VOL. 11 · NO. 3 | August, 1983
Front Matter
Ann. Probab. 11 (3), (August, 1983) Open Access
No abstract available
Special Invited Paper
V. A. Kaimanovich, A. M. Vershik
Ann. Probab. 11 (3), 457-490, (August, 1983) DOI: 10.1214/aop/1176993497 Open Access
KEYWORDS: Random walk on group, exit boundary, entropy of random walk, $n$-fold convolution, invariant mean, amenability, 22D40, 28D20, ‎43A07‎, 60B15, 20F99, 60J15, 60J50
Michael J. Klass
Ann. Probab. 11 (3), 491-505, (August, 1983) DOI: 10.1214/aop/1176993498 Open Access
KEYWORDS: Random walk, negative drift, fluctuation theory, expected maximum, ladder variables, renewal theory, infinite mean variables, 60F10, 60G50, 60J15, 60K05
J. Kuelbs, J. Zinn
Ann. Probab. 11 (3), 506-557, (August, 1983) DOI: 10.1214/aop/1176993499 Open Access
KEYWORDS: Law of the iterated logarithm, cluster set, central limit theorem, LIL behavior, 60B05, 60F05, 60F10, 60F15, 28A40, 60B10
Svante Janson
Ann. Probab. 11 (3), 558-568, (August, 1983) DOI: 10.1214/aop/1176993500 Open Access
KEYWORDS: renewal theory, first passage times, $m$-dependent variables, 60K05, 60G40, 60G42
Allan Gut
Ann. Probab. 11 (3), 569-577, (August, 1983) DOI: 10.1214/aop/1176993501 Open Access
KEYWORDS: i.i.d. random variables, multidimensional index, Law of the iterated logarithm, Strong law of large numbers, convergence rate, 60F15, 60G50, 60G42
R. F. Bass, M. Cranston
Ann. Probab. 11 (3), 578-588, (August, 1983) DOI: 10.1214/aop/1176993502 Open Access
KEYWORDS: Symmetric stable process, maximal function, exit times, 60J45, 60G46
W. J. Hendricks
Ann. Probab. 11 (3), 589-592, (August, 1983) DOI: 10.1214/aop/1176993503 Open Access
KEYWORDS: Hausdorff dimension, Levy processes, Sample path properties, 60G17, 60J30, 60J40, 60J25
E. Csaki, M. Csorgo, A. Foldes, P. Revesz
Ann. Probab. 11 (3), 593-608, (August, 1983) DOI: 10.1214/aop/1176993504 Open Access
KEYWORDS: Local time, Wiener process (Brownian motion), big increments and continuity of Brownian local time, 60J55, 60J65, 60G17, 60G57
D. L. Hanson, Ralph P. Russo
Ann. Probab. 11 (3), 609-623, (August, 1983) DOI: 10.1214/aop/1176993505 Open Access
KEYWORDS: Increments of a Wiener process, Wiener process, Law of iterated logarithm, lag sums, sums of random variables, 60F15, 60G15, 60G17
Kyle Siegrist
Ann. Probab. 11 (3), 624-634, (August, 1983) DOI: 10.1214/aop/1176993506 Open Access
KEYWORDS: Markov process, revival process, Harmonic function, Dirichlet problem, characteristic operator, branching process, random evolution, 60J45, 60J25, 60J80
M. Emery, C. Stricker, J. A. Yan
Ann. Probab. 11 (3), 635-641, (August, 1983) DOI: 10.1214/aop/1176993507 Open Access
KEYWORDS: local martingales, stopping times, predictable representation property, stochastic integrals, 60G44, 60H05, 60G07
G. F. Lawler, R. J. Vanderbei
Ann. Probab. 11 (3), 642-647, (August, 1983) DOI: 10.1214/aop/1176993508 Open Access
KEYWORDS: Optimal control problem, partially ordered index set, Markov strategies, 60G40, 60G45
Rene Carmona, Abel Klein
Ann. Probab. 11 (3), 648-655, (August, 1983) DOI: 10.1214/aop/1176993509 Open Access
KEYWORDS: moment generating function, hitting times, uniformly ergodic Markov processes, 60J99
J. Reid
Ann. Probab. 11 (3), 656-668, (August, 1983) DOI: 10.1214/aop/1176993510 Open Access
KEYWORDS: Stochastic differential equations in the plane, two-parameter Ito formula, Gronwall's inequality, 60H15, 60G44
Yves Derriennic
Ann. Probab. 11 (3), 669-677, (August, 1983) DOI: 10.1214/aop/1176993511 Open Access
KEYWORDS: ergodic theorem, a.e. convergence, $L^1$-convergence, subadditive sequence, almost subadditive sequence, Entropy, 28D05, 60G10
Arif Zaman
Ann. Probab. 11 (3), 678-684, (August, 1983) DOI: 10.1214/aop/1176993512 Open Access
KEYWORDS: Shift invariance, extreme points, de Bruijn graphs, shift registers, 60G10, 05C38
T. Byczkowski, A. Hulanicki
Ann. Probab. 11 (3), 685-691, (August, 1983) DOI: 10.1214/aop/1176993513 Open Access
KEYWORDS: Gaussian semigroups of measures, Trotter approximation theorem, 60B15, 22E30
David Griffeath
Ann. Probab. 11 (3), 692-705, (August, 1983) DOI: 10.1214/aop/1176993514 Open Access
KEYWORDS: contact processes, interacting particle systems, critical values, phase transition, Feynman-Kac formula, 60K35
Richard Arratia
