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العنوان
Studies on Some Generated Family of Bivariate Distributions /
المؤلف
El-Shiekh, Basma Mostafa Mohammed.
هيئة الاعداد
باحث / بسمة مصطفى محمد الشيخ
مشرف / محمد عبد الهادى قاسم
مناقش / مصطفى محمد محى الدين
مناقش / ناهد عبد السلام مخلص
الموضوع
Mathematics.
تاريخ النشر
2022.
عدد الصفحات
88 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات (المتنوعة)
تاريخ الإجازة
19/12/2022
مكان الإجازة
جامعة طنطا - كلية العلوم * - Mathematics
الفهرس
Only 14 pages are availabe for public view

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from 115

Abstract

The thesis is presented as follows. In order to expand the flexibility of probability distributions. Kumaraswamy type method was used to derive truncated bivariate exponential distribution. Also, the joint probability mass function for the geometric sum of the bivariate negative binomial distribution was introduced. We presented a bivariate Exponentiated Fr´echet distribution, then the joint probability density function of bivariate Fr´echet distribution was obtained. Statistical measures of these distributions were derived. Randomly generated data was studied to show the behavior of the estimated parameters as it converges to the true value in all cases when the sample size increases for all distributions by maximum likelihood method. We provided applications to real data sets to show the superiority of proposed distribution compared with other related distributions.