Journal of Statistical Computation and Simulation, ( ISI ), Volume (83), No (12), Year (2013-12) , Pages (2339-2351)

Title : ( Estimation with the lognormal distribution on the basis of records )

Authors: Mahdi Doostparast , Sanjel Deepak , amin zangoie ,

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‎Record scheme is a method to reduce the total time on test of an‎ ‎experiment‎. ‎In this scheme‎, ‎items are sequentially observed and‎ ‎only values smaller than all previous ones are recorded‎. ‎In some‎ ‎situations‎, ‎when the experiments are time consuming and sometimes‎ ‎the items are lost during the experiment‎, ‎record scheme dominates‎ ‎the usual random sample scheme (Doostparast and Balakrishnan,‎ ‎2010)‎. ‎Estimation of the mean of an exponential distribution‎ ‎based on record data has been treated by Samaniego and Whitaker‎ ‎(1986) and Doostparast (2009)‎. ‎The lognormal distribution is used‎ ‎in a wide range of applications‎, ‎when the multiplicative scale is‎ ‎appropriate and the log-transformation removes the skew and‎ ‎brings about symmetry of the data distribution (Longford‎, ‎2009).‎ ‎In this paper‎, ‎point estimates as well as confidence intervals‎ ‎for the unknown parameters are obtained‎. ‎This will also be‎ ‎addressed by the Bayesian point of view‎. ‎To carry out the performance of the estimators obtained‎, ‎a simulation study is conducted‎. ‎For illustration‎ ‎proposes‎, ‎a real data set‎, ‎due to Lawless (2003)‎, ‎is analyzed‎ ‎using the procedures obtained.‎

Keywords

, Bayes estimation; Confidence interval; Fisher information; Inter, record times; LINEX loss function; Lognormal model; Maximum likelihood estimator; Record
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@article{paperid:1027814,
author = {Doostparast, Mahdi and Sanjel Deepak and Zangoie, Amin},
title = {Estimation with the lognormal distribution on the basis of records},
journal = {Journal of Statistical Computation and Simulation},
year = {2013},
volume = {83},
number = {12},
month = {December},
issn = {0094-9655},
pages = {2339--2351},
numpages = {12},
keywords = {Bayes estimation; Confidence interval; Fisher information; Inter-record times; LINEX loss function; Lognormal model; Maximum likelihood estimator; Record values},
}

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%0 Journal Article
%T Estimation with the lognormal distribution on the basis of records
%A Doostparast, Mahdi
%A Sanjel Deepak
%A Zangoie, Amin
%J Journal of Statistical Computation and Simulation
%@ 0094-9655
%D 2013

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