Exponential Conway Maxwell Poisson distribution

A. Adzkiah, D. Lestari, L. Safitri

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The study of the lifetime of an organism, devices, etc., is very important in the field of health, biology, and industry. We need a distribution that can model the data with certain characteristics. The lifetime distribution with a decreasing hazard rate has been discussed in the new literature. In this research, a new distribution with a decreasing hazard rate is presented with three parameters that match real data that has no zero observation, namely the Exponential Conway Maxwell Poisson distribution (ECOMP). The ECOMP distribution can be used to model the minimum lifetime of an exponential random variable. In this research, we explain how to construct ECOMP distribution and discuss its properties. The parameter estimation is performed using the maximum likelihood method. The application of earthquake data shows that the ECOMP distribution is more suitable in modeling data than the Exponential Poisson (EP) distribution.

Original languageEnglish
Title of host publicationProceedings of the 6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020
EditorsTribidasari A. Ivandini, David G. Churchill, Youngil Lee, Yatimah Binti Alias, Chris Margules
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735441132
DOIs
Publication statusPublished - 23 Jul 2021
Event6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020 - Depok, Indonesia
Duration: 27 Oct 202028 Oct 2020

Publication series

NameAIP Conference Proceedings
Volume2374
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020
Country/TerritoryIndonesia
CityDepok
Period27/10/2028/10/20

Keywords

  • decreasing hazard rate
  • lifetime data
  • maximum likelihood method
  • Mixing distribution

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