VOL. 15 · NO. 4 | October, 1987
Ann. Probab. 15 (4), (October, 1987) DOI: 10.1214/aop/1176991973 Open Access
No abstract available
Front Matter
Ann. Probab. 15 (4), (October, 1987) Open Access
No abstract available
The 1986 Wald Memorial Lectures
Harry Kesten
Ann. Probab. 15 (4), 1231-1271, (October, 1987) DOI: 10.1214/aop/1176991975 Open Access
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 Open Access
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 Open Access
KEYWORDS: metastability, large deviations, dynamical systems, 60H10, 60J05
R. M. Dudley
Ann. Probab. 15 (4), 1306-1326, (October, 1987) DOI: 10.1214/aop/1176991978 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
KEYWORDS: Random access, exponential backoff, 60K99, 60F20, 94A99
Terry R. McConnell
Ann. Probab. 15 (4), 1569-1585, (October, 1987) DOI: 10.1214/aop/1176991994 Open Access
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 Open Access
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 Open Access
KEYWORDS: prophet inequality, transforms of processes, 60G40
Douglas N. Hoover
Ann. Probab. 15 (4), 1600-1611, (October, 1987) DOI: 10.1214/aop/1176991997 Open Access
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 Open Access
No abstract available
Back Matter
Ann. Probab. 15 (4), (October, 1987) Open Access
No abstract available
Back to Top