Stochastic Order Relations Among Parallel Systems from Weibull Distributions
نویسندگان
چکیده
Let Xλ1 , Xλ2 , . . . , Xλn be independent Weibull random variables with Xλi ∼ W (α,λi) where λi > 0, for i = 1, . . . , n. Let X n:n denote the lifetime of the parallel system formed from Xλ1 , Xλ2 , . . . , Xλn . We investigate the effect of the changes in the scale parameters (λ1, . . . , λn) on the magnitude of X λ n:n according to reverse hazard rate and likelihood ratio orderings.
منابع مشابه
Recurrence Relations for Moment Generating Functions of Generalized Order Statistics Based on Doubly Truncated Class of Distributions
In this paper, we derived recurrence relations for joint moment generating functions of nonadjacent generalized order statistics (GOS) of random samples drawn from doubly truncated class of continuous distributions. Recurrence relations for joint moments of nonadjacent GOS (ordinary order statistics (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product moment gene...
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 کاملPlacement and Sizing of Various Renewable Generations in Distribution Networks with Consideration of Generation Uncertainties using Point Estimate Method
Abstract: Deploying Distributed Generation (DG) units has increased due to yearly increase of electric energy demand and technological advancements beyond Smart Grid. Although, DGs offer several advantages such as reducing economic costs and environmental impacts, the operation of these units in power systems creates several problems. In this paper, optimal allocation and sizing of DG units in ...
متن کاملParallel computation framework for optimizing trailer routes in bulk transportation
We consider a rich tanker trailer routing problem with stochastic transit times for chemicals and liquid bulk orders. A typical route of the tanker trailer comprises of sourcing a cleaned and prepped trailer from a pre-wash location, pickup and delivery of chemical orders, cleaning the tanker trailer at a post-wash location after order delivery and prepping for the next order. Unlike traditiona...
متن کاملOn Distributions of Generalized Order Statistics
In a wide subclass of generalized order statistics, representations of marginal density and distribution functions are developed. The results are applied to obtain several relations, such as recurrence relations, and explicit expressions for the moments of generalized order statistics from Pareto, power function and Weibull distributions. Moreover, characterizations of exponential distributions...
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:
- J. Applied Probability
دوره 52 شماره
صفحات -
تاریخ انتشار 2015