The Hjorth's IDB Generator of Distributions: Properties, Characterizations, Regression Modeling and Applications

DOI

10.2991/jsta.d.200302.001How to use a DOI?

Keywords

Hjorth model; Generalized distribution family; Regression; Residual analysis; Characterizations; Bathtub; Hazard rate; PISA data; Student cognitive skill data

Abstract

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.

Copyright

© 2020 The Authors. Published by Atlantis Press SARL.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)
View full text (HTML)

TY  - JOUR
AU  - Mustafa Ç. Korkmaz
AU  - Emrah Altun
AU  - Haitham M. Yousof
AU  - G. G. Hamedani
PY  - 2020
DA  - 2020/03/12
TI  - The Hjorth's IDB Generator of Distributions: Properties, Characterizations, Regression Modeling and Applications
JO  - Journal of Statistical Theory and Applications
SP  - 59
EP  - 74
VL  - 19
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200302.001
DO  - 10.2991/jsta.d.200302.001
ID  - Korkmaz2020
ER  -