Sommaire du Fascicule no. 4

Acknowledgment of Priority: On the Integral of the Absolute Value of the Pinned Wiener Process

Shepp, L.

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Acknowledgment of Priority: Entropy Analysis of a Nearest-Neighbor Attractive/Repulsive Exclusion Process on One-Dimensional Lattices

Yaguchi, Hirotake

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The Continuum Random Tree. I

Aldous, David

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p. 1-28

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Coupled Reaction-Diffusion Equations

Freidlin, Mark

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p. 29-57

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Large Deviations Theorems for Empirical Measures in Freidlin-Wentzell Exit Problems

Mikami, Toshio

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p. 58-82

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Fluctuations of the Wiener Sausage for Surfaces

Chavel, Isaac ; Feldman, Edgar ; Rosen, Jay

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p. 83-141

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Tanaka Formulae and Renormalization for Triple Intersections of Brownian Motion in the Plane

Rosen, Jay ; Yor, Marc

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p. 142-159

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Self-Intersections and Local Nondeterminism of Gaussian Processes

Berman, Simeon M.

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p. 160-191

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Intersection Local Times for Infinite Systems of Brownian Motions and for the Brownian Density Process

Adler, Robert J. ; Feldman, Raisa Epstein ; Lewin, Marica

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p. 192-220

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The Range of a Levy Process

Mountford, T. S. ; Port, S. C.

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p. 221-225

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Microscopic Structure of Travelling Waves in the Asymmetric Simple Exclusion Process

Ferrari, P. A. ; Kipnis, C. ; Saada, E.

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p. 226-244

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Hydrodynamic Limit of One-Dimensional Exclusion Processes with Speed Change

Funaki, T. ; Handa, K. ; Uchiyama, K.

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p. 245-265

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Persistence Criteria for a Class of Critical Branching Particle Systems in Continuous Time

Gorostiza, Luis G. ; Wakolbinger, Anton

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p. 266-288

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Conditional Limit Distributions of Critical Branching Brownian Motions

Lee, Tzong-Yow

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p. 289-311

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Extremes of Moving Averages of Random Variables with Finite Endpoint

Davis, Richard A. ; Resnick, Sidney I.

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p. 312-328

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The Asymptotic Behavior of the Reward Sequence in the Optimal Stopping of I.I.D. Random Variables

Kennedy, Douglas P. ; Kertz, Robert P.

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p. 329-341

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Minimax-Optimal Stop Rules and Distributions in Secretary Problems

Hill, Theodore P. ; Krengel, Ulrich

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p. 342-353

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$L^P$ Estimates on Iterated Stochastic Integrals

Carlen, Eric ; Kree, Paul

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p. 354-368

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Hypercontraction Methods in Moment Inequalities for Series of Independent Random Variables in Normed Spaces

Kwapien, Stanislaw ; Szulga, Jerzy

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p. 369-379

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Some Extensions of the LIL Via Self-Normalizations

Griffin, Philip ; Kuelbs, James

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p. 380-395

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Some Orthogonality Preserving Kernels which are not Completely Orthogonal

Mauldin, R. Daniel ; v. Weizsacker, H.

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p. 396-400

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Nonlinear Renewal Theory for Conditional Random Walks

Hu, Inchi

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p. 401-422

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A Borel Measurable Version of Konig's Lemma for Random Paths

Maitra, A. ; Purves, R. ; Sudderth, W.

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p. 423-451

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A Compound Poisson Convergence Theorem

Wang, Y. H.

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p. 452-455

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Local Time and Stochastic Area Integrals

Rogers, L. C. G. ; Walsh, J. B.

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p. 457-482

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On an Independence Criterion for Multiple Wiener Integrals

Kallenberg, Olav

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p. 483-485

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Some Potential Theory for Reflecting Brownian Motion in Holder and Lipschitz Domains

Bass, Richard F. ; Hsu, Pei

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p. 486-508

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Large Deviations for Diffusion Processes with Homogenization and Applications

Baldi, Paolo

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p. 509-524

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Uniqueness for Some Diffusions with Discontinuous Coefficients

Cerutti, M. Cristina ; Escauriaza, Luis ; Fabes, Eugene B.

