期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2020
卷号：19
期号：1
页码：59-74
DOI：10.2991/jsta.d.200302.001
语种：English
出版社：Atlantis Press
摘要：We introduce a new flexible class of continuous distributions via the Hjorth's IDB model. We provide some mathematical properties of the new family. Characterizations based on two truncated moments, conditional expectation as well as in terms of the hazard function are presented. The maximum likelihood method is used for estimating the model parameters. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of the simulation study. A new regression model as well as residual analysis are presented. Finally, the usefulness of the family is illustrated by means of four real data sets. The new model provides consistently better fits than other competitive models for these data sets.
关键词：Hjorth model; Generalized distribution family; Regression; Residual analysis; Characterizations; Bathtub; Hazard rate; PISA data; Student cognitive skill data
