URV's Author/s: Abdi, Mousa Valiollahi, Reza Asgharzadeh, Akbar

Keywords: Logistic distribution, record data,maximum likelihood estimator, Bayes estimator, Gibbs sampling

Abstract: In this paper, based on record data from the two-parameter logistic distribution, the maximum likelihood and Bayes estimators for the two unknown parameters are derived. The maximum likelihood estimators and Bayes estimators can not be obtained in explicit forms. We present a simplemethod of deriving explicit maximum likelihood estimators by approximating the likelihood function. Also, an approximation based on the Gibbs sampling procedure is used to obtain the Bayes estimators. Asymptotic confidence intervals, bootstrap confidence intervals and credible intervals are also proposed. Monte Carlo simulations are performed to compare the performances of the different proposed methods. Finally, one real data set has been analysed for illustrative purposes.

Journal publication year: 2016

Publication Type: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article