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Showing 3 results for Weibull Distribution.
Elham Basiri, Seyed Mahdi Salehi,
Volume 14, Issue 1 (8-2020)
Abstract
Nowadays inference based on censored samples has been studied by many researchers. One of the most common censoring methods is progressively type II censoring. In this model, n items are put on the test. At each failure times some of the remaining items randomly withdrawn from the test. This process continues until for a pre-fixed value as m, failure times of m items are observed. For determining the best number for the items on the test different criteria can be considered. One of the most important factors that can be considered is the cost criterion. In this paper, by considering cost function and Weibull distribution for the lifetime of items, we find the optimal value for the sample size, i.e. n. In order to evaluate, the obtained results one example based on real data is given.
Motahare Zaeamzadeh, Jafar Ahmadi, Bahareh Khatib Astaneh,
Volume 15, Issue 2 (3-2022)
Abstract
In this paper, the lifetime model based on series systems with a random number of components from the family of power series distributions has been considered. First, some basic theoretical results have been obtained, which have been used to optimize the number of components in series systems. The average lifetime of the system, the cost function, and the total time on test have been used as an objective function in optimization. The issue has been investigated in detail when the lifetimes of system components have Weibull distribution, and the number of components has geometric, logarithmic, or zero-truncated Poisson distributions. The results have been given analytically and numerically. Finally, a real data set has been used to illustrate the obtained results.
Abedin Haidari, Mostafa Sattari, Ghobad Barmalzan,
Volume 16, Issue 1 (9-2022)
Abstract
Consider two parallel systems with their component lifetimes following a generalized exponential distribution. In this paper, we introduce a region based on existing shape and scale parameters included in the distribution of one of the systems. If another parallel system's vector of scale parameters lies in that region, then the likelihood ratio ordering between the two systems holds. An extension of this result to the case when the lifetimes of components follow exponentiated Weibull distribution is also presented.
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