VOL. 13 · NO. 4 | November, 1985
Ann. Probab. 13 (4), (November, 1985) DOI: 10.1214/aop/1176992796 Open Access
No abstract available
Front Matter
Ann. Probab. 13 (4), (November, 1985) Open Access
No abstract available
Special Invited Paper
G. Kallianpur, R. L. Karandikar
Ann. Probab. 13 (4), 1033-1107, (November, 1985) DOI: 10.1214/aop/1176992798 Open Access
KEYWORDS: Finitely additive white noise, optimal filter, lifting, quasicylindrical mapping, conditional expectation, Bayes formula, robustness, 60A05, 60G35, 60H15
J. Theodore Cox, David Griffeath
Ann. Probab. 13 (4), 1108-1132, (November, 1985) DOI: 10.1214/aop/1176992799 Open Access
KEYWORDS: Infinite particle system, Branching Brownian motion, Occupation times, strong laws, central limit theorems, large deviations, Cumulants, 60K35
A. Greven
Ann. Probab. 13 (4), 1133-1147, (November, 1985) DOI: 10.1214/aop/1176992800 Open Access
KEYWORDS: infinite particle systems, random environment, 60K35
R. M. Huggins
Ann. Probab. 13 (4), 1148-1156, (November, 1985) DOI: 10.1214/aop/1176992801 Open Access
KEYWORDS: Law of the iterated logarithm, Brownian motion, stopping times, martingale, branching process, 60F15, 60G42, 60J80
Petra Kuster
Ann. Probab. 13 (4), 1157-1178, (November, 1985) DOI: 10.1214/aop/1176992802 Open Access
KEYWORDS: Galton-Watson process, state-dependent offspring distribution, $\varphi$-controlled branching process, population-size-dependent branching process, Growth model, Growth rate, 60J80, 60F15, 60J10
Harry Cohn
Ann. Probab. 13 (4), 1179-1191, (November, 1985) DOI: 10.1214/aop/1176992803 Open Access
KEYWORDS: Supercritical (CMJ) branching process, martingale, convergence, functional equation, 60K99, 60J80
Michel Talagrand
Ann. Probab. 13 (4), 1192-1203, (November, 1985) DOI: 10.1214/aop/1176992804 Open Access
KEYWORDS: Banach space, decomposition of martingales, generalization of martingales, 60G48, 60B11
Steven J. Janke
Ann. Probab. 13 (4), 1204-1218, (November, 1985) DOI: 10.1214/aop/1176992805 Open Access
KEYWORDS: Recurrent set, transient process, ‎kernel‎, potential measure, Subordinators, Levy measure, 60J30, 60G17, 60J45, 60K05
Robert Cogburn
Ann. Probab. 13 (4), 1219-1223, (November, 1985) DOI: 10.1214/aop/1176992806 Open Access
KEYWORDS: first passage times, return times, Harris recurrent Markov chains, state sets of small probability, exponential distribution, 60J05, 60G10, 60K05, 60E05, 60F05
Harry E. Hurzeler
Ann. Probab. 13 (4), 1224-1235, (November, 1985) DOI: 10.1214/aop/1176992807 Open Access
KEYWORDS: partially ordered index set, stopping time, stopping domain, optional sampling theorem, (super)martingale, strong (super)martingale, $S$-process, associated measure, 60G40, 60G48
Richard Arratia, Michael S. Waterman
Ann. Probab. 13 (4), 1236-1249, (November, 1985) DOI: 10.1214/aop/1176992808 Open Access
KEYWORDS: Entropy, Kullback-Liebler distance, large deviations, Sequence matching, 60J10, 68G10, 94A17
Peter Hall
Ann. Probab. 13 (4), 1250-1266, (November, 1985) DOI: 10.1214/aop/1176992809 Open Access
