ششمین سمینار احتمال و فرآیندهای تصادفی , 2007-09-05

#### Title : ( Confidence intervals based on lower and upper record process in multi-sequences random variables )

Authors: Mostafa Razmkhah , Jafar Ahmadi ,

Citation: BibTeX | EndNote

#### Abstract

It is worthwhile that interest will focus on lower and upper records, simultaneously. In this paper, we intend to investigate some properties of such a records in two different plans. To this end, let $X_{i,j}$ $(1\\\\\\\\leq i\\\\\\\\leq k,j \\\\\\\\geq 1)$ be independent sequences of random variables and from each, $m$ upper and $n$ lower record values are extracted, jointly. We consider the problems of constructing the distribution-free confidence intervals based on simultaneous record data. We compare the results in a single sequence ($k=1$) and in a multi-sequence ($k > 1$) of observations. It is shown that how one can choose the minimum number of required records.

#### Keywords

, Confidence interval, Order statistics, Quantile
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@inproceedings{paperid:1009520,
author = {Razmkhah, Mostafa and Ahmadi, Jafar},
title = {Confidence intervals based on lower and upper record process in multi-sequences random variables},
booktitle = {ششمین سمینار احتمال و فرآیندهای تصادفی},
year = {2007},
location = {بابلسر, IRAN},
keywords = {Confidence interval; Order statistics; Quantile},
}