asymptotic property of order statistics and sample quntile

thesis
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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document type: thesis

وزارت علوم، تحقیقات و فناوری - دانشگاه رازی - دانشکده علوم

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