Statistics, ( ISI ), Volume (47), No (5), Year (2013-1) , Pages (1075-1089)

Title : ( Pareto analysis based on records )

Authors: Mahdi Doostparast , N. Balakrishnan ,

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Estimation of the parameters of an exponential distribution based on record data has been treated by Samaniego and Whitaker [On estimating population characteristics from record-breaking observations, I. Parametric results, Naval Res. Logist. Q. 33 (1986), pp. 531–543] and Doostparast [A note on estimation based on record data, Metrika 69 (2009), pp. 69–80]. Recently, Doostparast and Balakrishnan [Optimal record-based statistical procedures for the two-parameter exponential distribution, J. Statist. Comput. Simul. 81(12) (2011), pp. 2003–2019] obtained optimal confidence intervals as well as uniformly most powerful tests for one- and two-sided hypotheses concerning location and scale parameters based on record data from a two-parameter exponential model. In this paper, we derive optimal statistical procedures including point and interval estimation as well as most powerful tests based on record data from a two-parameter Pareto model. For illustrative purpose, a data set on annual wages of a sample of production-line workers in a large industrial firm is analysed using the proposed procedures.

Keywords

, generalized likelihood ratio test; invariant test; monotone likelihood ratio; shortest, width confidence interval; two, parameter Pareto model; uniformly most powerful
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@article{paperid:1026960,
author = {Doostparast, Mahdi and N. Balakrishnan},
title = {Pareto analysis based on records},
journal = {Statistics},
year = {2013},
volume = {47},
number = {5},
month = {January},
issn = {0233-1888},
pages = {1075--1089},
numpages = {14},
keywords = {generalized likelihood ratio test; invariant test; monotone likelihood ratio; shortest-width confidence interval; two-parameter Pareto model; uniformly most powerful test},
}

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%0 Journal Article
%T Pareto analysis based on records
%A Doostparast, Mahdi
%A N. Balakrishnan
%J Statistics
%@ 0233-1888
%D 2013

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