2025-02-23T07:11:13-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-166382%22&qt=morelikethis&rows=5
2025-02-23T07:11:13-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-166382%22&qt=morelikethis&rows=5
2025-02-23T07:11:13-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T07:11:13-05:00 DEBUG: Deserialized SOLR response
A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system

A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system

We study strong limit theorems for a bivariate function sequence of an nonhomogeneous Markov chain indexed by a generalized Bethe tree on a generalized random selection system by constructing a nonnegative martingale. As corollaries, we generalize results of Yang and Ye and obtain some limit theorem...

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Bibliographic Details
Main Author: Kangkang Wang
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166382
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2025-02-23T07:11:13-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&rows=40&rows=5&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-166382%22&qt=morelikethis
2025-02-23T07:11:13-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&rows=40&rows=5&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-166382%22&qt=morelikethis
2025-02-23T07:11:13-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T07:11:13-05:00 DEBUG: Deserialized SOLR response

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