Title : ( Estimation with the lognormal distribution on the basis of records )
Authors: Mahdi Doostparast , Sanjel Deepak , amin zangoie ,Access to full-text not allowed by authors
Abstract
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 values@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},
}
%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