Document Type

Article

Language

eng

Publication Date

2019

Publisher

Journal of Statistical Distributions and Applications

Source Publication

Springer

Source ISSN

2195-5832

Abstract

In this paper, a flexible family of distributions with unimodel, bimodal, increasing, increasing and decreasing, inverted bathtub and modified bathtub hazard rate called Burr III-Marshal Olkin-G (BIIIMO-G) family is developed on the basis of the T-X family technique. The density function of the BIIIMO-G family is arc, exponential, left- skewed, right-skewed and symmetrical shaped. Descriptive measures such as quantiles, moments, incomplete moments, inequality measures and reliability measures are theoretically established. The BIIIMO-G family is characterized via different techniques. Parameters of the BIIIMO-G family are estimated using maximum likelihood method. A simulation study is performed to illustrate the performance of the maximum likelihood estimates (MLEs). The potentiality of BIIIMO-G family is demonstrated by its application to real data sets.

Comments

Published version. Journal of Statistical Distributions and Applications, Vol. 6, (2019): Article 12. DOI. © 2019 Springer. Used with permission.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

hamedani_13619acc.docx (565 kB)
ADA Accessible Version

Share

COinS