Sommaire du Fascicule no. 4

Stochastic models of interacting systems

Liggett, Thomas M.

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p. 1-29

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Approximation of subadditive functions and convergence rates in limiting-shape results

Alexander, Kenneth S.

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p. 30-55

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Invariant measures of critical spatial branching processes in high dimensions

Bramson, Maury ; Cox, J. T. ; Greven, Andreas

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p. 56-70

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Domination by product measures

Liggett, T. M. ; Schonmann, R. H. ; Stacey, A. M.

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p. 71-95

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Quantum operators in classical probability theory. IV. Quasi-duality and thinnings of interacting particle systems

Sudbury, Aidan ; Lloyd, Peter

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p. 96-114

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Stochastic particle approximations for generalized Boltzmann models and convergence estimates

Graham, Carl ; Méléard, Sylvie

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p. 115-132

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Long time existence for the wave equation with a noise term

Mueller, Carl

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p. 133-151

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On moderate deviations for martingales

Grama, I. G.

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p. 152-183

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Isoperimetric constants for product probability measures

Bobkov, S. G. ; Houdré, C.

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p. 184-205

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An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space

Bobkov, S. G.

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p. 206-214

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Nested classes of $C$-decomposable laws

Bunge, John

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p. 215-229

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Absolute continuity of symmetric diffusions

Fitzsimmons, P. J.

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p. 230-258

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Moderate deviations for empirical measures of Markov chains: lower bounds

de Acosta, A.

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p. 259-284

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Self-normalized large deviations

Shao, Qi-Man

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p. 285-328

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String matching bounds via coding

Shields, Paul C.

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p. 329-336

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Seneta-Heyde norming in the branching random walk

Biggins, J. D. ; Kyprianou, A. E.

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p. 337-360

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Vertex-reinforced random walks and a conjecture of Pemantle

Benaïm, Michel

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p. 361-392

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The Euler scheme for Lévy driven stochastic differential equations

Protter, Philip ; Talay, Denis

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p. 393-423

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On the lower tail probabilities of some random series

Lifshits, M. A.

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p. 424-442

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Central limit theorem for linear processes

Peligrad, Magda ; Utev, Sergey

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p. 443-456

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Rate of convergence to Gaussian measures on $n$-spheres and Jacobi hypergroups

Voit, Michael

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p. 457-477

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The random difference equation $X\sb n=A\sb nX\sb {n-1}+B\sb n$ in the critical case

Babillot, Martine ; Bougerol, Philippe ; Elie, Laure

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p. 478-493

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Circular law

Bai, Z. D.

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p. 494-529

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On self-attracting $d$-dimensional random walks

Bolthausen, Erwin ; Schmock, Uwe

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p. 531-572

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Central limit theorem for the Edwards model

van der Hofstad, R. ; den Hollander, F. ; König, W.

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p. 573-597

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The fluctuation result for the multiple point range of two-dimensional recurrent random walks

Hamana, Yuji

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p. 598-639

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Natural linear additive functionals of superprocesses

Dynkin, E. B. ; Kuznetsov, S. E.

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p. 640-661

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Nonlinear parabolic P.D.E.\ and additive functionals of superdiffusions

Dynkin, E. B. ; Kuznetsov, S. E.

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p. 662-701

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Reflected solutions of backward SDE's, and related obstacle problems for PDE's

El Karoui, N. ; Kapoudjian, C. ; Pardoux, E. ; Peng, S. ; Quenez, M. C.

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p. 702-737

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Théoràme ergodique ponctuel et lois fortes des grands nombres pour des points aléatoires d'un espace métrique à courbure négative

Raynaud de Fitte, Paul

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p. 738-766

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When is a probability measure determined by infinitely many projections?

Bélisle, Claude ; Massé, Jean-Claude ; Ransford, Thomas

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p. 767-786

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Ladder heights, Gaussian random walks and the Riemann zeta function

Chang, Joseph T. ; Peres, Yuval

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p. 787-802

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Some best possible prophet inequalities for convex functions of sums of independent variates and unordered martingale difference sequences

Choi, K. P. ; Klass, Michael J.

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p. 803-811

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Brownian excursions, critical random graphs and the multiplicative coalescent

Aldous, David

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p. 812-854

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The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator

Pitman, Jim ; Yor, Marc

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p. 855-900

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Entropy minimization and Schrödinger processes in infinite dimensions

Föllmer, Hans ; Gantert, Nina

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p. 901-926

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Information inequalities and concentration of measure

Dembo, Amir

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p. 927-939

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Asymptotic properties of additive functionals of Brownian motion

Takeda, Masayoshi ; Zhang, Tusheng

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p. 940-952

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Le point d'un fermé le plus visité par le mouvement brownien

Leuridan, Christophe

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p. 953-996

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Semimartingale integral representation

Ahn, Hyungsok

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p. 997-1010

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Some Brownian functionals and their laws

Donati-Martin, C. ; Yor, M.

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p. 1011-1058

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Brownian motion on a random recursive Sierpinski gasket

Hambly, B. M.

