VOL. 21 · NO. 3 | July, 1993
Front Matter
Ann. Probab. 21 (3), (July, 1993) Open Access
No abstract available
The 1991 Wald Memorial Lectures
E. B. Dynkin
Ann. Probab. 21 (3), 1185-1262, (July, 1993) DOI: 10.1214/aop/1176989116 Open Access
KEYWORDS: Measure-valued processes, branching processes, Branching particle systems, Super-Brownian motion, probabilistic solutions of PDEs, nonlinear PDEs, graph and range of superdiffusions, Capacities, polar sets, Hausdorff measures, 60J80, 60J60, 35K15, 60J57, 60J65, 60J17, 35K45, 60J25
Ray Cheng
Ann. Probab. 21 (3), 1263-1274, (July, 1993) DOI: 10.1214/aop/1176989117 Open Access
KEYWORDS: stationary random field, Prediction theory, commutation property, outer function, 60G60, 60G25, 32A35‎
Z. D. Bai, Y. Q. Yin
Ann. Probab. 21 (3), 1275-1294, (July, 1993) DOI: 10.1214/aop/1176989118 Open Access
KEYWORDS: Random matrix, Sample covariance matrix, smallest eigenvalue of a random matrix, spectral radius, 60F15, 62H99
Fu-Chen Chang, J. H. B. Kemperman, W. J. Studden
Ann. Probab. 21 (3), 1295-1309, (July, 1993) DOI: 10.1214/aop/1176989119 Open Access
KEYWORDS: Moment spaces, canonical moments, normal limit, Random walk, 60F05, 30E05, 60D05, 60J15, 33C45
Michael Falk, Frank Marohn
Ann. Probab. 21 (3), 1310-1328, (July, 1993) DOI: 10.1214/aop/1176989120 Open Access
KEYWORDS: Von Mises conditions, Extreme value theory, extreme value distribution, Extreme order statistics, generalized Pareto distribution, rate of convergence, empirical point process, 60G70, 62G30
Robert Burton, Robin Pemantle
Ann. Probab. 21 (3), 1329-1371, (July, 1993) DOI: 10.1214/aop/1176989121 Open Access
KEYWORDS: spanning tree, transfer-impedance, domino, dimer, perfect matching, Entropy, 60C05, 60K35
J. M. Carlson, E. R. Grannan, G. H. Swindle, J. Tour
Ann. Probab. 21 (3), 1372-1393, (July, 1993) DOI: 10.1214/aop/1176989122 Open Access
KEYWORDS: Hydrodynamic limit, singular diffusion, fast diffusion, Self-organized criticality, 60K35, 82C20
Luiz Renato G. Fontes
Ann. Probab. 21 (3), 1394-1412, (July, 1993) DOI: 10.1214/aop/1176989123 Open Access
KEYWORDS: Ising model, intermediate phase, 60K35
Haiyan Cai, Xiaolong Luo
Ann. Probab. 21 (3), 1413-1426, (July, 1993) DOI: 10.1214/aop/1176989124 Open Access
KEYWORDS: Law of Large Numbers, Characteristic function, cellular automaton, Pascal's triangle $\mod p$, 60K35
Daniel Boivin
Ann. Probab. 21 (3), 1427-1440, (July, 1993) DOI: 10.1214/aop/1176989125 Open Access
KEYWORDS: Reversible random walks, central limit theorem, random bond conductivity, 60J15
Boris Pittel
Ann. Probab. 21 (3), 1441-1477, (July, 1993) DOI: 10.1214/aop/1176989126 Open Access
KEYWORDS: Stable matching, random preferences, asymptotic mean, variance, ranks, order, conditional, Probability, 60C05, 60F99, 05A05, 05C70, 05C80, 41A60, 41A63
L. Accardi, Y. G. Lu
Ann. Probab. 21 (3), 1478-1493, (July, 1993) DOI: 10.1214/aop/1176989127 Open Access
KEYWORDS: De Finetti's theorem, exchangeable increments, conditional, finite De Finetti's theorem, exchangeable conditional expectations, 60B15, 60C05
