Authors | Mohammad Khorashadizadeh |
---|---|
Conference Title | هفتمین سمینار تخصصی نظریه قابلیت اعتماد و کاربردهای آن |
Holding Date of Conference | 2021-05-19 |
Event Place | بیرجند |
Page number | 0-0 |
Presentation | SPEECH |
Conference Level | Internal Conferences |
Abstract
In stress-strength models, consider a system which has $k$ independent strength components and each component is constructed by a pair of dependent elements. These elements $(X_1, Y_1), (X_2, Y_2), \ldots, (X_k, Y_k)$ follow a discrete bivariate proportional hazard rate family and each element is exposed to a common random stress $T$ which follows a discrete univariate proportional hazard rate family. The system is regarded as operating only if at least $s$ out of $k$ ($1 \leq s \leq k$) strength variables exceed the random stress. In this paper, based on a general form of discrete lifetime distribution in proportional hazard rate models, the estimation of multicomponent stress-strength reliability parameter is studied. Finally, as an example the model have studied in a new bivariate Gemometric distribution.
tags: Reliability, Stress-Strength model, Telescopic representation, Maximum likelihood estimator (MLE), Method of Proportion (MP), Discrete proportional hazard rate model (DPHM)