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p. 1059-1102

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Holomorphic diffusions and boundary behavior of harmonic functions

Chen, Zhen-Qing ; Durrett, Richard ; Ma, Gang

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p. 1103-1134

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Backwards SDE with random terminal time and applications to semilinear elliptic PDE

Darling, R. W. R. ; Pardoux, Etienne

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p. 1135-1159

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Geometric aspects of Fleming-Viot and Dawson-Watanabe processes

Schied, Alexander

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p. 1160-1179

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Capacity and principal eigenvalues: the method of enlargement of obstacles revisited

Sznitman, Alain-Sol

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p. 1180-1209

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Lyapunov exponents of linear stochastic functional-differential equations. II. Examples and case studies

Mohammed, Salah-Eldin A. ; Scheutzow, Michael K. R.

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p. 1210-1240

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Liapounov exponents of stochastic flows

Liao, Ming

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p. 1241-1256

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Stochastic integrals: a combinatorial approach

Rota, Gian-Carlo ; Wallstrom, Timothy C.

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p. 1257-1283

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Global specifications and nonquasilocality of projections of Gibbs measures

Fernández, R. ; Pfister, C.-E.

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p. 1284-1315

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A constructive mixing condition for 2-D Gibbs measures with random interactions

van den Berg, J.

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p. 1316-1333

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Localization transition for a polymer near an interface

Bolthausen, Erwin ; den Hollander, Frank

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p. 1334-1366

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Symmetric Langevin spin glass dynamics

Ben Arous, G. ; Guionnet, A.

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p. 1367-1422

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Infinite clusters in dependent automorphism invariant percolation on trees

Häggström, Olle

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p. 1423-1436

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The representation of composition structures

Gnedin, Alexander V.

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p. 1437-1450

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Approximation of partial sums of arbitrary i.i.d. random variables and the precision of the usual exponential upper bound

Hahn, Marjorie G. ; Klass, Michael J.

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p. 1451-1470

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Order of magnitude bounds for expectations of $\Delta_2$-functions of nonnegative random bilinear forms and generalized $U$-statistics

Klass, Michael J. ; Nowicki, Krzysztof

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p. 1471-1501

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Estimation of moments of sums of independent real random variables

Latała, Rafał

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p. 1502-1513

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When is the Student $t$-statistic asymptotically standard normal?

Giné, Evarist ; Götze, Friedrich ; Mason, David M.

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p. 1514-1531

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BOOK REVIEW of "Positive Harmonic Functions and Diffusion: An Integrated Analytic and Probabilistic Approach" by Ross G. Pinsky

Bass, Richard F.

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p. 1532-1535

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BOOK REVIEW of "Markov Chains and Stochastic Stability" by S.P. Meyn and R.L. Tweedie

Wihstutz, Volker

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p. 1536-1540

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Correction: “Asymptotics of a class of Markov processes which are not in general irreducible” [Ann. Probab. 16 (1988), no. 3, 1333–1347; MR 89m:60148]

Bhattacharya, Rabi N. ; Lee, Oesook

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p. 1541-1543

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Limit theorems for products of positive random matrices

Hennion, H.

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p. 1545-1587

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A universal form of the Chung-type law of the iterated logarithm

Kesten, Harry

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p. 1588-1620

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Strong approximation theorems for geometrically weighted random series and their applications

Zhang, Li-Xin

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p. 1621-1635

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Limit theorems for functionals of moving averages

Ho, Hwai-Chung ; Hsing, Tailen

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p. 1636-1669

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Multiple scale analysis of clusters in spatial branching models

Klenke, Achim

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p. 1670-1711

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Local asymptotic classes for the successive primitives of Brownian motion

Lachal, Aimé

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p. 1712-1734

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Critical large deviations of one-dimensional annealed Brownian motion in a Poissonian potential

Povel, Tobias

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p. 1735-1773

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The mean velocity of a Brownian motion in a random Lévy potential

Carmona, Philippe

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p. 1774-1788

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On SPDE's and superdiffusions

Krylov, N. V.

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p. 1789-1809

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On $L^2$-projections on a space of stochastic integrals

Rheinländer, Thorsten ; Schweizer, Martin

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p. 1810-1831

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Percolation and contact processes with low-dimensional inhomogeneity

Newman, Charles M. ; Wu, C. Chris

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p. 1832-1845

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The second lowest extremal invariant measure of the contact process

Salzano, Marcia ; Schonmann, Roberto H.

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p. 1846-1871

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A martingale approach to homogenization of unbounded random flows

Fannjiang, Albert ; Komorowski, Tomasz

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p. 1872-1894

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On the error estimate of the integral kernel for the Trotter product formula for Schrödinger operators

Takanobu, Satoshi

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p. 1895-1952

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Asymptotics for the principal eigenvalue and eigenfunction of a nearly first-order operator with large potential

Fleming, Wendell H. ; Sheu, Shuenn-Jyi

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p. 1953-1994

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Sharp explicit lower bounds of heat kernels

Wang, Feng-Yu

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p. 1995-2006

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Strong laws for local quantile processes

Deheuvels, Paul

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p. 2007-2054

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Moments of randomly stopped $U$-statistics

de la Peña, Victor H. ; Lai, Tze Leung

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p. 2055-2081

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