Ann. Probab. 11 (3), 706-713, (August, 1983) DOI: 10.1214/aop/1176993515 Open Access
KEYWORDS: interacting particle systems, annihilating random walks, 60K35
Thomas M. Liggett
Ann. Probab. 11 (3), 714-725, (August, 1983) DOI: 10.1214/aop/1176993516 Open Access
KEYWORDS: interacting particle systems, Critical phenomena, Critical exponents, reversible Markov chains, 60K35
Timothy C. Brown
Ann. Probab. 11 (3), 726-744, (August, 1983) DOI: 10.1214/aop/1176993517 Open Access
KEYWORDS: point process, marks, Poisson process, compensator, discrete approximations, 60G55, 60G44, 60G07
B. W. Silverman
Ann. Probab. 11 (3), 745-751, (August, 1983) DOI: 10.1214/aop/1176993518 Open Access
KEYWORDS: weak convergence, sup-norm metrics, empirical process, dissociated random variables, $U$-statistics, order statistics, $GL$-statistics, asymptotic normality, 60F17, 62E20, 62G80
Moshe Shaked
Ann. Probab. 11 (3), 752-759, (August, 1983) DOI: 10.1214/aop/1176993519 Open Access
KEYWORDS: Homogeneous increasing functions, coherent life functions, multivariate NBU, exponential distribution, upper set, 62N05, 62H05
Philip J. Boland, Frank Proschan
Ann. Probab. 11 (3), 760-764, (August, 1983) DOI: 10.1214/aop/1176993520 Open Access
KEYWORDS: $k$ out of $n$ systems, majorization, Schur-convexity and Schur-concavity, independent Bernoulli trials, 60C05, 62N05, 62E15, 26B25
David C. Cox, J. H. B. Kemperman
Ann. Probab. 11 (3), 765-771, (August, 1983) DOI: 10.1214/aop/1176993521 Open Access
KEYWORDS: Sharp bounds on moments, sum of two i.i.d. random variables, Martingales, 60E15, 60G50, 60G42
J. Rousseau-Egele
Ann. Probab. 11 (3), 772-788, (August, 1983) DOI: 10.1214/aop/1176993522 Open Access
KEYWORDS: central limit theorem, local limit theorem, 60F05, 60J05, 60J10, 10K05, 28D05
Steve Alpern
Ann. Probab. 11 (3), 789-794, (August, 1983) DOI: 10.1214/aop/1176993523 Open Access
KEYWORDS: Measure-preserving transformations, ergodic theory, mapping of the unit interval, Markov chain, 15A51, 28A65, 60J10
Short Communications
R. L. Taylor, C. A. Calhoun
Ann. Probab. 11 (3), 795-797, (August, 1983) DOI: 10.1214/aop/1176993524 Open Access
KEYWORDS: weighted sums, random weights, laws of large numbers, $p$-smoothable, 60B12, 60B11
R. M. Blumenthal
Ann. Probab. 11 (3), 798-800, (August, 1983) DOI: 10.1214/aop/1176993525 Open Access
KEYWORDS: Brownian excursion, Bessel process, infinitesimal generator, Random time change, 60J65, 60B10
James Lynch
Ann. Probab. 11 (3), 801-802, (August, 1983) DOI: 10.1214/aop/1176993526 Open Access
KEYWORDS: strong laws, moving averages, large deviations, 60F15, 60F10
D. A. Darling
Ann. Probab. 11 (3), 803-806, (August, 1983) DOI: 10.1214/aop/1176993527 Open Access
KEYWORDS: Supremum of process, stationary Gaussian process, 60G17, 60G10, 60G15
B. McK. Johnson, T. Killeen
Ann. Probab. 11 (3), 807-808, (August, 1983) DOI: 10.1214/aop/1176993528 Open Access
KEYWORDS: Brownian bridge, $L_1$ norm, 60G15, 60E05
Norbert Herrndorf
Ann. Probab. 11 (3), 809-813, (August, 1983) DOI: 10.1214/aop/1176993529 Open Access
KEYWORDS: central limit theorem, strongly mixing strictly stationary sequences, 60F05, 60G10
P. Holgate
Ann. Probab. 11 (3), 814-816, (August, 1983) DOI: 10.1214/aop/1176993530 Open Access
KEYWORDS: Random power series, natural boundary, Blackwell's conjecture, 60H99, 30A12
Walter A. Rosenkrantz
Ann. Probab. 11 (3), 817-818, (August, 1983) DOI: 10.1214/aop/1176993531 Open Access
KEYWORDS: M/G/1 queue, busy period, Laplace transform, Martingales, 60K25, 60G44
G. Kallianpur, D. Ramachandran
Ann. Probab. 11 (3), 819-822, (August, 1983) DOI: 10.1214/aop/1176993532 Open Access
KEYWORDS: Splicing, finitely additive splicing, independence, 28A12, 28A35
George R. Terrell
Ann. Probab. 11 (3), 823-826, (August, 1983) DOI: 10.1214/aop/1176993533 Open Access
KEYWORDS: Rectangular distribution, uniform distribution, order statistics, Legendre polynomials, coefficient of correlation, 60E15, 62E10
Ferenc Moricz
Ann. Probab. 11 (3), 827-832, (August, 1983) DOI: 10.1214/aop/1176993534 Open Access
KEYWORDS: Orthogonal random variables, Cesaro means of sequences, Strong law of large numbers, 60F15, 60G46
Back Matter
Ann. Probab. 11 (3), (August, 1983) Open Access
No abstract available
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