الرياضيات المدرسية

ملخص محاضرات الإحصاء الرياضي PDF-تحميل مباشر-Mathematical Statistics

musa abdalmaged

محاضرات الإحصاء الرياضي PDF

Lectures of Mathematical Statistics

محاضرات الإحصاء الرياضي PDF

ملخص مادة الاحصاء الرياضي

تأليف: بوعبدالله صالح

نبذة من محتويات كتاب محاضرات الاحصاء الرياضي:

نبذة تاريخية عن تطور علم الاحصاء

الفصل 1:تزكير بالمفاهيم الاساسية للاحتمالات
مفهوم التجربة والحدث والاحتمال

خصائص الاحتمال
الاركان الخمسة في حساب الاحتمالات
تعريف باسكال للاحتمال

الفصل 2:المتغيرات العشوائية

مفهوم المتغيرة العشوائية
التوزيع الاحتمالي للمتغيرة المتقطعة
التمثيل البياني لكثافة الدالة الاحتمالية
التوزيع الاحتمالي المستمر
دالة التوزيع
قاعدة لايبنز

الفصل 3:التوقع الرياضي والتباينالتوقع الرياضي
تعريف التوقع
توقع دالة
خصائص التوقع الرياضي
التباين والانحراف المعياري
تعريف التباين وخصائصة
العزوم والدالة المتجددة للعزوم
نظرية الاعداد الكبيرة
نظرية شيبيشيف

الفصل 4 :التوزيعات الاحتمالية الاكثر استخداماً

التوزيعات الاحتمالية المتقطعة
التوزيع الهندسي
التوزيع الهندسي الزائد
توزيع برنولي
التوزيع الثنائي
التوزيع الثاني(توزيع باسكال)
التوزيع المتعدد
توزيع بواسون
التوزيعات الاحتمالية الشائعة المستمرة
التوزيع الطبيعي او توزيع لابلاس قوس
التوزيع الاسي
تويع قاما
توزيع بيتا
خلاصة

الفصل 5: المتغيرات العشوائية متغيرة الابعاد

التوزيعات المشتركة والدالة الهامشية
التوزيعات المشتركة المتصلة
التوزيع الشرطي
خلاصة
الاستقلال والتباين والارتباط
التباين المشترك
معامل الارتباط

الفصل 6: دوال المتغيرات العشوائية والتقارب

الدوال غير الخطية فيشر وستودنت
توزيع فيشر
توزيع ستيودنت
السلوك التقاربي لبعض التوزيعات الاحتمالية
التقارب بين التوزيع الثنائي والمستمر
نظرية النهاية المركزية

الفصل 7: نظرية توزيع المعاينةالمجتمع والعينة
العينة النفادية والعينة غير النفادية
العينة العشوائية
معالم المجتمع
متوسط توزيع المعاينة للمتوسطات
طبيعة توزيع M

الفصل 8:نظرية التقديرمفاهيم اساسية
التقدير النقطي والتقدير بمجال
مجال الثقة للمتوسط
مجال الثقة للتباين
طريقة العزوم
اختبار المتوسط
خلاصة

للحصول علي أفضل 500 كتاب فيزياء 👈👈مكتبة الفيزياء الالكترونية

أفضل 150 كتاب رياضيات 👈👈👈 مكتبة الرياضيات الجامعية والمدرسية

كتاب محاضرات الإحصاء الرياضيPDF تحميل برابط مباشر

مع تحيات إدارة موقع الفيزياء.كوم

ونتمني لكم تصفح أجمل لمحتوي موقعنا

ودمتم في أتم صحة وعافية وساهم معنا في نشر العلم

فالدال علي الخير كفاعلة.

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musa abdalmaged

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