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Showing 7 results for Usual Stochastic Order
Ghobad Barmalzan, Abedin Haidari, Khaled Masomifard,
Volume 9, Issue 2 (2-2016)
Abstract
In this paper, series and parallel systems, when the lifetimes of their components following the scale model are studied and different stochastic orderings between them are discussed. Moreover, we apply these results to the series and parallel systems consisting of exponentiated Weibull or generalized gamma components. The presented results in this paper complete and extend some known results in the literature.
Rabeeollah Rahmani, Muhyiddin Izadi,
Volume 12, Issue 2 (3-2019)
Abstract
Consider a system consisting of n independent binary components. Suppose that each component has a random weight and the system works, at time t, if the sum of the weight of all working components at time t, is above a pre-specified value k. We call such a system as random-weighted-k-out-of-n system. In this paper, we investigate the effect of the component weights and reliabilities on the system performance and show that the larger weights and reliabilities, the larger lifetime (with respect to the usual stochastic order). We also show that the best random-weighted-k-out-of-n system is obtaind when the components with the more weights have simultaneously more reliability. The reliability function and mean time to failure of a random-weighted-k-out-of-n system are stated based on the reliability function of coherent systems. Furthermore, a simulation algorithm is presented to observe the mean time to failure of random-weighted-k-out-of-n system.
Ghobad Barmalzan, Abedin Haidari,
Volume 13, Issue 2 (2-2020)
Abstract
This paper examines the problem of stochastic comparisons of series and parallel systems with independent and heterogeneous components generalized linear failure rate. First, we consider two series system with possibly different parameters and obtain the usual stochastic order between the series systems. Next, we drive the usual stochastic order between parallel systems. We also discuss the usual stochastic order between parallel systems by using the unordered majorization and the weighted majorization order between the parameters on the Ɗп.
Masoud Amiri, muhyiddin Izadi, baha-Eldin Khaledi,
Volume 14, Issue 1 (8-2020)
Abstract
In this paper, the worst allocation of deductibles and limits in layer policies are discussed from the viewpoint of the insurer. It is shown that if n independent and identically distributed exponential risks are covered by the layer policies and the policy limits are equal, then the worst allocation of deductibles from the viewpoint of the insurer is (d, 0, ..., 0).
Mohadaseh Khayyat, Rasool Rozegar, Ghobad Barmalzan,
Volume 14, Issue 1 (8-2020)
Abstract
The modified proportional hazard rates model, as one of the flexible families of distributions in reliability and survival analysis, and stochastic comparisons of (n-k+1) -out-of- n systems comprising this model have been introduced by Balakrishnan et al. (2018). In this paper, we consider the modified proportional hazard rates model with a discrete baseline case and investigate ageing properties and preservation of the usual stochastic order, hazard rate order and likelihood ratio order in this family of distributions.
Ebrahim Amini Seresht, Ghobad Barmalzan,
Volume 14, Issue 2 (2-2021)
Abstract
This paper examines the problem of stochastic comparisons of k-out-of-n systems with independent multiple-outlier scale components. In this regard, we first consider a k-out-of-n system comprising multiple-outlier scale components and then, by using a permanent function, investigate the likelihood ratio order between these systems.
Ghobad Barmalzan, Ali Akbar Hosseinzadeh, Ebrahim Amini Seresht,
Volume 15, Issue 2 (3-2022)
Abstract
This paper discusses the hazard rate order of the fail-safe systems arising from two sets of independent multiple-outlier scale distributed components. Under certain conditions on scale parameters in the scale model and the submajorization order between the sample size vectors, the hazard rate ordering between the corresponding fail-safe systems from multiple-outlier scale random variables is established. Under certain conditions on the Archimedean copula and scale parameters, we also discuss the usual stochastic order of these systems with dependent components.
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