Title :
Parameter estimations with gamma distribution based on progressive type- I interval censoring
Author :
Xiuyun, Peng ; Zaizai, Yan
Author_Institution :
Sci. Coll., Inner Mongolia Univ. of Technol., Hohhot, China
Abstract :
This paper discusses the maximum likelihood estimator and moment estimator for the two-parameter gamma distribution based on progressive type-I interval censored sample. We obtained the maximum likelihood estimator and moment estimator using the EM algorithm and numerical method, respectively. We made comparisons these estimations using a Monte Carlo simulation in terms of relative errors and mean squared errors.
Keywords :
Monte Carlo methods; expectation-maximisation algorithm; gamma distribution; mean square error methods; EM algorithm; Monte Carlo simulation; gamma distribution; maximum likelihood estimator; mean squared errors; moment estimator; numerical method; parameter estimation; progressive type-I interval censoring; Equations; Maximum likelihood estimation; Moment methods; Shape; Simulation; Weibull distribution; EM algorithm; Gamma distribution; Maximum likelihood estimator; Moment estimator;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5953259
