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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Collectivité auteur: Seminar on stability problems for stochastic models :Suzdal, Russie
Autres auteurs: Kalašnikov, Vladimir Vâčeslavovič, 1942-2001 (Directeur de la publication), Zolotarev, Vladimir Mihajlovič, 1931-2019 (Directeur de la publication)
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 1546
Sujets:
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Stability problems for stochastic models, proceedings of the international seminar, held in Suzdal, Russia, Jan. 27-Feb. 2, 1991, V.V. Kalashnikov, V.M. Zolotarev (eds.), 1993, Berlin, Springer-Verlag, 1 volume (229 pages), Lecture notes in mathematics, 3-540-56744-5
• Stability Problems for Stochastic Models, Texte imprimé, 9783662181515
Table des matières:
  • 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.