کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
417185 681464 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A generalized modified Weibull distribution for lifetime modeling
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
A generalized modified Weibull distribution for lifetime modeling
چکیده انگلیسی

A four parameter generalization of the Weibull distribution capable of modeling a bathtub-shaped hazard rate function is defined and studied. The beauty and importance of this distribution lies in its ability to model monotone as well as non-monotone failure rates, which are quite common in lifetime problems and reliability. The new distribution has a number of well-known lifetime special sub-models, such as the Weibull, extreme value, exponentiated Weibull, generalized Rayleigh and modified Weibull distributions, among others. We derive two infinite sum representations for its moments. The density of the order statistics is obtained. The method of maximum likelihood is used for estimating the model parameters. Also, the observed information matrix is obtained. Two applications are presented to illustrate the proposed distribution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Statistics & Data Analysis - Volume 53, Issue 2, 15 December 2008, Pages 450–462
نویسندگان
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