asymptotic property of order statistics and sample quntile
thesis
- وزارت علوم، تحقیقات و فناوری - دانشگاه رازی - دانشکده علوم
- author مولود عبدالهی
- adviser رضا هاشمی عبدالرضا سیاره
- Number of pages: First 15 pages
- publication year 1388
abstract
چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده از قانون لگاریتم مکرر به بررسی دقت مجانبی آماره های ترتیبی تعمیم یافته، زمان های رکورد و فرآیندهای گسسته مرتبط، فرآیندهای تجربی یکنواخت و حالت کلی آنها، و همچنین به بررسی همگرایی کامل و همگرایی گشتاوری کامل از فرآیندهای میانگین متحرک براساس متغیرهای تصادفی وابسته می پردازیم و توزیع حدی آماره های ترتیبی و تابعی از آنها را بررسی می کنیم.
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وزارت علوم، تحقیقات و فناوری - دانشگاه رازی - دانشکده علوم
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