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Weak convergence of semi-Markov random evolutions in an averaging scheme (martingale approach)

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Publication:917174
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DOI10.1007/BF01056115zbMath0704.60090MaRDI QIDQ917174

Anatoliy Swishchuk

Publication date: 1989

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

weak convergencelaw of large numbersmartingale methodsemi-Markov random evolutions


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov renewal processes, semi-Markov processes (60K15)


Related Items (2)

Dual approximation of random evolutions in an averaging scheme ⋮ Nonlinear normalization of random evolution in the Levy approximation scheme



Cites Work

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  • A central limit problem in random evolutions
  • Limit theorems for stationary random evolutions
  • Semigroups of conditioned shifts and approximation of Markov processes
  • Stability of the solutions of an axisymmetric problem regarding the convection of a viscous fluid


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