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Farlie-Gumbel-Morgenstern Bivariate Exponentaited Weibull Distribution with Applications

المصدر: مجلة التجارة والتمويل
الناشر: جامعة طنطا - كلية التجارة
المؤلف الرئيسي: Fakhry, Amal (Author)
مؤلفين آخرين: Mahdy, Mervat (Co-Author) , Nofal, Zohdy M. (Co-Author)
المجلد/العدد: ع3
محكمة: نعم
الدولة: مصر
التاريخ الميلادي: 2023
الشهر: سبتمبر
الصفحات: 407 - 439
ISSN: 1110-4716
رقم MD: 1421185
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: EcoLink
مواضيع:
كلمات المؤلف المفتاحية:
Exponentaited Weibull Distribution | FGM Copula | Maximum Likelihood Estimation
رابط المحتوى:
صورة الغلاف QR قانون
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المستخلص: The bivariate Exponentaited Weibull distribution is an important lifetime distribution in survival analysis. In this paper, Farlie- Gumbel-Morgenstern (FGM) copula and Exponentaited Weibull marginal distribution are used for creating bivariate distribution which is called FGM bivariate Exponentaited Weibull (FGMBEW) distribution. FGMBEW distribution is used for describing bivariate data that have weak correlation between variables in lifetime data. It is agood alternative to bivariate several lifetime distributions for modeling real-valued data in application. Some properties of the FGMBEW distribution are obtained such as product moment, moment generating function, reliability function and hazard function. Estimation method for parameters estimation is discussed for FGMBEW distribution namely maximum likelihood estimation. A simulations study is conducted to evaluate the performance of the estimators. Also, a real data set is introduced, analyzed to investigate the model and useful results are obtained for illustrative purposes.

ISSN: 1110-4716

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