VOL. 15 · NO. 4 | October, 1987
Ann. Probab. 15 (4), (October, 1987) DOI: 10.1214/aop/1176991973
No abstract available
Front Matter
Ann. Probab. 15 (4), (October, 1987)
No abstract available
The 1986 Wald Memorial Lectures
Harry Kesten
Ann. Probab. 15 (4), 1231-1271, (October, 1987) DOI: 10.1214/aop/1176991975
KEYWORDS: percolation, First-passage percolation, phase transition, power laws, Critical exponents, scaling relations, resistance of random networks, flow problem, Incipient infinite cluster, Invasion percolation, asymptotic shape, Eden's model, time constants, minimal surfaces, 60K35, 82A43, 82A68, 60K10
J. T. Chayes, L. Chayes, C. M. Newman
Ann. Probab. 15 (4), 1272-1287, (October, 1987) DOI: 10.1214/aop/1176991976
KEYWORDS: Bernoulli percolation, Invasion percolation, truncated connectivity function, cluster size distribution, 60K35, 60D05
Antonio Galves, Enzo Olivieri, Maria Eulalia Vares
Ann. Probab. 15 (4), 1288-1305, (October, 1987) DOI: 10.1214/aop/1176991977
KEYWORDS: metastability, large deviations, dynamical systems, 60H10, 60J05
R. M. Dudley
Ann. Probab. 15 (4), 1306-1326, (October, 1987) DOI: 10.1214/aop/1176991978
KEYWORDS: central limit theorems, Vapnik-Cervonenkis classes, 60F17, 60F05, 60G17, 60G20
Michel Talagrand
Ann. Probab. 15 (4), 1327-1338, (October, 1987) DOI: 10.1214/aop/1176991979
KEYWORDS: central limit theorems, Empirical processes, functional Donsker classes, Metric entropy, 60F17, 60B12, 60F05, 62E20
Robert J. Adler, Gennady Samorodnitsky
Ann. Probab. 15 (4), 1339-1351, (October, 1987) DOI: 10.1214/aop/1176991980
KEYWORDS: Gaussian processes, isonormal process, supremum, Metric entropy, Brownian sheet, Empirical processes, 60G15, 60G57, 60F10, 62G30
R. A. Doney
Ann. Probab. 15 (4), 1352-1362, (October, 1987) DOI: 10.1214/aop/1176991981
KEYWORDS: Stable processes, Wiener-Hopf factorisation, supremum functional, Levy process, Darling's integral, 60J30
Paul Deheuvels, Luc Devroye
Ann. Probab. 15 (4), 1363-1386, (October, 1987) DOI: 10.1214/aop/1176991982
KEYWORDS: Erdos-Renyi-Shepp laws, large deviations, moving averages, laws of large numbers, Law of the iterated logarithm, 60F15, 60F10
Magda Peligrad
Ann. Probab. 15 (4), 1387-1394, (October, 1987) DOI: 10.1214/aop/1176991983
KEYWORDS: $\rho$-mixing sequences, central limit theorem, strict stationarity, maximal correlation, 60F05, 60B10
M. G. Hahn, J. Kuelbs, J. D. Samur
Ann. Probab. 15 (4), 1395-1418, (October, 1987) DOI: 10.1214/aop/1176991984
KEYWORDS: asymptotic normality, $\Phi$-mixing, trimmed sums, extreme terms, Ibragimov's conjecture, 60F05, 60F15
Uwe Einmahl
Ann. Probab. 15 (4), 1419-1440, (October, 1987) DOI: 10.1214/aop/1176991985
KEYWORDS: Strong invariance principles, partial sums of independent random vectors, strong approximations, 60F17, 60F15
Miklos Csorgo, Lajos Horvath, Josef Steinebach
Ann. Probab. 15 (4), 1441-1460, (October, 1987) DOI: 10.1214/aop/1176991986
KEYWORDS: Renewal process, Wiener process, strong approximation, Probability inequalities, Prohorov-Levy distance, 60F17, 60K05
Naresh C. Jain, William E. Pruitt
Ann. Probab. 15 (4), 1461-1490, (October, 1987) DOI: 10.1214/aop/1176991987
KEYWORDS: lattice random walk, increments of local time, $\lim \sup$ behavior, $\lim \inf$ behavior, 60J15, 60J55
Wilfrid S. Kendall
Ann. Probab. 15 (4), 1491-1500, (October, 1987) DOI: 10.1214/aop/1176991988
KEYWORDS: Brownian motion, Laplace-Beltrami operator, cut-locus, Comparison theorem, 60J65, 58G32
Neil Falkner
Ann. Probab. 15 (4), 1501-1514, (October, 1987) DOI: 10.1214/aop/1176991989
KEYWORDS: $h$-path Brownian motion, conditional gauge, 60J45, 60J65
P. J. Fitzsimmons
Ann. Probab. 15 (4), 1515-1523, (October, 1987) DOI: 10.1214/aop/1176991990
KEYWORDS: Brownian motion, One-dimensional diffusion, generator, scale function, Speed measure, Regenerative set, 60J65, 60J25, 60J35, 60J60
L. Barba Escriba
Ann. Probab. 15 (4), 1524-1526, (October, 1987) DOI: 10.1214/aop/1176991991
KEYWORDS: Brownian motion, stopping time, moment generating function, martingale, 60G40, 60J65
Avi Mandelbaum
Ann. Probab. 15 (4), 1527-1556, (October, 1987) DOI: 10.1214/aop/1176991992
KEYWORDS: Multi-armed bandits, Dynamic allocation, Gittins' index, multiparameter processes, Diffusions, Local time, optional increasing path, Stochastic control, 62L99, 93E20, 60J60, 60K10, 60G17, 60J55
F. P. Kelly, I. M. MacPhee
Ann. Probab. 15 (4), 1557-1568, (October, 1987) DOI: 10.1214/aop/1176991993
KEYWORDS: Random access, exponential backoff, 60K99, 60F20, 94A99
Terry R. McConnell
Ann. Probab. 15 (4), 1569-1585, (October, 1987) DOI: 10.1214/aop/1176991994
KEYWORDS: Maximal ergodic theorem, Strong law of large numbers, Two-parameter martingales, Decoupling, 28D05, 60G60
Bruce M. Hill, David Lane, William Sudderth
Ann. Probab. 15 (4), 1586-1592, (October, 1987) DOI: 10.1214/aop/1176991995
KEYWORDS: Exchangeable, generalized urn process, Polya urn, 60G09, 62A15
Ulrich Krengel, Louis Sucheston
Ann. Probab. 15 (4), 1593-1599, (October, 1987) DOI: 10.1214/aop/1176991996
KEYWORDS: prophet inequality, transforms of processes, 60G40
Douglas N. Hoover
Ann. Probab. 15 (4), 1600-1611, (October, 1987) DOI: 10.1214/aop/1176991997
KEYWORDS: Adapted distribution, Synonymity, Stochastic differential equations, 60G07, 60H10
Book Review
G. R. Grimmett
Ann. Probab. 15 (4), 1612-1617, (October, 1987) DOI: 10.1214/aop/1176991998
No abstract available
Back Matter
Ann. Probab. 15 (4), (October, 1987)
No abstract available
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