Abstract: | This paper deals with the triangular array of random variables where every sequence is connected into a stationary Markov
chain. For the uniformly strongly mixing chain we find conditions under which the distributions of the sum converge to the
Poisson law. A more general case of theL
p-regular Markov chain is also considered.
Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania. Translated from Lietuvos Matematikos Rinkinys,
Vol. 35, No. 3, pp. 297–307, July–September, 1995.
Translated by R. Lapinskas |