Title : ( Confidence intervals based on lower and upper record process in multi-sequences random variables )
Authors: Mostafa Razmkhah , Jafar Ahmadi ,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@inproceedings{paperid:1009949,
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 = {IRAN},
keywords = {Confidence interval; Order
statistics; Quantile},
}
%0 Conference Proceedings
%T Confidence intervals based on lower and upper record process in multi-sequences random variables
%A Razmkhah, Mostafa
%A Ahmadi, Jafar
%J ششمین سمینار احتمال و فرآیندهای تصادفی
%D 2007