APPLICATION OF GOMPERTZ-POISSON DISTRIBUTION IN LIFETIME THEORY

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YAGHOUBZADEH SHAHRESTANI SHAHRAM

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Journal: MATHEMATICAL RESEARCHES Year:2017 | Volume:3 | Issue:2 Page(s): 155-164

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Title

APPLICATION OF GOMPERTZ-POISSON DISTRIBUTION IN LIFETIME THEORY

Author(s)

YAGHOUBZADEH SHAHRESTANI SHAHRAM | Issue Writer Certificate

Keywords

GOMPERTZ DISTRIBUTIONQ1

POSSION DISTRIBUTIONQ1

GOMPERTZ-POSSION DISTRIBUTIONQ1

MAXIMUM LIKLIHOOD ESTIMATIONQ2

Abstract

Gompertz-Poisson distribution is a three-parameter lifetime distribution with increasing, decreasing, increasing-decreasing and unimodal shape failure rate function and a composition of Gompertz and Poisson distributions cut at zero point that in this paper estimated the parameters of the distribution by maximum likelihood method and in order to confirm the calculated estimates, based on random sample with volumes of 100, 200, 300, 400 and 500 of Gompertz-Poisson distribution simulation study was conducted. Also with the help of two real data sets and comparing Gompertz-Poisson distribution with several other distributions of lifetime we show this distribution is a good model for data fitness related to lifetime.

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APA: Copy

YAGHOUBZADEH SHAHRESTANI, SHAHRAM. (2017). APPLICATION OF GOMPERTZ-POISSON DISTRIBUTION IN LIFETIME THEORY. MATHEMATICAL RESEARCHES, 3(2 ), 155-164. SID. https://sid.ir/paper/260778/en

Vancouver: Copy

YAGHOUBZADEH SHAHRESTANI SHAHRAM. APPLICATION OF GOMPERTZ-POISSON DISTRIBUTION IN LIFETIME THEORY. MATHEMATICAL RESEARCHES[Internet]. 2017;3(2 ):155-164. Available from: https://sid.ir/paper/260778/en

IEEE: Copy

SHAHRAM YAGHOUBZADEH SHAHRESTANI, “APPLICATION OF GOMPERTZ-POISSON DISTRIBUTION IN LIFETIME THEORY,” MATHEMATICAL RESEARCHES, vol. 3, no. 2 , pp. 155–164, 2017, [Online]. Available: https://sid.ir/paper/260778/en

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