Open AccessEstimation under Burr type X distribution based on doubly type II censored sample of dual generalized order statistics
Author(s) -
Abd EL-Baset A. Ahmad,
Magdy E. El-Adll,
Tahani A. Aloafi
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.03.011
Subject(s) - mathematics , statistics , order statistic , scale parameter , estimator , shape parameter , type (biology) , monte carlo method , bayes' theorem , distribution (mathematics) , scale (ratio) , sample (material) , location parameter , sample size determination , bayes estimator , bayesian probability , mathematical analysis , ecology , physics , chemistry , chromatography , quantum mechanics , biology
AbstractIn this paper, maximum likelihood and Bayes estimates of the parameters for Burr type X distribution based on doubly type II censored sample of dual generalized order statistics are obtained. Two different cases are considered. In the first case, the shape parameter is estimated when the scale parameter is known while in the second case the estimators for scale and shape parameters are obtained when both parameters are assumed to be unknown. For Bayesian estimation, Monte Carlo Integration is used to improve the approximation of resulting integrals. Simulation studies are conducted to demonstrate the efficiency of the proposed methods through two special cases