Stability Problems for Stochastic Models: Proceedings of the 8th International Seminar held in Uzhgorod, USSR, Sept. 23–29, 1984

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Edition: 1

Series: Lecture Notes in Mathematics 1155

ISBN: 9780387159850, 0-387-15985-1

Size: 4 MB (3716673 bytes)

Pages: 448/461

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L. G. Afanas’eva (auth.), Vladimir V. Kalashnikov, Vladimir M. Zolotarev (eds.)9780387159850, 0-387-15985-1


Table of contents :
On periodic distribution of waiting-time process….Pages 1-20
Asymptotic behaviour of some random fields….Pages 21-46
Normality of a multidimensional infinitely divisible distribution which coincides with a normal distribution in a cone….Pages 47-59
Partial sufficiency of linear forms….Pages 60-80
A refinement of Darmois-Skitovitch and Heyde theorems….Pages 81-94
The rate of convergence of Erlang distribution to the degenerate one….Pages 95-101
Metric estimates of the first occurence time in regenerative processes….Pages 102-130
Stability of the lack-of-memory property in a finite number of points….Pages 131-143
The central limit theorem and weak convergence of maxima of sums of independent random variables….Pages 144-179
Compound metrics with fixed minimal ones….Pages 180-189
On limit theorems for the number of Markov renewals….Pages 190-222
Some characterization of bivariate distributions based on hazard rate properties….Pages 223-241
Confidence intervals for the parameters of strongly stable laws….Pages 242-255
Generalization of the Titchmarsh convolution theorem and the complex-valued measures uniquely determined by their restrictions to a half-line….Pages 256-283
Limit theorems for extreme order statistics under nonlinear normalization….Pages 284-309
A characterization of Gaussian distribution by the linearity of conditional moments….Pages 310-319
Extreme functionals in the space of probability measures….Pages 320-348
On the ratio of independent stable random variables….Pages 349-354
On the Berry-Esseen bound for Student’s statistic….Pages 355-390
Some new results in a theorem due to Renyi….Pages 391-400
Stability for continuous-time nonhomogeneous Markov chains….Pages 401-414
Rate of convergence in limit theorems for the max-scheme….Pages 415-442
On compound probabilistic metrics with given minimal metrics….Pages 443-447

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