Transmuted Generalized Gompertz distribution with application

DOI

10.2991/jsta.2017.16.1.6How to use a DOI?

Keywords

Reliability functions; moment estimation; maximum likelihood estimation.

Abstract

This paper introduces the four parameter transmuted generalized Gompertz distribution which includes the transmuted Gompertz, transmuted generalized exponential, transmuted exponential, Gompertz, generalized exponential and exponential distributions as special cases and studies its statistical properties. Explicit expressions are derived for the quantile, moments, moment generating function and entropies. Maximum likelihood estimation is used to estimate the model parameters. Finally, two applications of the new distribution is illustrated using reliability data sets.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

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

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TY  - JOUR
AU  - Muhammad Shuaib Khan
AU  - Irene Lena Hudson
AU  - Robert King
PY  - 2017
DA  - 2017/03/01
TI  - Transmuted Generalized Gompertz distribution with application
JO  - Journal of Statistical Theory and Applications
SP  - 65
EP  - 80
VL  - 16
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2017.16.1.6
DO  - 10.2991/jsta.2017.16.1.6
ID  - Khan2017
ER  -