, T. L.

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p. 810-824

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Gaussian Processes, Moving Averages and Quick Detection Problems

Lai, Tze Leung

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p. 825-837

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Convergence to Zero of Quadratic Forms in Independent Random Variables

Griffiths, Gary N. ; Platt, Ronald D. ; Wright, F. T.

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p. 838-848

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A Dimension Theorem for Sample Functions of Processes with Stable Components

Hendricks, W. J.

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p. 849-853

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A Note on the Distribution of Hitting Times

Geman, Donald

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p. 854-856

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The Nonexistence of the Yaglom Limit for An Age Dependent Subcritical Branching Process

Kurtz, Thomas G. ; Wainger, Stephen

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p. 857-861

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On the Local Behavior of Characteristic Functions

Wolfe, Stephen J.

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p. 862-866

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A Probabilistic Proof of the Normal Convergence Criterion

Root, D. ; Rubin, H.

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p. 867-869

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A Note on Empirical Processes of Strong-Mixing Sequences

Deo, Chandrakant M.

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p. 870-875

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The Expected Number of Components in Random Linear Graphs

Ling, Robert F.

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p. 876-881

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