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:: Volume 9, Issue 2 (4-2019) ::
2019, 9(2): 17-28 Back to browse issues page
A new four-parameter distribution: properties and applications
S. Shokri, A. Abdollahi Nanvapisheh
Department of statistics, University of Razi
Abstract:   (2256 Views)
In this paper a new four-parameter lifetime distribution named “the Exponentiated gompertz-poisson (E-GP) distribution” has been suggested that it has a decreasing, increasing, bathtub-shaped and inverse bathtub-shape for modeling lifetime data. The Exponentiated gompertz-poisson has applications in survival, reliability modeling, lifetime and queuing problems. Firstly, the mathematical and statistical characteristics of the proposed distribution are presented, and then the applications of the new distribution are studied using the real data set. Its first moment about origin and moments about mean have been obtained and expressions for skewness, kurtosis have been given. Various mathematical and statistical properties of the proposed distribution have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood. In the end, two applications of the new distribution have been discussed with two real lifetime data sets. The results also confirmed the suitability of the presented models for real data collection.
Keywords: Gompertz-Poisson Distribution (GP), Exponentiated Gompertz-Poisson Distribution (EGP), Moments, Lifetime Data, Parameter Estimation and Goodness of Fit.
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Type of Study: Applicable | Subject: Special
Received: 2018/11/25 | Accepted: 2019/02/26 | Published: 2019/04/30
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Shokri S, Abdollahi Nanvapisheh A. A new four-parameter distribution: properties and applications. International Journal of Applied Operational Research. 2019; 9 (2) :17-28
URL: http://ijorlu.liau.ac.ir/article-1-584-en.html

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Volume 9, Issue 2 (4-2019) Back to browse issues page
ژورنال بین المللی پژوهش عملیاتی International Journal of Applied Operational Research - An Open Access Journal
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