Statistical Inference for Gompertz Distribution based on Progressive Type-II Censored Data with Binomial Removals

Statistica

Manoj Chacko¹  Rakhi Mohan¹ 

[1] University of Kerala;

关键词: Gompertz distribution;    Progressive type-II censoring;    Binomial removals;    Bayes estimates;    MCMC method;   

DOI  :  10.6092/issn.1973-2201/7847

来源: DOAJ

【 摘 要 】

In this paper, the problem of estimation of parameters for a two-parameterGompertz distribution is considered based on a progressively type-II censored sample with binomial removals. Together with the unknown parameters, the removal probability is also estimated. The maximum likelihood estimators of the parameters and the asymptotic variance-covariance matrix of the estimates are obtained. Bayes estimators are also obtained using different loss functions such as squared error, LINEX and general entropy. A simulation study is performed for comparison between various estimators developed in this paper. A real data set is also used for illustration.

【 授权许可】

Unknown