Bounds for the Failure Rate in Heterogeneous Populations
نویسندگان
چکیده
We derive bounds for the mixture failure rate in the multiplicative (proportional hazards) model. We explicitly show that the corresponding proportionality in subpopulations does not result in proportionality for a whole population. We analyze the shape of the mixture failure rate in an environment with a stress change point and also discuss the effect of shocks which change a mixing distribution.
منابع مشابه
Shocks in homogeneous and heterogeneous populations
A system subject to a point process of shocks is considered. Shocks occur in accordance with a non-homogeneous Poisson process. Different criterions of system failures are discussed in a homogeneous case. Two natural settings are analyzed. Heterogeneity is modeled by an unobserved univariate random variable (frailty). It is shown that reliability (safety) analysis for a heterogeneous case can d...
متن کاملOptimizing the warranty period by cuckoo meta-heuristic algorithm in heterogeneous customers’ population
Warranty is now an integral part of each product. Since its length is directly related to the cost of production, it should be set in such a way that it would maximize revenue generation and customers’ satisfaction. Furthermore, based on the behavior of customers, it is assumed that increasing the warranty period to earn the trust of more customers leads to more sales until the market is sat...
متن کاملI-41: Genetic Causes of Premature Ovarian Failure (POF) and early Menopause
Premature ovarian failure (POF) is a heterogeneous disorder, defined as menopause under age 40 years. The prevalence is 1%; POF before age 30 years is much less common. Chromosomal causes have long been recognized - visible deletions of the X chromosome, 45,X/46,XX mosaicism, and autosomal rearrangements (balanced translocations). Toxins or iatrogenic causes (e.g., chemotherapeutic agents) are ...
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 کاملStochastic analysis of preventive maintenance in heterogeneous populations
Many different types of preventive maintenance policy have been defined in the literature and implemented in reliability practice. However, almost all models, procedures, and approaches deal only with the case when items come from homogeneous populations. In this paper, we analyze the effect of preventive maintenance on the reliability characteristics of items selected from heterogeneous popula...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007