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The semi-geometric process and some properties

Authors :
Shaomin Wu
Guanjun Wang
Source :
IMA Journal of Management Mathematics. 29:229-245
Publication Year :
2017
Publisher :
Oxford University Press (OUP), 2017.

Abstract

The geometric process has been widely applied in reliability engineering and other areas since its introduction. One of its assumptions is that the times between occurrences of events are independent. This assumption is rather restrictive and can limit its application in the real world. This paper extends the geometric process to a new process, which we call the semi-geometric process, by relaxing this assumption. Some probabilistic properties of the process are derived and parameter estimation is described. A numerical example, based on a real-world dataset, is used to illustrate the model and validate the estimation methodology.

Details

ISSN :
14716798 and 1471678X
Volume :
29
Database :
OpenAIRE
Journal :
IMA Journal of Management Mathematics
Accession number :
edsair.doi.dedup.....a72df0039d1776937262daf3daaa96a7