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العنوان
Estimating the parameters of gamma/gompertz distribution based on a ranked set sampling methods /
المؤلف
By Nuran Medhat Hassan AL-Mawan ,
هيئة الاعداد
باحث / Nuran Medhat Hassan AL-Mawan
مشرف / El-Houssainy Abdel Bar Rady
مشرف / Nasr Ibrahim Rashwan
مشرف / Mohamed Reda Abonazel
الموضوع
ranked set sampling
تاريخ النشر
2022.
عدد الصفحات
123 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
1/1/2022
مكان الإجازة
جامعة القاهرة - المكتبة المركزية - Applied Statistics and Econometric
الفهرس
Only 14 pages are availabe for public view

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Abstract

The aim of the study is to estimate the unknown parameters the Gamma/Gompertz distribution by using different estimation methods based on different sampling techniques to select the units in the sample. These estimation methods are the maximum likelihood method and the Linear moments method. These sampling techniques are simple random sampling, ranked set sampling, median ranked set sampling, percentile ranked set sampling, and neoteric ranked set sampling methods. To find the most effective method, we compared all the mean square errors of the ordered sampling methods based on a simple random sampling technique. Two real data sets were used to evaluate the performance of the distribution by using the two estimation methods based on simple random sampling, ranked set sampling, median ranked set sampling, and percentile ranked set sampling methods. Finally, the estimation methods were compared to determine the best one for estimating the unknown parameters for the distribution