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arXiv:1205.4441 [math.PR]AbstractReferencesReviewsResources

Some Characterizations Of Mixed Renewal Processes

D. P. Lyberopoulos, N. D. Macheras

Published 2012-05-20, updated 2014-06-29Version 4

Some characterizations of mixed renewal processes in terms of exchangeability and of different types of disintegrations are given. As a consequence, an existence result for mixed renewal processes, providing also a new construction for them, is obtained. As an application, some concrete examples of constructing such processes are presented and the corresponding disintegrating measures are explicitly computed.

Comments: corrected version, important revisions in Section 5 ---- Key Words: mixed renewal process, disintegration, product regular conditional probability, subfield regular conditional probability, exchangeability
Categories: math.PR
Subjects: 60G55, 60G09, 28A50, 60A10, 60K05, 91B30
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