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publication name A New Two-Parameter Weibull Distribution with Variable
Authors Mohamed Zayed
year 2018
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Abstract

الملخص في هذا البحث تم تعريف ودراسة توزيع احتمالي مستمر جديد بمعلمتين فقط. يتميز التوزيع الجديد بقدرته علي إعطاء الإشكال الهامة لدالة الفشل. تم دراسة الخصائص المختلفة للتوزيع. تم استخدام طريقة الإمكان الأعظم لتقدير معالم التوزيع. باستخدام عينه من البيانات الفعلية تم تقدير معالم التوزيع وبيان أهميته ومرونته في مقابل التوزيعات الاخري. Abstract In this paper, we introduce a new two parameter life time distribution based on Burr and Weibull distributions. This distribution includes monotone and non-monotone hazard rate functions, which are useful in lifetime data analysis and reliability. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Renyi and δ-entropies, order statistics and probability weighted moments are derived. The maximum likelihood is used for estimating the model parameters. The importance and flexibility of the new distribution are illustrated by means of an application to real data set

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