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p. 525-537

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Some Estimates of the Transition Density of a Nondegenerate Diffusion Markov Process

Sheu, Shuenn-Jyi

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p. 538-561

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Symmetry Groups and Translation Invariant Representations of Markov Processes

Glover, Joseph

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p. 562-586

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On the Central Limit Theorem for Markov Chains in Random Environments

Cogburn, Robert

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p. 587-604

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A Characterization of Reversible Markov Chains by a Rotational Representation

del Tio, P. Rodriguez ; Blanco, M. C. Valsero

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p. 605-608

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Space-Time Bernoullicity of the Lower and Upper Stationary Processes for Attractive Spin Systems

Steif, Jeffrey E.

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p. 609-635

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A Uniform Central Limit Theorem for Nonuniform $\phi$-Mixing Random Fields

Chen, Dongching

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p. 636-649

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The Range of Stable Random Walks

Gall, Jean-Francois Le ; Rosen, Jay

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p. 650-705

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Sample and Ergodic Properties of Some Min-Stable Processes

Weintraub, Keith Steven

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p. 706-723

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On the Rate of Convergence in the Multivariate CLT

Gotze, F.

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p. 724-739

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On Iterated Logarithm Laws for Linear Arrays and Nonparametric Regression Estimators

Hall, Peter

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p. 740-757

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Gaussian Characterization of Uniform Donsker Classes of Functions

Gine, Evarist ; Zinn, Joel

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p. 758-782

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The Asymptotic Distribution of Extreme Sums

Csorgo, Sandor ; Haeusler, Erich ; Mason, David M.

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p. 783-811

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Conditional $U$-Statistics

Stute, Winfried

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p. 812-825

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Embedding the Finite Sampling Process at a Rate

Shorack, Galen R.

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p. 826-842

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On the Linear Prediction of Multivariate $(2, p)$-Bounded Processes

Houdre, Christian

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p. 843-867

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Proof of a Conjecture of M. L. Eaton on the Characteristic Function of the Wishart Distribution

Peddada, Shyamal Das ; Richards, Donald St. P.

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p. 868-874

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Spectral Decomposition for Generalized Domains of Attraction

Meerschaert, Mark M.

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p. 875-892

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Unstable Collectives and Envelopes of Probability Measures

Papamarcou, Adrian ; Fine, Terrence L.

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p. 893-906

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Markov Chains with Stochastically Stationary Transition Probabilities

Orey, Steven

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p. 907-928

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W. Doeblin, 1915-1940

Lindvall, Torgny

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p. 929-934

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$L_2$ Rates of Convergence for Attractive Reversible Nearest Particle Systems: The Critical Case

Liggett, Thomas M.

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p. 935-959

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The Contact Processes in a Random Environment

Bramson, Maury ; Durrett, Rick ; Schonmann, Roberto H.

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p. 960-983

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Exponential Decay for Subcritical Contact and Percolation Processes

Bezuidenhout, Carol ; Grimmett, Geoffrey

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p. 984-1009

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Random Time Changes and Convergence in Distribution Under the Meyer-Zheng Conditions

Kurtz, Thomas G.

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p. 1010-1034

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Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations

Kurtz, Thomas G. ; Protter, Philip

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p. 1035-1070

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Diffusion Approximation for a Class of Transport Processes with Physical Reflection Boundary Conditions

Costantini, C.

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p. 1071-1101

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Weak Convergence to a Markov Chain with an Entrance Boundary: Ancestral Processes in Population Genetics

Donnelly, Peter

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p. 1102-1117

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Boundary Value Problems for Stochastic Differential Equations

Nualart, D. ; Pardoux, E.

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p. 1118-1144

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Multiple Stochastic Integrals with Respect to Symmetric Infinitely Divisible Random Measures

Szulga, Jerzy

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p. 1145-1156

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Branching Particle Systems and Superprocesses

Dynkin, E. B.

