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082 0 4 _a519.2
_223
245 1 0 _aStability Problems for Stochastic Models
_h[electronic resource] :
_bProceedings of the 11th International Seminar held in Sukhumi (Abkhazian Autonomous Republic) USSR, Sept. 25–Oct. 1, 1987 /
_cedited by Vladimir V. Kalashnikov, Vladimir M. Zolotarev.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1989.
300 _aXII, 384 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
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490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1412
505 0 _aThe 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.
520 _aTraditionally 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.
650 0 _aDistribution (Probability theory.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
700 1 _aKalashnikov, Vladimir V.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aZolotarev, Vladimir M.
_eeditor.
_4edt
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662205358
776 0 8 _iPrinted edition:
_z9783540519485
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1412
856 4 0 _uhttps://doi.org/10.1007/BFb0084160
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