Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1148540 | Journal of Statistical Planning and Inference | 2013 | 11 Pages |
Abstract
We derive neat expressions for the probability generating functions of relevant waiting times associated with (k1,k2)(k1,k2) events on semi-Markov binary trials. These lead to evaluation of relevant probabilities associated with numbers of occurrence of such events on a string of a fixed length. Our methodology is general enough and provides a template for treating more general events than those of type (k1,k2)(k1,k2). Also, the same template is extendable to semi-Markov trials with more than two outcomes.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Valeri T. Stefanov, Raimondo Manca,