Sommaire du Fascicule no. 6

Correction Note: Correction to "The Existence and Uniqueness of Stationary Measures for Markov-Renewal Processes"

Schaufele, Ronald A. ; Pyke, Ronald

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General One-Sided Laws of the Iterated Logarithm

Pruitt, William E.

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p. 1-48

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Stochastic Integration and $L^p$-Theory of Semimartingales

Bichteler, Klaus

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p. 49-89

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Raw Time Changes of Markov Processes

Glover, Joseph

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p. 90-102

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The Degenerate Neumann Problem and Degenerate Diffusions with Venttsel's Boundary Conditions

Nishioka, Kunio

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p. 103-118

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Limiting Behavior of a Process of Runs

Pittel, B. G.

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p. 119-129

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Limit Behaviour of the Empirical Characteristic Function

Csorgo, Sandor

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p. 130-144

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A Limit Theorem for the Maximum of Autoregressive Processes with Uniform Marginal Distributions

Chernick, Michael R.

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p. 145-149

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Asymptotic Distribution and Moments of Normal Extremes

Nair, K. Aiyappan

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p. 150-153

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Thin But Unavoidable Sets

Bramson, Maury ; Neidhardt, Arnold

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p. 154-156

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Inequalities for $B$-Valued Random Vectors with Applications to the Strong Law of Large Numbers

Acosta, Alejandro De

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p. 157-161

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Multidimensional IFRA Processes

Block, Henry W. ; Savits, Thomas H.

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p. 162-166

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Optimal Stopping with Sampling Cost: The Secretary Problem

Lorenzen, Thomas J.

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p. 167-172

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On the Williams-Bjerknes Tumour Growth Model I

Bramson, Maury ; Griffeath, David

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p. 173-185

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The Shape of the Limit Set in Richardson's Growth Model

Durrett, Richard ; Liggett, Thomas M.

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p. 186-193

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Weak Convergence of the Empirical Characteristic Function

Marcus, Michael B.

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p. 194-201

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On the Accompanying Laws Theorem in Banach Spaces

Araujo, Aloisio ; Gine, Evarist ; Mandrekar, V. ; Zinn, Joel

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p. 202-210

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Asymptotic Properties of Semigroups of Measures on Vector Spaces

Byczkowski, T. ; Zak, T.

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p. 211-220

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Tauberian Theorems and the Central Limit Theorem

Bingham, N. H.

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p. 221-231

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Brownian Motions on the Homeomorphisms of the Plane

Harris, Theodore E.

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p. 232-254

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Some Classes of Two-Parameter Martingales

Zakai, Moshe

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p. 255-265

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Order Convergence of Martingales in Terms of Countably Additive and Purely Finitely Additive Martingales

Astbury, Kenneth A.

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p. 266-275

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Ordering of Distributions and Rearrangement of Functions

Ruschendorf, Ludger

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p. 276-283

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Arm-Acquiring Bandits

Whittle, P.

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p. 284-292

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Decision Processes with Total-Cost Criteria

Demko, Stephen ; Hill, Theodore P.

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p. 293-301

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Reflected Brownian Motion on an Orthant

Harrison, J. Michael ; Reiman, Martin I.

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p. 302-308

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On Skew Brownian Motion

Harrison, J. M. ; Shepp, L. A.

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p. 309-313

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Construction of a Martingale with Given Absolute Value

Barlow, M. T.

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p. 314-320

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Borel Sets Via Games

Blackwell, D.

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p. 321-322

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The Empirical Discrepancy Over Lower Layers and a Related Law of Large Numbers

Wright, F. T.

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p. 323-329

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Comparison Theorems for Sample Function Growth

Millar, P. W.

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p. 330-334

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Approximation of Product Measures with an Application to Order Statistics

Reiss, R.-D.

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p. 335-341

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A Berry-Esseen Theorem for Linear Combinations of Order Statistics

Helmers, R.

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p. 342-347

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Infinite Systems with Locally Interacting Components

Spitzer, Frank

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p. 349-364

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Subadditive Euclidean Functionals and Nonlinear Growth in Geometric Probability

Steele, J. Michael

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p. 365-376

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When is the Cluster Set of $S_n/a_n$ Empty?

