بعض خصائص توزيع جمبيرتز توب ليون معكوس ويبل مع تطبيق
محتوى المقالة الرئيسي
الملخص
في هذا البحث سنقدم توزيعا جديدا يتكون من اربعة معالم ويسمى بتوزيع جمبيرتز توب ليون معكوس ويبل وتمتاز بمرونة عالية وملائمة جيدة لنمذجة البيانات. كما ويمكن دمج معكوس التوزيع ويبل بمعالم أكثر لتوليد العديد من التوزيعات الجديدة. ثم نقوم بتوسيع التوزيع وإعادة كتابة كل من دالة التوزيع التراكمي CDF ودالة الكثافة الاحتمالية PDF لتوزيع جديد وايضا يعطي التوزيع الجديد اشكال بيانية لدالة الكثافة الاحتمالية وتكون ممتدة أكثر او الملتوية لليسار. كما نقدم العديد من الخصائص الاحصائية للتوزيع الجديد مثل العزوم والدالة المولدة للعزوم والدالة التجزيئية والدالة البقاء ودالة المخاطرة وبعض الدوال الاخرى. وكذلك تم تطبيق طريقة الامكان الاعظم لتقدير معالم التوزيع الجديد. ولبيان مدى ملائمة ومرونة التوزيع الجديد تم استخدام مجموعة من البيانات الحقيقية التي تتعلق بأجمالي انتاج حليب في اول ولادة (107) بقرة من سلالة SINDI وحيث اثبت التوزيع الجديد ملائمة عالية ومرونة جيدة في نمذجة للبيانات الحقيقية بالمقارنة مع بعض التوزيعات المعروفة باستخدام بعض المعايير الاحصائية.
التنزيلات
تفاصيل المقالة
المراجع
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