Stability problems for stochastic models : proceedings of the international seminar, held in Suzdal, Russia, Jan. 27-Feb. 2, 1991
Author(s)
Bibliographic Information
Stability problems for stochastic models : proceedings of the international seminar, held in Suzdal, Russia, Jan. 27-Feb. 2, 1991
（Lecture notes in mathematics, 1546）
Springer-Verlag, c1993
- : gw
- : us
Available at / 87 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Etchujima library, Tokyo University of Marine Science and Technology自然
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: gwdc20:519.2/k1242070266707
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Note
Includes bibliographical references
Description and Table of Contents
Description
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
models, statistical inference, probability metrics, etc. The
contributions are original research articles developing new
ideas and methods of stability analysis.
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 - esseen 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.
by "Nielsen BookData"
