A Modification of the Gompertz Distribution Based on the Class of Extended-Weibull Distributions

DOI

10.2991/jsta.d.201116.001How to use a DOI?

Keywords

Extended-Weibull distribution; Gompertz distribution; Quantile function; Regularity conditions

Abstract

This paper introduces a new four-parameter extension of the generalized Gompertz distributions. This distribution involves some well-known distributions such as extension of generalized exponential, generalized exponential, and generalized Gompertz distributions. In addition, it can have a decreasing, increasing, upside-down bathtub, and bathtub-shaped hazard rate function depending on its parameters. Some mathematical properties of this new distribution, such as moments, quantiles, hazard rate function, and reversible hazard rate function are obtained. In addition, the density function and the moments of the ordered statistics of this new distribution is provided. The parameters of model are estimated using the maximum likelihood method. Also, a real data set was used to illustrate the validity of the proposed distribution.

Copyright

© 2020 The Authors. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Mohammad Reza Kazemi
AU  - Ali Akbar Jafari
AU  - Saeid Tahmasebi
PY  - 2020
DA  - 2020/12/01
TI  - A Modification of the Gompertz Distribution Based on the Class of Extended-Weibull Distributions
JO  - Journal of Statistical Theory and Applications
SP  - 472
EP  - 480
VL  - 19
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.201116.001
DO  - 10.2991/jsta.d.201116.001
ID  - Kazemi2020
ER  -