Title : ( Stress-Strength and Ageing Intensity Analysis via a New Bivariate Negative Gompertz-Makeham Model )
Authors: Hossein Ali Mohtashami Borzadaran , Hadi Jabbari Nooghabi , Mohammad Amini , Ali Dolati ,
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Abstract
In Demography and modelling mortality (or failure) data the univariate Makeham-Gompertz is well-known for its extension of exponential distribution. Here, a bivariate class of Gompertz--Makeham distribution is constructed based on random number of extremal events. Some reliability properties such as ageing intensity, stress-strength based on competing risks are given. Also dependence properties such as dependence structure, association measures and tail dependence measures are obtained. A simulation study and a performance analysis is given based on estimators such as MLE, Tau-inversion and Rho-inversion.
Keywords
, Bivariate Exponential Distribution, Demography, Survival Function, Hazard Function.
@article{paperid:1085962,
author = {Mohtashami Borzadaran, Hossein Ali and Jabbari Nooghabi, Hadi and Amini, Mohammad and Ali Dolati},
title = {Stress-Strength and Ageing Intensity Analysis via a New Bivariate Negative Gompertz-Makeham Model},
journal = {Journal of the Iranian Statistical Society},
year = {2021},
volume = {20},
number = {1},
month = {June},
issn = {1726-4057},
pages = {219--246},
numpages = {27},
keywords = {Bivariate Exponential Distribution; Demography; Survival Function; Hazard Function.},
}
%0 Journal Article
%T Stress-Strength and Ageing Intensity Analysis via a New Bivariate Negative Gompertz-Makeham Model
%A Mohtashami Borzadaran, Hossein Ali
%A Jabbari Nooghabi, Hadi
%A Amini, Mohammad
%A Ali Dolati
%J Journal of the Iranian Statistical Society
%@ 1726-4057
%D 2021
