Title Asimptotiškai homogeninės Markovo grandinės /
Translation of Title Asymptotically homogeneous Markov chains.
Authors Skorniakov, Viktor
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Pages 63
Keywords [eng] Markov chains ; stationary distribution ; tail index
Abstract [eng] In the dissertation there is investigated a class of Markov chains defined by iterations of a function possessing a property of asymptotical homogeneity. Two problems are solved: 1) there are established rather general conditions under which the chain has unique stationary distribution; 2) for the chains evolving in a real line there are established conditions under which the stationary distribution of the chain is heavy-tailed.
Type Doctoral thesis
Language Lithuanian
Publication date 2010