Kuelbs, J.

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p. 377-394

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Rates of Convergence in the Martingale Central Limit Theorem

Hall, Peter ; Heyde, C. C.

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p. 395-404

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A Law of Large Numbers for Identically Distributed Martingale Differences

Elton, John

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p. 405-412

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A Method of Approximating Expectations of Functions of Sums of Independent Random Variables

Klass, Michael J.

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p. 413-428

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Minimal Conditions for Weak Convergence to a Diffusion Process on the Line

Helland, Inge S.

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p. 429-452

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An Extended Dichotomy Theorem for Sequences of Pairs of Gaussian Measures

Eagleson, G. K.

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p. 453-459

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A Limit Theorem for Double Arrays

Rosalsky, Andrew ; Teicher, Henry

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p. 460-467

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Comparing the Tail of an Infinitely Divisible Distribution with Integrals of its Levy Measure

Embrechts, Paul ; Goldie, Charles M.

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p. 468-481

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Operator-Stable Distribution on $R^2$ with Multiple Exponents

Hudson, William N. ; Mason, J. David

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p. 482-489

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Necessary and Sufficient Lifetime Conditions for Normed Convergence of Critical Age-Dependent Processes with Infinite Variance

Goldstein, Martin I. ; Hoppe, Fred M.

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p. 490-497

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The Geometric Programming Dual to the Extinction Probability Problem in Simple Branching Processes

Feigin, Paul D. ; Passy, Ury

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p. 498-503

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Multiparameter Groups of Measure-Preserving Transformations: A Simple Proof of Wiener's Ergodic Theorem

Becker, M. E.

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p. 504-509

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The Mean Number of Real Roots for One Class of Random Polynomials

Shenker, M.

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p. 510-512

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On the Law of Large Numbers

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

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p. 513-519

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On Covering Single Points by Randomly Ordered Intervals

Berbee, Henry

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p. 520-528

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Multiple Integrals of a Homogeneous Process with Independent Increments

Lin, T. F.

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p. 529-532

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A Note on an Inequality Involving the Normal Distribution

Chernoff, Herman

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p. 533-535

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Polymers as Self-Avoiding Walks

Freed, Karl F.

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p. 537-554

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[Polymers as Self-Avoiding Walks]: Discussion

Barrett, Wayne W.

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p. 555-556

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The Central Limit Theorem for Markov Chains

Kurtz, Thomas G.

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p. 557-560

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Characterizing all Diffusions with the $2M - X$ Property

Rogers, L. C. G.

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p. 561-572

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Markov Functions

Rogers, L. C. G. ; Pitman, J. W.

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p. 573-582

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Some Limit Theorems for Percolation Processes with Necessary and Sufficient Conditions

Cox, J. Theodore ; Durrett, Richard

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p. 583-603

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Circuit Processes

MacQueen, J.

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p. 604-610

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The Multidimensional Central Limit Theorem for Arrays Normed by Affine Transformations

Hahn, Marjorie G. ; Klass, Michael J.

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p. 611-623

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Convergence to a Stable Distribution Via Order Statistics

LePage, Raoul ; Woodroofe, Michael ; Zinn, Joel

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p. 624-632

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A Converse to the Spitzer-Rosen Theorem

Hall, Peter

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p. 633-641

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Transitivity in Problems of Optimal Stopping

Irle, Albrecht

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p. 642-647

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On Convergence of the Coverage by Random Arcs on a Circle and the Largest Spacing

Holst, Lars

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p. 648-655

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Gaussian Measurable Dual and Bochner's Theorem

Sato, Hiroshi

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p. 656-662

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Bochner's Theorem on Measurable Linear Functionals of a Gaussian Measure

Okazaki, Yoshiaki

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p. 663-664

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Distributional Results for Random Functionals of a Dirichlet Process

Hannum, Robert C. ; Hollander, Myles ; Langberg, Naftali A.

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p. 665-670

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An Invariance Principle for Certain Dependent Sequences

Newman, C. M. ; Wright, A. L.

