English

Some Characterizations Of Mixed Renewal Processes

Probability 2014-07-01 v4

Abstract

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.

Keywords

Cite

@article{arxiv.1205.4441,
  title  = {Some Characterizations Of Mixed Renewal Processes},
  author = {D. P. Lyberopoulos and N. D. Macheras},
  journal= {arXiv preprint arXiv:1205.4441},
  year   = {2014}
}

Comments

corrected version, important revisions in Section 5 ---- Key Words: mixed renewal process, disintegration, product regular conditional probability, subfield regular conditional probability, exchangeability

R2 v1 2026-06-21T21:06:54.016Z