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Kumaraswamy Alpha Power Weibull Distribution: Properties and Applications

المصدر: مجلة الدراسات والبحوث التجارية
الناشر: جامعة بنها - كلية التجارة
المؤلف الرئيسي: Mead, Mohamed E. (Author)
مؤلفين آخرين: Helmy, Yasmin S. (Co-Author)
المجلد/العدد: س39, ع4
محكمة: نعم
الدولة: مصر
التاريخ الميلادي: 2019
الصفحات: 587 - 607
ISSN: 1110-1547
رقم MD: 1184499
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: EcoLink
مواضيع:
كلمات المؤلف المفتاحية:
Alpha Power Family | Kumaraswamy Family | Maximum Likelihood Estimation | Weibull Distribution
رابط المحتوى:
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المستخلص: We introduce the Kumaraswamy alpha power-G (KuAP-G) family which extends the alpha power transform class (Mahdavi and Kundu, 2015) and some other families. We consider the Weibull as baseline for the KuAP family and generate Kumaraswamy alpha power Weibull distribution which has symmetrical, right-skewed, left-skewed and reversed-J shaped densities, and decreasing, increasing, bathtub, upside-down bathtub, J shaped and reversed-J shaped hazard rates. The importance of the new distribution comes from its ability to model monotone and non-monotone failure rate functions, which are quite common in reliability studies. We derive some basic properties of the new. The maximum likelihood estimation method is used to evaluate the parameters and the observed information matrix is determined. We illustrate the performance of the proposed family of distributions by means of two real data sets.

ISSN: 1110-1547

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