COMPARATIVE ANALYSIS OF THE INVERSE WEIBULL DISTRIBUTION BY USING TYPE-II CENSORED SAMPLE

Main Article Content

M. ARSLAN NASIR
MUSTAPHA MUHAMMAD

Abstract

Parameter estimation become complicated when censoring is present in the sample. Some time it is not possible to give a mathematical expression about estimated values of parameters in Maximum Likelihood (ML) method. In this situation iteration method is used, to find estimated values of parameters in numeric form . There are several Modified Maximum Likelihood (MML) estimation procedures which provide a mathematical expression about parametric value. For the two-parameter inverse Weibull distribution by using type II censored sample, assuming fixed shape parameter, a modified maximum likelihood estimator is proposed by [1] in which they use a simple approximation for intractable terms to estimate the scale parameter. In this paper a comparative study of the proposed estimator [1] is made with MML estimator of [2] ML estimators of [3].

Keywords:
Inverse weibull distribution, Type II censored sample, Type II censoring, Modified maximum likelihood estimator, order statistics, Bias, Asymptotic variance, Mean square error

Article Details

How to Cite
NASIR, M. A., & MUHAMMAD, M. (2021). COMPARATIVE ANALYSIS OF THE INVERSE WEIBULL DISTRIBUTION BY USING TYPE-II CENSORED SAMPLE. Asian Journal of Advances in Research, 11(2), 28-45. Retrieved from http://mbimph.com/index.php/AJOAIR/article/view/2517
Section
Original Research Article

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