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p. 671-675

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$\mathrm{L}_\infty$-Bound for Asymptotic Normality of Weakly Dependent Summands Using Stein's Result

Takahata, Hiroshi

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p. 676-683

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A Remainder Term Estimate for the Normal Approximation in Classical Occupancy

Englund, Gunnar

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p. 684-692

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Weighted Sums of Independent Identically Distributed Random Variables

Ulbricht, Ralf

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p. 693-698

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Growth of Random Walks Conditioned to Stay Positive

Ritter, Grant A.

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p. 699-704

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Selecting Universal Partitions in Ergodic Theory

Kieffer, John C. ; Rahe, Maurice

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p. 705-709

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Distribution of Symmetric Stable Laws of Index $2^{-n}$

Mitra, Shashanka S.

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p. 710-711

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Some Results on the LIL in Banach Space with Applications to Weighted Empirical Processes

Goodman, V. ; Kuelbs, J. ; Zinn, J.

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p. 713-752

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Generalized Random Walk in a Random Environment

Kalikow, Steven A.

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p. 753-768

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Regular Birth Times for Markov Processes

Pittenger, A. O.

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p. 769-780

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Splitting at Backward Times in Regenerative Sets

Kallenberg, Olav

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p. 781-799

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A Global Intrinsic Characterization of Brownian Local Time

Perkins, Edwin

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p. 800-817

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Some Conditional Limit Theorems in Exponential Families

Holst, Lars

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p. 818-830

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Lipschitz Smoothness and Convergence with Applications to the Central Limit Theorem for Summation Processes

Erickson, Roy V.

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p. 831-851

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On Edgeworth Expansions in Banach Spaces

Gotze, F.

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p. 852-859

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Laws of the Iterated Logarithm for Order Statistics of Uniform Spacings

Devroye, Luc

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p. 860-867

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Limit Theorems on Order Statistics

Teugels, Jozef L.

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p. 868-880

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Bounds for Weighted Empirical Distribution Functions

Mason, David M.

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p. 881-884

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A Note on the Survival of the Long-Range Contact Process

Bramson, Maury ; Gray, Lawrence

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p. 885-890

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Further Monotonicity Properties for Specialized Renewal Processes

Brown, Mark

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p. 891-895

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Generalized Poisson Shock Models

Ross, Sheldon M.

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p. 896-898

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A Geometric Representation of a Stochastic Matrix: Theorem and Conjecture

Cohen, Joel E.

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p. 899-901

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Conditional Distributions and Orthogonal Measures

Burgess, John P. ; Mauldin, R. Daniel

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p. 902-906

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A Note on Regular Conditional Probabilities in Doob's Sense

Ramachandran, D.

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p. 907-908

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Limiting Point Processes for Rescalings of Coalescing and Annihilating Random Walks on $Z^d$

Arratia, Richard

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p. 909-936

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Optimal Sequential Selection of a Monotone Sequence From a Random Sample

Samuels, Stephen M. ; Steele, J. Michael

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p. 937-947

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The Growth of Random Walks and Levy Processes

Pruitt, William E.

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p. 948-956

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Optional Sampling of Submartingales Indexed by Partially Ordered Sets

Washburn, Robert B. ; Willsky, Alan S.

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p. 957-970

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Large Deviations of Goodness of Fit Statistics and Linear Combinations of Order Statistics

Groeneboom, Piet ; Shorack, Galen R.

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p. 971-987

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Improved Erdos-Renyi and Strong Approximation Laws for Increments of Partial Sums

Csorgo, M. ; Steinebach, J.

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p. 988-996

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A Geometrical Characterization of Banach Spaces in Which Martingale Difference Sequences are Unconditional

Burkholder, D. L.

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p. 997-1011

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A Functional Law of the Iterated Logarithm for a Class of Subordinators

Pakshirajan, R. P. ; Vasudeva, R.

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p. 1012-1018

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Applications of Raw Time-Changes to Markov Processes

Glover, Joseph

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p. 1019-1029

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Note on a Theorem of Woodroofe's

Yu, Kai Fun

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p. 1030-1033

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Laplace Functional Approach to Point Processes Occurring in a Traffic Model

Zeephongsekul, P.

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p. 1034-1040

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The Natural Median

Landers, Dieter ; Rogge, Lothar

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p. 1041-1042

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On the Jumps of Time Changed Diffusions

Jan, Yves Le

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p. 1043-1044

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