TY - JOUR AU - Saadati Nik, Ali AU - Asgharzadeh, Akbar AU - Nadarajah, Saralees PY - 2019/01/01 Y2 - 2024/03/29 TI - Comparisons of Methods of Estimation for a New Pareto-type Distribution JF - Statistica JA - Stat VL - 79 IS - 3 SE - Articles DO - 10.6092/issn.1973-2201/9331 UR - https://rivista-statistica.unibo.it/article/view/9331 SP - 291-319 AB - Bourguignon et al. (2016) introduced a new Pareto-type distribution to model income and reliability data. The aim of this paper is to estimate the parameters of this distribution from both frequentist and Bayesian view points. The maximum likelihood estimates, method of moment estimates, percentile estimates, least square and weighted least square estimates and maximum product of spacing estimates are considered as frequentist estimates. We have also considered the Bayes estimates of the unknown parameters and the associated credible intervals. The Bayes estimates are computed using an importance sampling method. To evaluate the performance of the different estimates, a Monte Carlo simulation study is carried out. Some real life data sets have been analyzed for illustrative purposes. ER -