Asymptotic Theory of Statistics and Probability

asymptotic property of order statistics and sample quntile

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...

Asymptotic probability distributions of some permutation statistics

We present in this work results on some distributions of permutation statistics of random elements of the wreath product Gr,n = Cr ! Sn. We consider the distribution of the descent number, the flag major index, the excedance, and the number of fixed points, over the whole group Gr,n or over the subclasses of derangements and involutions. We compute the mean, variance and moment generating funct...

Probability Theory and Statistics. Lecture notes

A Review of Statistics and Probability Journals in ISI Database

As in recent years the scientific productivity about ISI database and other related database have been increased, it is eligible for researchers of Statistics in Iran to know more about these journals and their statues in ISI database. In this study with the use of bibliometric methods, we have reviewed the status of Statistics and Probability . From all nations around the world, these are only...

On the asymptotic theory of permutation statistics

In this paper limit theorems for the conditional distributions of linear test statistics are proved. The assertions are conditioned on the σ-field of permutation symmetric sets. Limit theorems are proved both for the conditional distributions under the hypothesis of randomness and under general contiguous alternatives with independent but not identically distributed observations. The proofs are...