Miguel A. Arcones, Evarist Gine
Ann. Probab. 21 (3), 1494-1542, (July, 1993) DOI: 10.1214/aop/1176989128 Open Access
KEYWORDS: $U$-process, uniform central limit theorem, uniform law of large numbers, Metric entropy, 60F17, 62E20, 60F15, 60B12
Ken-Iti Sato
Ann. Probab. 21 (3), 1543-1549, (July, 1993) DOI: 10.1214/aop/1176989129 Open Access
KEYWORDS: unimodal, $n$-modal, $\infty$-modal, convolution, modes, bottoms, 60E05
Vincent De Valk
Ann. Probab. 21 (3), 1550-1570, (July, 1993) DOI: 10.1214/aop/1176989130 Open Access
KEYWORDS: One-dependence, block-factors, Hilbert space representations, stationary process, $m$-dependence, dynamical systems, zero-cylinders, invariant cones, 60G10, 28D05, 54H20‎, 52A20
S. N. Ethier, R. C. Griffiths
Ann. Probab. 21 (3), 1571-1590, (July, 1993) DOI: 10.1214/aop/1176989131 Open Access
KEYWORDS: Infinite-dimensional diffusion process, measure-valued diffusion, Poisson-Dirichlet distribution, infinitely-many-neutral-alleles diffusion model, Population genetics, 60G57, 60J35, 60J60, 92D15
Nathalie Eisenbaum, Haya Kaspi
Ann. Probab. 21 (3), 1591-1598, (July, 1993) DOI: 10.1214/aop/1176989132 Open Access
KEYWORDS: Local time, Excursions, 60J55, 60J60
Stephen M. Krone
Ann. Probab. 21 (3), 1599-1623, (July, 1993) DOI: 10.1214/aop/1176989133 Open Access
KEYWORDS: Superprocesses, Measure-valued processes, Local times, Joint continuity, Holder continuity, path properties, Hausdorff dimension, 60J55, 60G17, 60G57
Raul Gouet
Ann. Probab. 21 (3), 1624-1639, (July, 1993) DOI: 10.1214/aop/1176989134 Open Access
KEYWORDS: urn model, limit theorems, Martingales, 60F17, 60K99
I. Berkes, H. Dehling
Ann. Probab. 21 (3), 1640-1670, (July, 1993) DOI: 10.1214/aop/1176989135 Open Access
KEYWORDS: Pathwise Central Limit Theorem, log-averaging methods, stable convergence, strong approximation, Law of Large Numbers, 60F05, 60F17, 60F15
Narasinga Rao Chaganty, Jayaram Sethuraman
Ann. Probab. 21 (3), 1671-1690, (July, 1993) DOI: 10.1214/aop/1176989136 Open Access
KEYWORDS: large deviations, Local limit theorems, 60F10, 60F05, 60F15
Tadeusz Inglot, Teresa Ledwina
Ann. Probab. 21 (3), 1691-1705, (July, 1993) DOI: 10.1214/aop/1176989137 Open Access
KEYWORDS: large deviations, moderately large deviations, weighted empirical process, Anderson-Darling statistic, Groeneboom-Shorack statistic, 60F10, 62E15, 62E20
Emmanuel Rio
Ann. Probab. 21 (3), 1706-1727, (July, 1993) DOI: 10.1214/aop/1176989138 Open Access
KEYWORDS: central limit theorem, set-indexed process, partial-sum process, invariance principle, metric entropy with inclusion, multivariate empirical processes, 60F17, 62G99
Ognian Enchev
Ann. Probab. 21 (3), 1728-1754, (July, 1993) DOI: 10.1214/aop/1176989139 Open Access
KEYWORDS: Kallianpur-Striebel formula, nonlinear filtering equation, Girsanov's theorem, 60G15, 60G35, 60H20, 93E11, 94A12
Back Matter
Ann. Probab. 21 (3), (July, 1993) Open Access
No abstract available
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