The Exponential Lindley Odd Log-Logistic-G Family: Properties, Characterizations and Applications

DOI

10.2991/jsta.2018.17.3.10How to use a DOI?

Keywords

Exponential Lindley family; odd log-logistic family; mixture distribution family; maximum likelihood; moments; characterizations; generalized distribution family; mixture family

Abstract

A new family of distributions called the exponential Lindley odd log-logistic G family is introduced and studied. The new generator generalizes three newly defined G families and also defines two new G families. We provide some mathematical properties of the new family. Characterizations based on truncated moments as well as in terms of the hazard function are presented. The maximum likelihood 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 a simulation study. Finally, the usefulness of the family is illustrated by means of three real data sets. The new model provides consistently better fits than other competitive models for these data sets.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

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

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TY  - JOUR
AU  - Mustafa Ç. Korkmaz
AU  - Haitham M. Yousof
AU  - G. G. Hamedani
PY  - 2018
DA  - 2018/09/30
TI  - The Exponential Lindley Odd Log-Logistic-G Family: Properties, Characterizations and Applications
JO  - Journal of Statistical Theory and Applications
SP  - 554
EP  - 571
VL  - 17
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2018.17.3.10
DO  - 10.2991/jsta.2018.17.3.10
ID  - Korkmaz2018
ER  -