Abstract
We prove a limit theorem on the approximation of point mixing processes subject to rarefaction by general renewal processes. This theorem contains a weaker condition on the mixing coefficient than the known conditions.
Similar content being viewed by others
References
V. A. Gasanenko, “Processes subject to rarefaction,” Ukr. Mat. Zh., 35, No. 1, 27–30 (1983).
P. Billingsley, Convergence of Probability Measures, Wiley, New York (1968).
A. A. Borovkov, “Convergence of measures and random processes,” Usp. Mat. Nauk, 31, No. 2, 3–68 (1976).
V. V. Anisimov, Random Processes with Discrete Component. Limit Theorems [in Russian], Kiev, Vyshcha Shkola (1988).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 4, pp. 471–475, April, 1998.
Rights and permissions
About this article
Cite this article
Gasanenko, V.O. A limit theorem for mixing processes subject to rarefaction. I. Ukr Math J 50, 533–538 (1998). https://doi.org/10.1007/BF02487385
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02487385