مشخصات پژوهش

عنوان	Statistical inference for a two-parameter distribution with a bathtub-shaped or increasing hazard rate function based on record values and inter-record times with an application to COVID-19 data
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Two-parameter bathtub-shaped distribution, inter-record times, predictive distribution, COVID-19 data, Markov chain Monte Carlo simulation
چکیده	In this paper, we study the problem of estimation and prediction for a two-parameter distribution with a bathtub-shaped or increasing fail￾ure rate function based on lower records and inter-record times, and based on lower records without considering the inter-record times. The maximum likelihood and Bayesian approaches are employed to estimate the unknown parameters. As it seems that the Bayes esti￾mates cannot be derived in a closed form, the Metropolis-Hastings within Gibbs algorithm is implemented to obtain the approximate Bayes point estimates. Bayesian prediction of a future record value is also discussed. A simulation study is conducted to evaluate the proposed point and interval estimators. A real data set consisting of COVID-19 data from Iran is analyzed to illustrate the application of the theoretical results of the paper. Moreover, a simulated data example is presented. Several concluding remarks end the paper.
پژوهشگران	سیدمحمدتقی کامل میرمصطفائی (نفر دوم)، زهرا خوشخو امیری (نفر اول)