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تقدير دالة الأنحدار اللامعلمي باستخدام بعض الطرائق اللامعلمية الرتيبة
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المستخلـص

تم في هذا البحث دراسة الطرائق اللامعلمية الرتيبة لتقدير دالة الأنحدار اللامعلمي، ومعالجة القيم الشاذة الموجودة في دالة الأنحدار اللامعلمي لجعل الدالة رتيبة (متزايدة أو متناقصة).

لذا سنقوم أولاً بتقدير دالة الأنحدار اللامعلمي بإستخدام ممهد Kernel ومن ثم تطبيق الطرائق الرتيبة لجعل الدالة متزايدة إذ سنتناول ثلاث طرائق للتقدير:-

1- طريقة stern)-Mukerjee) إذ سيتم الأستفادة من الحدود الدنيا والحدود العليا للمجاميع الجزئية للبيانات لتعديل مقدر Kernel بإستخدام دالة تقلص (Shrunken).

2- إعتماداً على الطريقة الأولى سيتم أستخدام الحالة الخاصة لدالة التقلص (Shrunken) عندما بوصفها طريقة أخرى مستقلة عن الطريقة الأولى.

3- خوارزمية الأنحدار الرتيب ذو المربعات الصغرى (LSIR) لمعالجة القيم الشاذة.

 

وسيتم في هذا البحث مقارنة بين هذه الطرائق من خلال إيجاد متوسط مربعات الخطأ والكفاءة النسبية لكل مقدر ولكل أنموذج في الجانب التجريبي من خلال أسلوب محاكاة مونتي كارلو (Monte Carlo)، وتم ايضا مقارنة الطرائق من خلال التطبيق على بيانات لخمسة وعشرين مريضاً مصابين بضغط الدم (العالي والواطئ) وتم التوصل الى أن طريقة stern)-Mukerjee) هي الأفضل من بين الطرائق الأخرى.

 

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Publication Date
Sat Oct 03 2026
Journal Name
Al Fath Journal
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Wed Dec 14 2022
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