Stability Problems for Stochastic Models

Proceedings of the 8th International Seminar held in Uzhgorod, USSR, Sept. 23-29, 1984

456 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

On periodic distribution of waiting-time process.- Asymptotic behaviour of some random fields.- Normality of a multidimensional infinitely divisible distribution which coincides with a normal distribution in a cone.- Partial sufficiency of linear forms.- A refinement of Darmois-Skitovitch and Heyde theorems.- The rate of convergence of Erlang distribution to the degenerate one.- Metric estimates of the first occurence time in regenerative processes.- Stability of the lack-of-memory property in a finite number of points.- The central limit theorem and weak convergence of maxima of sums of independent random variables.- Compound metrics with fixed minimal ones.- On limit theorems for the number of Markov renewals.- Some characterization of bivariate distributions based on hazard rate properties.- Confidence intervals for the parameters of strongly stable laws.- Generalization of the Titchmarsh convolution theorem and the complex-valued measures uniquely determined by their restrictions to a half-line.- Limit theorems for extreme order statistics under nonlinear normalization.- A characterization of Gaussian distribution by the linearity of conditional moments.- Extreme functionals in the space of probability measures.- On the ratio of independent stable random variables.- On the Berry-Esseen bound for Student's statistic.- Some new results in a theorem due to Renyi.- Stability for continuous-time nonhomogeneous Markov chains.- Rate of convergence in limit theorems for the max-scheme.- On compound probabilistic metrics with given minimal metrics.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Angewandte Mathematik Stochastik
• ISBN: 9783540159858
• Sprache: Englisch
• Erscheinungsdatum: 01.10.1985
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: Vladimir M. Zolotarev, Vladimir V. Kalashnikov