Failure Time of Non Homogeneous Gamma Process
Christian Paroissin and
Ali Salami
Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 15, 3148-3161
Abstract:
We consider the non homogeneous gamma process as a degradation model. The hitting time of a deterministic or random level is studied here. We provide its distribution (both cdf and pdf) explicitly in the first case and in the second case when the threshold is exponentially or gamma distributed. The general case for a random threshold can be approximated by considering mixtures of Erlang distributions. Aging properties are also discussed in this article.
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:43:y:2014:i:15:p:3148-3161
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DOI: 10.1080/03610926.2012.694546
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