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p. 1157-1194

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Product Martingales and Stopping Lines for Branching Brownian Motion

Chauvin, Brigitte

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p. 1195-1205

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Majorization, Exponential Inequalities and Almost Sure Behavior of Vector-Valued Random Variables

Berger, Erich

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p. 1206-1226

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On the Almost Sure Behavior of Sums of IID Random Variables in Hilbert Space

Einmahl, Uwe

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p. 1227-1263

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Gaussian Measure of Large Balls in $l_p$

Linde, Werner

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p. 1264-1279

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Large Deviations for Markov Processes with Discontinuous Statistics, I: General Upper Bounds

Dupuis, Paul ; Ellis, Richard S. ; Weiss, Alan

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p. 1280-1297

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The Ruin Problem for Finite Markov Chains

Hoglund, Thomas

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p. 1298-1310

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Approximate Independence of Distributions on Spheres and Their Stability Properties

Rachev, S. T. ; Ruschendorf, L.

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p. 1311-1337

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Minimax Grid Matching and Empirical Measures

Shor, P. W. ; Yukich, J. E.

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p. 1338-1348

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Variance Functions with Meromorphic Means

Bar-Lev, Shaul K. ; Bshouty, Daoud ; Enis, Peter

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p. 1349-1366

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Generating a Random Linear Extension of a Partial Order

Matthews, Peter

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p. 1367-1392

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Correction: A Functional Central Limit Theorem for Random Mappings

Hansen, Jennie C.

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p. 1393-1396

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Brownian Excursions, Trees and Measure-Valued Branching Processes

Gall, Jean-Francois Le

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p. 1399-1439

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Comparison of Stochastic and Deterministic Models of a Linear Chemical Reaction with Diffusion

Blount, Douglas

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p. 1440-1462

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Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks

Chen, Hong ; Mandelbaum, Avi

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p. 1463-1519

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Percolation Critical Exponents Under the Triangle Condition

Barsky, D. J. ; Aizenman, M.

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p. 1520-1536

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Hydrodynamical Equation for Attractive Particle Systems on $\mathbb{Z}^d$

Landim, C.

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p. 1537-1558

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Choosing a Spanning Tree for the Integer Lattice Uniformly

Pemantle, Robin

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p. 1559-1574

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Almost Subadditive Extensions of Kingman's Ergodic Theorem

Schurger, Klaus

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p. 1575-1586

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Solutions of a Stochastic Differential Equation Forced Onto a Manifold by a Large Drift

Katzenberger, G. S.

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p. 1587-1628

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On Some Applicable Versions of Abstract Large Deviations Theorems

Ioffe, Dimitry

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p. 1629-1639

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Convergence of Scaled Random Samples in $\mathbb{R}^d$

Kinoshita, K. ; Resnick, Sidney I.

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p. 1640-1663

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A Nonhomogeneous Markov Process for the Estimation of Gaussian Random Fields with Nonlinear Observations

Amit, Yali ; Piccioni, Mauro

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p. 1664-1678

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Sharp Inequalities for the Conditional Square Function of a Martingale

Wang, Gang

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p. 1679-1688

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Asymptotic Approximations for Brownian Motion Boundary Hitting Times

Roberts, G. O.

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p. 1689-1731

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A Note on the Upper Bound for I.I.D. Large Deviations

Dinwoodie, I. H.

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p. 1732-1736

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Strong Limit Theorems of Empirical Functionals for Large Exceedances of Partial Sums of I.I.D. Variables

Dembo, Amir ; Karlin, Samuel

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p. 1737-1755

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Strong Limit Theorems of Empirical Distributions for Large Segmental Exceedances of Partial Sums of Markov Variables

Dembo, Amir ; Karlin, Samuel

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p. 1756-1767

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Strong Laws for Small Increments of Renewal Processes

Steinebach, Josef

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p. 1768-1776

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Probability Laws with 1-Stable Marginals are 1-Stable

Samorodnitsky, Gennady ; Taqqu, Murad S.

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p. 1777-1780

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Existence of Probability Measures with Given Marginals

Gutmann, Sam ; Kemperman, J. H. B. ; Reeds, J. A. ; Shepp, L. A.

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p. 1781-1797

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Optimal Stopping and Best Constants for Doob-like Inequalities I: The Case $p = 1$

Jacka, S. D.

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p. 1798-1821

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