Stress-strength reliability estimation for type-1 pathway generated exponential distribution with applications to AIDS incubation time
Methodology
2023-03-10 v1 Statistics Theory
Statistics Theory
Abstract
The Type-1 Pathway Generated Exponential distribution (PGE-1) is introduced. We have considered the estimate of the stress-strength parameter when the stress and strength components are statistically independent and follow PGE-1 distributions with distinct parameters. The point estimate of the stress-strength reliability is obtained using maximum likelihood method. The interval estimates are obtained using asymptotic confidence intervals and the parametric bootstrap method. To verify the performance of the methods developed, an extensive Monte Carlo simulation study has been conducted. The application of the developed results is illustrated on AIDS blood transfusion data.
Cite
@article{arxiv.2303.05060,
title = {Stress-strength reliability estimation for type-1 pathway generated exponential distribution with applications to AIDS incubation time},
author = {Gladwin James V. and Thomas Xavier and Nicy Sebastian},
journal= {arXiv preprint arXiv:2303.05060},
year = {2023}
}