Artikel

A study on exponentiated Gompertz distribution under Bayesian discipline using informative priors

The exponentiated Gompertz (EGZ) distribution has been recently used in almost all areas of human endeavours, starting from modelling lifetime data to cancer treatment. Various applications and properties of the EGZ distribution are provided by Anis and De (2020). This paper explores the important properties of the EGZ distribution under Bayesian discipline using two informative priors: the Gamma Prior (GP) and the Inverse Levy Prior (ILP). This is done in the framework of five selected loss functions. The findings show that the two best loss functions are the Weighted Balance Loss Function (WBLF) and the Quadratic Loss Function (QLF). The usefulness of the model is illustrated by the use of real life data in relation to simulated data. The empirical results of the comparison are presented through a graphical illustration of the posterior distributions.

Language
Englisch

Bibliographic citation
Journal: Statistics in Transition New Series ; ISSN: 2450-0291 ; Volume: 22 ; Year: 2021 ; Issue: 4 ; Pages: 101-119 ; New York: Exeley

Subject
exponentiated Gompertz distribution
loss functions
informative priors
Bayes estimators
posterior risks

Event
Geistige Schöpfung
(who)
Aslam, Muhammad
Afzaal, Mehreen
Bhatti, Muhammad Ishaq
Event
Veröffentlichung
(who)
Exeley
(where)
New York
(when)
2021

DOI
doi:10.21307/stattrans-2021-040
Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Aslam, Muhammad
  • Afzaal, Mehreen
  • Bhatti, Muhammad Ishaq
  • Exeley

Time of origin

  • 2021

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