KEYWORDS: continuum percolation, Critical intensity, geometric probability, lattice percolation, Poisson process, 60D05, 60655
Robert Burton, Ed Waymire
Ann. Probab. 13 (4), 1267-1278, (November, 1985) DOI: 10.1214/aop/1176992810 Open Access
KEYWORDS: association, random measure, point random field, central limit theorem, 60G57, 60F05
Thomas M. Liggett
Ann. Probab. 13 (4), 1279-1285, (November, 1985) DOI: 10.1214/aop/1176992811 Open Access
KEYWORDS: Subadditive processes, ergodic theory, percolation, contact processes, 60F15, 60K35
Allan Gut
Ann. Probab. 13 (4), 1286-1291, (November, 1985) DOI: 10.1214/aop/1176992812 Open Access
KEYWORDS: complete convergence, subsequence, i.i.d. random variables, Strong law of large numbers, 60F15, 60G50
Andrew R. Barron
Ann. Probab. 13 (4), 1292-1303, (November, 1985) DOI: 10.1214/aop/1176992813 Open Access
KEYWORDS: Shannon-McMillan-Breiman theorem, Moy-Perez theorem, asymptotic equipartition property, martingale inequalities, Entropy, Information, ergodic theorems, asymptotically mean stationary, 28D05, 94A17, 62B10, 60F15, 60G10, 60G42, 28D20
Magda Peligrad
Ann. Probab. 13 (4), 1304-1313, (November, 1985) DOI: 10.1214/aop/1176992814 Open Access
KEYWORDS: invariance principle, $\phi$-mixing sequence, uniform integrability, Lindeberg condition, 60F05, 60B10
Richard C. Bradley
Ann. Probab. 13 (4), 1314-1325, (November, 1985) DOI: 10.1214/aop/1176992815 Open Access
KEYWORDS: Strong mixing, absolute regularity, central limit theorem, 60G10, 60F05
Shihong Cheng
Ann. Probab. 13 (4), 1326-1340, (November, 1985) DOI: 10.1214/aop/1176992816 Open Access
KEYWORDS: order statistics, Stationary sequences, limiting distributions, variable rank sequences, 60F05, 60G10, 60G15
C. Bruni, G. Koch
Ann. Probab. 13 (4), 1341-1357, (November, 1985) DOI: 10.1214/aop/1176992817 Open Access
KEYWORDS: Identifiability of measures, mixture of Gaussian distributions, Fredholm equations, 60E05, 45B05
Short Communications
Ming Liao
Ann. Probab. 13 (4), 1358-1363, (November, 1985) DOI: 10.1214/aop/1176992818 Open Access
KEYWORDS: Markov processes, hitting times, hitting distributions, last exit times, last exit distributions, 60J40, 60J45
Jack W. Silverstein
Ann. Probab. 13 (4), 1364-1368, (November, 1985) DOI: 10.1214/aop/1176992819 Open Access
KEYWORDS: Smallest eigenvalue of random matrix, Gersgorin's theorem, $\chi^2$ distribution, 60F15, 62H99
Michael J. Klass
Ann. Probab. 13 (4), 1369-1370, (November, 1985) DOI: 10.1214/aop/1176992820 Open Access
KEYWORDS: Partial maxima, minimal growth rate, upper and lower class sequences, strong limit theorems, 60F15, 60F20, 60F10, 60G99
Gideon Schwarz
Ann. Probab. 13 (4), 1371-1372, (November, 1985) DOI: 10.1214/aop/1176992821 Open Access
KEYWORDS: Uniform marginals, 60E05, 62E10
Madan L. Puri, Dan A. Ralescu
Ann. Probab. 13 (4), 1373-1379, (November, 1985) DOI: 10.1214/aop/1176992822 Open Access
KEYWORDS: Fuzzy set, fuzzy random variable, ‎embedding‎, Gaussian element, 60D05, 03E72
Back Matter
Ann. Probab. 13 (4), (November, 1985) Open Access
No abstract available
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