العائلة الاسية المعممة الفردية الجديدة: الخصائص الاحصائية والتطبيقات
DOI:
https://doi.org/10.54153/sjpas.2025.v7i2.1018الكلمات المفتاحية:
العائلة المقترحة NOGE-G، توزيع معكوس ويبل، دالة المخاطرة، العزوم، دالة الإمكان الاعظمالملخص
تعرض هذه المقالة عائلة الاسية المعممة الفردية الجديدة (NOGRIW)، وهي عائلة توزيع تم اكتشافها مؤخرًا. تمت دراسة الخصائص الإحصائية لعائلة جديدة والتي تشمل ما يلي: وظيفة البقاء ووظيفة الخطر. لقد أخذنا بعين الاعتبار دالة الخطر التراكمية، لحظاتها، الدالة المميزة، الدالة الكمية وريني انتروبي. تم أيضًا أخذ التقدير من طريقة الاحتمالية القصوى لتقدير المعلمة في الاعتبار. قمنا بتوسيع ودمج توزيع ويبل العكس معه (IW)لاستكشاف السلوك المقارب للتقديرات في ظل طريقة التقدير. أدى ذلك إلى توزيع موسع جديد، والذي قمنا بعد ذلك بمحاكاته باستخدام محاكاة مونت كارلو لتقدير المعلمات غير المعروفة. وقد تبين أن توزيع NOGEIW عملي ومفيد حقًا من خلال تطبيقه على مجموعتين فعليتين من البيانات.
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