VOL. 9 · NO. 3 | June, 1981
Front Matter
Ann. Probab. 9 (3), (June, 1981) Open Access
No abstract available
The 1979 Wald Memorial Lectures
Frank Spitzer
Ann. Probab. 9 (3), 349-364, (June, 1981) DOI: 10.1214/aop/1176994410 Open Access
KEYWORDS: interacting particle systems, equilibrium states, coupled random walks, Dual processes, 60K35
J. Michael Steele
Ann. Probab. 9 (3), 365-376, (June, 1981) DOI: 10.1214/aop/1176994411 Open Access
KEYWORDS: subadditive process, Traveling salesman problem, Steiner tree, Euclidean functional, 60D05, 60F15, 60C05, 60G55
J. Kuelbs
Ann. Probab. 9 (3), 377-394, (June, 1981) DOI: 10.1214/aop/1176994412 Open Access
KEYWORDS: Law of the iterated logarithm, cluster set, central limit theorem, Rates of escape, 60B05, 60B10, 60F10, 28A40
Peter Hall, C. C. Heyde
Ann. Probab. 9 (3), 395-404, (June, 1981) DOI: 10.1214/aop/1176994413 Open Access
KEYWORDS: G0F05, martingale central limit theorem, mixtures of normal distributions, nonuniform bound, rate of convergence, uniform bound, 60G42
John Elton
Ann. Probab. 9 (3), 405-412, (June, 1981) DOI: 10.1214/aop/1176994414 Open Access
KEYWORDS: martingale, Law of Large Numbers, maximal function, Almost sure convergence, 60F15, 60G45
Michael J. Klass
Ann. Probab. 9 (3), 413-428, (June, 1981) DOI: 10.1214/aop/1176994415 Open Access
KEYWORDS: Sums of independent random variables, expectations, truncated mean, truncated expectation, truncated second moment, tail $\Phi$-moment, $K$-function, approximation of expectations, approximation of integrals, 60G50, 60E15, 60J15
Inge S. Helland
Ann. Probab. 9 (3), 429-452, (June, 1981) DOI: 10.1214/aop/1176994416 Open Access
KEYWORDS: Weak convergence to diffusion process, Random time change, continuous mapping theorem, minimal conditions for convergence, 60F05, 60J60, 60B10
G. K. Eagleson
Ann. Probab. 9 (3), 453-459, (June, 1981) DOI: 10.1214/aop/1176994417 Open Access
KEYWORDS: Absolute continuity, Gaussian processes, contiguity, 60G30, 62F03
Andrew Rosalsky, Henry Teicher
Ann. Probab. 9 (3), 460-467, (June, 1981) DOI: 10.1214/aop/1176994418 Open Access
KEYWORDS: Law of the iterated logarithm, Weak law of large numbers, row sums of independent infinitesimal random variables, weighted i.i.d. random variables, 60F05, 60F15
Paul Embrechts, Charles M. Goldie
Ann. Probab. 9 (3), 468-481, (June, 1981) DOI: 10.1214/aop/1176994419 Open Access
KEYWORDS: Generalised gamma convolutions, Infinite divisibility, Levy measures, rapid variation, regular variation, subexponentiality, tails of probability distributions, 60E07
William N. Hudson, J. David Mason
Ann. Probab. 9 (3), 482-489, (June, 1981) DOI: 10.1214/aop/1176994420 Open Access
KEYWORDS: Operator-stable distributions, multivariate stable laws, central limit theorem, 60E05
Martin I. Goldstein, Fred M. Hoppe
Ann. Probab. 9 (3), 490-497, (June, 1981) DOI: 10.1214/aop/1176994421 Open Access
KEYWORDS: Critical age-dependent branching process, regular variation, conditional limit law, lifetime distribution, 60K99, 60J80
Short Communications
Paul D. Feigin, Ury Passy
Ann. Probab. 9 (3), 498-503, (June, 1981) DOI: 10.1214/aop/1176994422 Open Access
KEYWORDS: Simple branching process, extinction probability, infinite geometric program, geometric duality, Kullback directed divergence, $\alpha$-entropy, branching measure, 60J80
M. E. Becker
Ann. Probab. 9 (3), 504-509, (June, 1981) DOI: 10.1214/aop/1176994423 Open Access
KEYWORDS: Wiener's ergodic theorem, Measure-preserving transformations, invariant, 47A35, 28A65
M. Shenker
Ann. Probab. 9 (3), 510-512, (June, 1981) DOI: 10.1214/aop/1176994424 Open Access
KEYWORDS: 60-02, Gaussian stationary sequence, random polynomials, real roots, asymptotic behavior, correlation function, 60G15
D. L. Hanson, Ralph P. Russo
Ann. Probab. 9 (3), 513-519, (June, 1981) DOI: 10.1214/aop/1176994425 Open Access
KEYWORDS: Law of Large Numbers, Strong law of large numbers, 60F15, 60F10
Henry Berbee
Ann. Probab. 9 (3), 520-528, (June, 1981) DOI: 10.1214/aop/1176994426 Open Access
KEYWORDS: Hitting probabilities of single points, Levy measure, overshot, stopping time, 60K99, 90D13, 60J75
T. F. Lin
Ann. Probab. 9 (3), 529-532, (June, 1981) DOI: 10.1214/aop/1176994427 Open Access
KEYWORDS: Homogeneous process, Independent increments, Wiener process, Poisson random measure, Stochastic integral equation, 60J30, 60H05, 60H20
Herman Chernoff
Ann. Probab. 9 (3), 533-535, (June, 1981) DOI: 10.1214/aop/1176994428 Open Access
KEYWORDS: inequality, normal distribution, Hermite polynomials, isoperimetric problem, 60E05, 26A84
Back Matter
Ann. Probab. 9 (3), (June, 1981) Open Access
No abstract available
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