<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">PENGYAN ZHANG</style></author><author><style face="normal" font="default" size="100%">WEIGUO YANG</style></author><author><style face="normal" font="default" size="100%">BEI WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE STRONG LAW OF LARGE NUMBERS FOR MULTIVARIATE FUNCTIONS OF CONTINUOUS-STATE NONHOMOGENEOUS MARKOV CHAINS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">60F15</style></keyword><keyword><style  face="normal" font="default" size="100%">60J05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">03/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we are going to study the strong law of large numbers for multivariate functions of continuous-state nonhomogeneous Markov chains. Firstly, we give a primary proof of equivalence of the ergodicities for continuous-state homogeneous Markov chains. Then, we establish some lemmas which are the basis of the main result. Finally, we study the strong law of large numbers for functions of N + 1 variables of continuous-state nonhomogeneous Markov chains.&lt;/p&gt;
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