مشخصات پژوهش

صفحه نخست /Point and interval estimation ...
عنوان Point and interval estimation for the logistic distribution based on record data
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Logistic distribution; record data;maximum likelihood estimator; Bayes estimator; Gibbs sampling.
چکیده 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 like- lihood estimators and Bayes estimators can not be obtained in explicit forms.We present a simple method of deriving explicit maximum likelihood estimators by approximating the likelihood func- tion. 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.
پژوهشگران اکبر اصغر زاده (نفر اول)، موسی عبدی (نفر سوم)، رضا ولی اللهی (نفر دوم)