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Record Nr. |
UNISA996466603303316 |
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Titolo |
Stability problems for stochastic models : proceedings of the international seminar, held in Suzdal, Russia, Jan. 27-Feb. 2, 1991 / / edited by V.V. Kalashnikov, V.M. Zolotarev |
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Pubbl/distr/stampa |
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Berlin, Germany ; ; New York, New York : , : Springer, , [1993] |
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©1993 |
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ISBN |
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Edizione |
[1st ed. 1993.] |
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Descrizione fisica |
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1 online resource (VIII, 236 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1546 |
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Classificazione |
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Disciplina |
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Soggetti |
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Stochastic systems |
Stability |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 |
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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. |
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Sommario/riassunto |
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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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