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Stability Problems for Stochastic Models: Proceedings of the 11th International Seminar held in Sukhumi (Abkhazian Autonomous Republic) USSR, Sept. 25–Oct. 1, 1987
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Catalogue Information
Field name
Details
Dewey Class
519.2
Title
Stability Problems for Stochastic Models ([EBook]) : Proceedings of the 11th International Seminar held in Sukhumi (Abkhazian Autonomous Republic) USSR, Sept. 25–Oct. 1, 1987 / edited by Vladimir V. Kalashnikov, Vladimir M. Zolotarev.
Added Personal Name
Kalashnikov, Vladimir Vi͡acheslavovich
Zolotarev, Vladimir M.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1989.
Physical Details
XII, 384 pages : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1412
ISBN
9783540468639
Summary Note
Traditionally the Stability seminar, organized in Moscow but held in different locations, has dealt with a spectrum of topics centering around characterization problems and their stability, limit theorems, probabil- ity metrics and theoretical robustness. This volume likewise focusses on these main topics in a series of original and recent research articles.:
Contents note
The density function's asymptotic representation in the case of multidimensional strictly stable distributions -- Limiting behaviour of the sum of I.I.D. random variables and its terms of greatest moduli in the case of logarithmic type tall function -- On the adaptive estimation of change points -- Precise upper bounds for the functionals describing tumour treatment efficiency -- A multivariate analog of the Cramer theorem on components of the Gaussian distributions -- A refinement of Lukacs theorems -- On the connection of Renyi's theorem and Renewal theory -- On the products of a random number of random variables in connection with a problem from mathematical economics -- The asymptotic distributions of random sums -- Normal and degenerate convergences of random sums -- New duality theorems for Marginal problems with some applications in stochastics -- Stable random vectors in Hilbert space -- The mean's consistent estimation, in the case random processes, satisfying partial differential equations -- Limit theorems in the set up of sumnation of a random number of independent identically distributed random variables -- Some asymptotic properties of the stable laws -- A chi-square goodness-of-fit test for exponential distributions of the first order -- A conditional weak law of large numbers -- On the rate of convergence for the extreme value in the case of IFR-distributions -- On the rate of convergence in extreme value theory -- Some properties of stochastic processes with linear regression -- On characterization of generalized logistic and pareto distributions -- Limit theorems for positive definite probability densities -- On the estimate of the rate of convergence in the central limit theorem in Hilbert space -- Stability of decomposition in semigroups of functions representable by series in the Jacobi polynomials -- A regressional characterization of the poisson distribution -- Hitting times of single points for 1-dimensional generalized diffusion processes -- Pseudotrajectories and stability problems for stochastic dynamical systems.
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Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0084160
Links to Related Works
Subject References:
Mathematics
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Probabilities
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Probability theory and stochastic processes
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Stochastic systems
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Authors:
editor
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Kalashnikov, Vladimir Vi͡acheslavovich
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Kalashnikov, Vladimir Vi͡acheslavovich.
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Zolotarev, Vladimir M.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
519.2
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