10 فروردین 1403
مراد عليزاده

مراد علیزاده

مرتبه علمی: استادیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه آمار
تحصیلات: دکترای تخصصی / امار ریاضی
تلفن: 0
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان A New Generalized Family of Lifetime Distributions Motivated by Parallel and Series Structures
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله Statistics, Optimization and Information Computing
شناسه DOI
پژوهشگران مهدی گلدوست (نفر اول) ، عادل محمدپور (نفر دوم) ، مراد علیزاده (نفر سوم) ، غلامحسین همدانی (نفر چهارم)

چکیده

Any given system can be represented as a parallel arrangement of series structures. Motivated by this fact, a general family of distributions is introduced, by adding two extra parameters to a distribution (called baseline distribution), twice compounding with power series distribution. The new family can allow various hazard rate curves that compete well with other alternatives in fitting real data. We derive formal expressions for its moments, generating function, mean residual lifetime and other reliability functions. Certain characterizations of the new family are presented in terms of the ratio of two truncated moments as well as based on the hazard rate function. The maximum likelihood estimation technique is used to estimate the model parameters and a simulation study is conducted to investigate the performance of the maximum likelihood estimates. Finally, two applications of the model with real data sets are presented to illustrate the usefulness of the proposed distribution.