Document Type
Article
Publication Date
3-2020
Publisher
Atlantis Press
Source Publication
Journal of Statistical Theory and Applications
Source ISSN
1538-7887
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.
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Recommended Citation
Korkmaz, Mustafa Ç.; Altun, Emrah; Yousof, Haitham M.; and Hamedani, Gholamhossein G., "The Hjorth's IDB Generator of Distributions: Properties, Characterizations, Regression Modeling and Applications" (2020). Mathematical and Statistical Science Faculty Research and Publications. 103.
https://epublications.marquette.edu/math_fac/103
Comments
Published version. Journal of Statistical Theory and Applications, Vol. 19, No. 1 (March 2020): 59-74. DOI. © 2020 Atlantis Press. Used with permission.