Stability Problems for Stochastic Models: Proceedings of the 9th International Seminar Held in Varna, Bulgaria, May 13-19, 1985
Vladimir V. Kalashnikov, Vladimir Viacheslavovich Kalashnikov, Boian Ivan Penkov, Boyan Penkov, Vladimir M Zolotarev
Springer, Feb 23, 1987 - Mathematics - 223 pages
The subject of this book is a new direction in the field ofprobability theory and mathematical statistics which can becalled "stability theory": it deals with evaluating theeffects of perturbing initial probabilistic models andembraces quite varied subtopics: limit theorems, queueingmodels, statistical inference, probability metrics, etc. Thecontributions are original research articles developing newideas and methods of stability analysis.
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Kagan A M Zinger A A Contribution to the analytic
Korolev V Yu The accuracy of the normal approximation
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According Algebraic Analysis analytic Applications arbitrary assume assumption asymptotic Banach Spaces bounded characteristic function characterization complete condition Consequently consider constant continuous COROLLARY corresponding defined definition Denote depending deviation distance distribution function easy Edited equality equation estimation example exists exponential finite fixed formulate Gaussian given gives Hence holds ideal identically implies independent inequality integral introduce known lemma limit theorem Math Mathematics means measure Menger space method metric models non-negative norm normal Note obtain parameter positive present probability problem Proceedings PROOF proof of theorem properties proved random variables record REFERENCES relation REMARK respect result Russian satisfies Seminar sequence side stable statistical sufficiently sums Suppose symmetric Theory tion true uniform upper valid values vector Zolotarev