Stability Problems for Stochastic Models Proceedings of the 8th Inte
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Stability Problems for Stochastic Models Proceedings of the 8th International Seminar held in Uzhgorod, USSR, Sept. 23-29, 1984
Edited by V.V. Kalashnikov and V. M. Zolotarev
Springer-Verlag Berlin Heidelberg New York Tokyo
Editors Vladimir V. Kalashnikov Institute for System Studies Prospekt 60 let Oktjabrja 9 117312 Moscow, USSR Vladimir M. Zolotarev Steklov Mathematical Institute, Academy of Sciences of the USSR Vavilov st. 42, 117333 Moscow, USSR
Mathematics Subject Classification (1980): 60B10, 60B99, 60E 10, 60E99, 60F05, 60K25, 60K99, 62E 10, 62F 10, 62F 35,62 H 12, 62P99 ISBN 3-540-15985-1 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-15985-1 Springer-Verlag New York Heidelberg Berlin Tokyo
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© by Springer-Verlag Berlin Heidelberg 1985 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
Con t e n t
s
Zolotarev V.M. Preface ••..••..••......•...•••••...••...••..•••.
V
Afanas'eva L.G. On periodic distribution of waiting-time process
"
..
Bulinskaya E.V., Molcanov S.A. Asymptotic behaviour of some random fields..............................................
21
Il'inskii A.I. Normality of a multidimensional infinitely divisible distribution which coincides with a normal
47
distribution in a cone Kagan A.M. Partial sUfficiency of linear forms ••••••...••••..••
60
Kagan A.M., Zinger A.A. A refinement of Darmois-Skitovitch and Heyde theorems •••••••••••••••...•.••..•••••.•••••••••••••.•
81
Kalashnikov V.V. The rate of convergence of Erlang distribution to the degenerate one .••••••••..•....•••••....
95
Kalashnikov V.V.,Vsekhsvyatskii S.Yu.Metric estimates of the first occurence time in regenerative processes ••••.••••••.• 102 Klebanov L.B., Rachev S.T. Stability of the lack-of-memory property in a finite number of points ••••••.••••..••••••... 131 Kruglov V.M. The central limit theorem and weak convergence of maxima of sums of independent random variables •••••••••• 144 Kuznezova-Sholpo I.A. Compound metrics with fixed minimal ones
180
Malinovsky V.K. On limit theorems for the number of Markov renewals •••••••••••••••••••••.••.••••••••••••••••.••••••... 190 Obretenov A. Some characterization of bivariate
distributions
based on hazard rate properties ..•••..••••••.....••••••••.. 223 Okoneshnikov Yu.D. Confidence intervals for the parameters of strongly stable laws ••••••••.••..•••••••.••••••••••••••. Ostrovskii I.V. Generalization of the Titchmarsh
convolution
theorem and the complex-valued measures uniquely determined
IV
by their restrictions to a half-line •••••••.••••••••••••
256
Pantcheva E.
