منابع مشابه
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...
15 صفحه اولThe Area of Exponential Random Walk and Partial Sums of Uniform Order Statistics
Let Si be a random walk with standard exponential increments. We call P k i=1 Si its k-step area. The random variable inf k≥1 2 k(k+1) P k i=1 Si plays important role in the study of so-called one-dimensional sticky particles model. We find the distribution of this variable and prove that P inf k≥1 2 k(k + 1) k X i=1 Si ≥ t ff = P inf k≥1 k X i=1`Si − it´≥ 0 ff = √ 1 − t e −t/2 for 0 ≤ t ≤ ...
متن کاملA procedure based on partial sums of order statistics to detect differentially expressed genes
In this paper we propose a new procedure to select differentially expressed genes between several conditions in microarray experiments. Asymptotic properties for the false discovery rate are proved under mild conditions. We compare by simulations and on a pseudo-real data set our procedure to the Benjamini and Hochberg's procedure and a procedure based on mixture models.
متن کاملMultivariate Dispersive Ordering of Generalized Order Statistics
The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate condi- tions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivari- ate dispersive ordering of GOSs from one sample and Khaledi-Kochar mu...
متن کاملReconstruction of Order Statistics in Exponential Distribution
In this article, a new censoring scheme is considered, namely, a middle part of a random sample is censored. A treatment for reconstructing the missing order statistics is investigated. The proposed procedure is studied in detail under exponential distribution which is widely used as a constant failure model in reliability. Different approaches are used to obtain point and interval reconstructo...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1960
ISSN: 0003-4851
DOI: 10.1214/aoms/1177705676