Stability Problems for Stochastic Models (eBook, PDF)

Proceedings of the International Seminar held in Suzdal, Russia, Jan.27-Feb. 2,1991
Redaktion: Kalashnikov, Vladimir V.; Zolotarev, Vladimir M.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 236
• Erscheinungstermin: 15. November 2006
• Englisch
• ISBN-13: 9783540476450
• Artikelnr.: 53096343

Inhaltsangabe

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.