VOL. 1 · NO. 4 | August, 1973
Front Matter
Ann. Probab. 1 (4), (August, 1973) Open Access
No abstract available
N. C. Jain, S. J. Taylor
Ann. Probab. 1 (4), 527-549, (August, 1973) DOI: 10.1214/aop/1176996884 Open Access
KEYWORDS: Brownian motion, local asymptotic laws, Law of the iterated logarithm, two-sided rate of growth, two-sided rate of escape, first passage time process, absolute maximum process, upper and lower classes, Integral test, 60J65, 60G17
R. K. Getoor, M. J. Sharpe
Ann. Probab. 1 (4), 550-569, (August, 1973) DOI: 10.1214/aop/1176996885 Open Access
KEYWORDS: Standard Markov process, additive functional, balayage, Local time, last exit time, entrance law, projective set, 60G40, 60J55, 60J45
Krishna B. Athreya, Thomas G. Kurtz
Ann. Probab. 1 (4), 570-579, (August, 1973) DOI: 10.1214/aop/1176996886 Open Access
KEYWORDS: 6060, 6069, Markov process, stationary independent increments, Dynkin's identity, stopping time, infinitesimal generator semigroup, Martingales
Hans Follmer
Ann. Probab. 1 (4), 580-589, (August, 1973) DOI: 10.1214/aop/1176996887 Open Access
KEYWORDS: Semimartingales (quasi-martingales $F$-processes) as signed measures, Rao decomposition, Doob-Meyer decomposition, Ito-Watanabe factorization, 60G45
Julius R. Blum, Pramod K. Pathak
Ann. Probab. 1 (4), 590-602, (August, 1973) DOI: 10.1214/aop/1176996888 Open Access
KEYWORDS: Measure-invariant sets, harmonic analysis, completeness, Fourier series, translation parameter, 60B05, 60B15, 62A05, 43A05
Luis G. Gorostiza
Ann. Probab. 1 (4), 603-612, (August, 1973) DOI: 10.1214/aop/1176996889 Open Access
KEYWORDS: Random motions of Euclidean space, central limit theorem, Haar measure, normal distribution, 60F05, 60K99
P. W. Millar
Ann. Probab. 1 (4), 613-626, (August, 1973) DOI: 10.1214/aop/1176996890 Open Access
KEYWORDS: Markov process, stationary independent increments, isotropic process, radial process, $\lambda$-capacity, hitting probability, regular point, potential kernel, exact Hausdorff measure function, 60J30, 60J25, 60J40, 60J45
J. D. Esary, A. W. Marshall
Ann. Probab. 1 (4), 627-649, (August, 1973) DOI: 10.1214/aop/1176996891 Open Access
KEYWORDS: shock models, wear, Poisson process, total positivity, reliability, life distributions, 60K10
Sidney I. Resnick
Ann. Probab. 1 (4), 650-662, (August, 1973) DOI: 10.1214/aop/1176996892 Open Access
KEYWORDS: Record values, Maxima, Extreme values, regular variation, limiting distributions, Relative stability, 60F05
J. Chover, P. Ney, S. Wainger
Ann. Probab. 1 (4), 663-673, (August, 1973) DOI: 10.1214/aop/1176996893 Open Access
KEYWORDS: Age-dependent (non-Markovian) branching processes, conditioned limit laws, sub-exponential distributions, Yaglom theorem, 60G99, 60J80, 60K05
Edward C. Posner, Eugene R. Rodemich
Ann. Probab. 1 (4), 674-689, (August, 1973) DOI: 10.1214/aop/1176996894 Open Access
KEYWORDS: Probability-stochastic processes, general theory (6040), Information and Communication, Circuits, Automata, Information Theory (9420), Epsilon entropy, continous processes, modulus of continuity, partitions, covariance conditions, Wiener process
Charles R. Baker
Ann. Probab. 1 (4), 690-698, (August, 1973) DOI: 10.1214/aop/1176996895 Open Access
KEYWORDS: Measures on Hilbert space, Absolute continuity, Gaussian measures
Short Communications
David F. Fraser
Ann. Probab. 1 (4), 699-701, (August, 1973) DOI: 10.1214/aop/1176996896 Open Access
KEYWORDS: Random walk, Brownian motion, Levy distance, Skorokhod representation, rate of convergence
Henry Teicher
Ann. Probab. 1 (4), 702-704, (August, 1973) DOI: 10.1214/aop/1176996897 Open Access
KEYWORDS: first passage times, Invariance principles, reflection, Maximum, stable distribution, stopping times, positive normal distribution, 60F05, 60G40, 60G50
Ramesh M. Korwar, Myles Hollander
Ann. Probab. 1 (4), 705-711, (August, 1973) DOI: 10.1214/aop/1176996898 Open Access
KEYWORDS: Dirichlet process, consistent estimation, Strong law of large numbers, distribution theory, 60K99, 62G05
Josef Stepan
Ann. Probab. 1 (4), 712-715, (August, 1973) DOI: 10.1214/aop/1176996899 Open Access
KEYWORDS: Probability limit identification function, convergence in probability, Continuum hypothesis, 28A20, 28A35, 60F99
A. Kumar
Ann. Probab. 1 (4), 716-718, (August, 1973) DOI: 10.1214/aop/1176996900 Open Access
KEYWORDS: Infinitely divisible probability measure, stable probability measure, self-decomposible probability measure, compact, convegence types theorem, weak convergence, 60B05, 60B10
Back Matter
Ann. Probab. 1 (4), (August, 1973) Open Access
No abstract available
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