VOL. 8 · NO. 2 | April, 1980
Front Matter
Ann. Probab. 8 (2), (April, 1980) Open Access
No abstract available
Maury Bramson, David Griffeath
Ann. Probab. 8 (2), 183-213, (April, 1980) DOI: 10.1214/aop/1176994771 Open Access
KEYWORDS: cluster size, Interacting particle system, 60K35
Bruce M. Hill, David Lane, William Sudderth
Ann. Probab. 8 (2), 214-226, (April, 1980) DOI: 10.1214/aop/1176994772 Open Access
KEYWORDS: urn process, urn function, split process, Polya process, strategy, 60F15, 60G17, 60J05
Mark Brown
Ann. Probab. 8 (2), 227-240, (April, 1980) DOI: 10.1214/aop/1176994773 Open Access
KEYWORDS: renewal theory, IMRL and DFR distributions, monotonicity properties for stochastic processes, almost sure constructions, future discounted reward process, forward and backward recurrence times, bounds and inequalities for stochastic processes, 60K05, 60699
Holger Rootzen
Ann. Probab. 8 (2), 241-251, (April, 1980) DOI: 10.1214/aop/1176994774 Open Access
KEYWORDS: Approximations of stochastic integrals, stability in the sense of Renyi, fluctuations of approximation error, 60H05, 60B10, 60G45
Stuart Geman
Ann. Probab. 8 (2), 252-261, (April, 1980) DOI: 10.1214/aop/1176994775 Open Access
KEYWORDS: random matrices, maximum eigenvalue of symmetric random matrices, norm of random matrices, 60F15, 60C05
Marjorie G. Hahn, Michael J. Klass
Ann. Probab. 8 (2), 262-280, (April, 1980) DOI: 10.1214/aop/1176994776 Open Access
KEYWORDS: central limit theorem, truncated correlation, infinite variance, Matrix normalization, multivariate normal, random vectors, 60F05
T. J. Sweeting
Ann. Probab. 8 (2), 281-297, (April, 1980) DOI: 10.1214/aop/1176994777 Open Access
KEYWORDS: Multidimensional central limit theorem, speeds of convergence, asymptotic expansions, 60F05
Allan Gut
Ann. Probab. 8 (2), 298-313, (April, 1980) DOI: 10.1214/aop/1176994778 Open Access
KEYWORDS: i.i.d. random variables, multidimensional index, convergence rate, Law of the iterated logarithm, last exit time, the number of boundary crossings, 60F15, 60G50
R. J. Tomkins
Ann. Probab. 8 (2), 314-324, (April, 1980) DOI: 10.1214/aop/1176994779 Open Access
KEYWORDS: Almost sure convergence, limit theorems, Law of iterated logarithm, Independent random variables, almost sure stability, 60F15, 60G50
K. Bruce Erickson
Ann. Probab. 8 (2), 325-338, (April, 1980) DOI: 10.1214/aop/1176994780 Open Access
KEYWORDS: Brownian motion in a Banach space, infinitely many dimensions, Rate of escape, natural rate of escape, 60G15, 60G17, 60B05
Annie Millet, Louis Sucheston
Ann. Probab. 8 (2), 339-349, (April, 1980) DOI: 10.1214/aop/1176994781 Open Access
KEYWORDS: maximal inequality, Vitali condition, essential lim sup, stochastic lim sup, stopping times, 60G40, 60G45, 60G99
Michael J. Klass
Ann. Probab. 8 (2), 350-367, (April, 1980) DOI: 10.1214/aop/1176994782 Open Access
KEYWORDS: expectation, approximation of $n$-dimensional integrals, integral representation, Law of the iterated logarithm, Chebyshev's inequality, Markov's inequality, 60G50, 60E05, 26A86
Short Communications
James Reeds
Ann. Probab. 8 (2), 368-371, (April, 1980) DOI: 10.1214/aop/1176994783 Open Access
KEYWORDS: Laplace transform, total positivity, variation diminishing, 60G50, 44A10, 26A48
Martin H. Ellis
Ann. Probab. 8 (2), 372-376, (April, 1980) DOI: 10.1214/aop/1176994784 Open Access
KEYWORDS: Stationary random process, Markov process, Markov chain, $\overline {d}$-distance, partition distance, $\overline {d}$-distance equalling partition distance, joint process, 28A65, 60J10
D. R. Grey
Ann. Probab. 8 (2), 377-380, (April, 1980) DOI: 10.1214/aop/1176994785 Open Access
KEYWORDS: Galton-Watson branching process, supercritical almost sure convergence, martingale, Weak law of large numbers, 60J80
Alejandro de Acosta
Ann. Probab. 8 (2), 381-389, (April, 1980) DOI: 10.1214/aop/1176994786 Open Access
KEYWORDS: Banach space valued random series and triangular arrays, Exponential moments, integrability of Poisson measures, 60B05
Luisa Turrin Fernholz
Ann. Probab. 8 (2), 390-392, (April, 1980) DOI: 10.1214/aop/1176994787 Open Access
KEYWORDS: limit points, Law of the iterated logarithm, 60F15
H. Vishnu Hebbar
Ann. Probab. 8 (2), 393-399, (April, 1980) DOI: 10.1214/aop/1176994788 Open Access
KEYWORDS: Maxima, stationary Gaussian sequence, limit point, 60F15, 60G15, 60G10
Patrick L. Brockett, William N. Hudson
Ann. Probab. 8 (2), 400-403, (April, 1980) DOI: 10.1214/aop/1176994789 Open Access
KEYWORDS: Infinitely divisible measures, locally compact Abelian group, Absolute continuity, support of measures, equivalence with Haar measure, 60B15, 60E05, 43A25
Back Matter
Ann. Probab. 8 (2), (April, 1980) Open Access
No abstract available
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