Comparisons of Parallel Systems with Components Having Proportional Reversed Hazard Rates and Starting Devices
نویسندگان
چکیده
منابع مشابه
Stochastic and Dependence Comparisons Between Extreme Order Statistics in the Case of Proportional Reversed Hazard Model
Independent random variables $Y_{1},ldots ,Y_{n}$ belongs to the proportional reversed hazard rate (PRHR) model with proportionality parameters $lambda_1,...,lambda_n$, if $Y_{k}sim G^{lambda _{k}}(x)$, for $k=1,...,n$, where $G$ is an absolutely continuous distribution function. In this paper we compare the smallest order statistics, the sample ranges and th...
متن کاملStochastic Comparisons of Series and Parallel Systems with Heterogeneous Extended Generalized Exponential Components
In this paper, we discuss the usual stochastic‎, ‎likelihood ratio, ‎dispersive and convex transform order between two parallel systems with independent heterogeneous extended generalized exponential components. ‎We also establish the usual stochastic order between series systems from two independent heterogeneous extended generalized exponential samples. ‎Finally, ‎we f...
متن کاملMultivariate distributions with proportional reversed hazard marginals
Several univariate proportional reversed hazard models have been proposed in the literature. Recently, Kundu and Gupta (2010, Sankhya, Ser. B, vol. 72, 236 253.) proposed a class of bivariate models with proportional reversed hazard marginals. It is observed that the proposed bivariate proportional reversed hazard models have a singular component. In this paper we introduce the multivariate pro...
متن کاملOn Bivariate Reversed Hazard Rates
In this paper we discuss various definitions of bivariate reversed hazard rate and their properties. An exponential representation of bivariate distribution using reversed hazard rates is given and we also develop a new family of bivariate distributions using bivariate reversed hazard rate. Finally we give a local dependence measure using bivariate reversed hazard rates and study its properties...
متن کاملAgeing Orders of Series-Parallel and Parallel-Series Systems with Independent Subsystems Consisting of Dependent Components
In this paper, we consider series-parallel and parallel-series systems with independent subsystems consisting of dependent homogeneous components whose joint lifetimes are modeled by an Archimedean copula. Then, by considering two such systems with different numbers of components within each subsystem, we establish hazard rate and reversed hazard rate orderings between the two system lifetimes,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: 2227-7390
DOI: 10.3390/math9080856