Stability Problems for Stochastic Models Proceedings of the International Seminar held in Suzdal, Russia, Jan.27-Feb. 2,1991

The subject of this book is a new direction in the field of probability theory and mathematical statistics which can be called "stability theory": it deals with evaluating the effects of perturbing initial probabilistic models and embraces quite varied subtopics: limit theorems, queueing m...

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Bibliographic Details
Other Authors: Kalashnikov, Vladimir V. (Editor), Zolotarev, Vladimir M. (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1993, 1993
Edition:1st ed. 1993
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Characterizations of the pareto distribution based on order statistics
  • Some characterizations of the exponential distribution based on the service time properties of an unreliable server
  • On the distribution of the Wilcoxon Rank-Sum statistic
  • On different stability-concepts for probabilities on groups
  • Functional limit theorems for random walks on one-dimensional hypergroups
  • Stabilities and instabilities in population dynamics
  • Some properties of random variables which are stable with respect to the random sample size
  • Two-side estimates of geometric convolutions
  • A stochastic model of radiation carcinogenesis
  • Limit theorems for random sums of independent random variables
  • On regularly varying multivalued functions
  • A comparison theorem for queueing system with non-identical channels
  • On an intrinsic bias measure
  • Characterization of exponential distributions by conditional moments
  • The functional limit theorem on nilpotent lie group
  • On wide-sense regeneration
  • Some properties of the median of the stable distributions close to the symmetric ones
  • Regeneration, stationarity and simulation
  • Multivariate infinitely divisible distributions with the gaussian second order conditional structure
  • On the convergence of random symmetric polynomials
  • Stability of characterization by record properties
  • A berry - esséen bound for multivariate l-estimates with explicit dependence on dimension
  • On the ergodicity condition of random walks with a periodic control sequence
  • Some limit problem for dependent random variables