RESEARCH ARTICLE


A Note on the Maximum Likelihood Estimators for the Mixture of Maxwell Distributions Using Type-I Censored Scheme



Syed Mohsin Ali Kazmia, *, Muhammad Aslamb, Sajid Alib
a Sustainable Development Policy Institute Islamabad, 44000, Pakistan.
b Quaid-i-Azam University Islamabad, Pakistan


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© 2011 Mohsin Ali Kazmi et al.;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Sustainable Development Policy Institute Islamabad, 44000, Pakistan. Tel: +923346545319; E-mail: mohsinstats@yahoo.com


Abstract

This article focuses on the study of mixture density under Type I censoring scheme by taking Maxwell distribution as a life time model. In this paper we sculpt a heterogeneous population by means of two components mixture of the Maxwell distribution. We derive the maximum likelihood estimators using type-I censored data and also their variances matrix. The problem with ML estimators is discussed. The Maple 13.0 code is also presented in appendix.

Keywords: Finite mixture of Maxwell distribution, Censored sampling, Fixed termination time, ML..