Stability problems for stochastic models : proceedings of the 9th International Seminar held in Varna, Bulgaria, May 13-19, 1985

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Stability problems for stochastic models : proceedings of the 9th International Seminar held in Varna, Bulgaria, May 13-19, 1985

edited by V.V. Kalashnikov, B. Penkov and V.M. Zolotarev

（Lecture notes in mathematics, 1233）

Springer-Verlag, c1987

  • : gw
  • : us

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"The International Seminar on Mathematical Modelling and Stability of Stochastic Models was held in Varna during the week of 13 to 19 May 1985. It was organized by the Steklov-Institute of the Soviet Academy of Sciences" -- Pref

Includes bibliographies

Description and Table of Contents

Table of Contents

The estimation of the rate of convergence in the integral limit theorem in the Euclidean motion group.- Contribution to the analytic theory of linear forms of independent random variables.- ?p-strictly stable laws and estimation of their parameters.- The method of metric distances in the problem of estimation of the deviation from the exponential distribution.- The accuracy of the normal approximation to the distribution of the sum of a random number of independent random variables.- Mixtures of probability distributions.- Some limit theorems for summability methods of I.I.D.Random variables.- Properties of mode of spectral positive stable distributions.- Two characterizations using records.- On orthogonal-series estimators for probability distributions.- Estimates of the deviation between the exponential and new classes of bivariate distributions.- On the difference between distributions of sums and maxima.- On the inequalities of Berry-Esseen and V.M. Zolotarev.- Some fixed point theorems probabilistic metric spaces.- The asymptotic bias in a deviation of a location model.- Cramer's decomposition theorem within the continuation of distribution functions.- An asymptotically most Bias-Robust invariant estimator of location.- Characterizing the distributions of the random vectors X 1, X 2, X 3 by the distribution of the statistic (X 1-X 3, X 2-X 3).- On stability estimates of Cramer's theorem.- On the estimation of moments of regenerative cycles in a general closed central-server queueing network.- On F-processes and their applications.- On some properties of ideal metrics of order ?.- On ?-independence of sample mean and sample variance.

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