Next Article in Journal
Product Channeling in an O2O Supply Chain Management as Power Transmission in Electric Power Distribution Systems
Next Article in Special Issue
Optimal Repeated Measurements for Two Treatment Designs with Dependent Observations: The Case of Compound Symmetry
Previous Article in Journal
The Bounds of the Edge Number in Generalized Hypertrees
Previous Article in Special Issue
Computation of Probability Associated with Anderson–Darling Statistic
Open AccessArticle

The Modified Beta Gompertz Distribution: Theory and Applications

1
Institute of Statistical Studies and Research (ISSR), Department of Mathematical Statistics, Cairo University, Giza 12613, Egypt
2
Department of Statistics, Govt. S.A Postgraduate College Dera Nawab Sahib, Bahawalpur, Punjab 63360, Pakistan
3
Department of Mathematics, LMNO, University of Caen, 14032 Caen, France
4
Department of Statistics, University of Jeddah, Jeddah 21589, Saudi Arabia
5
Department of Statistics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(1), 3; https://doi.org/10.3390/math7010003
Received: 7 November 2018 / Revised: 11 December 2018 / Accepted: 17 December 2018 / Published: 20 December 2018
(This article belongs to the Special Issue Applied and Computational Statistics)
In this paper, we introduce a new continuous probability distribution with five parameters called the modified beta Gompertz distribution. It is derived from the modified beta generator proposed by Nadarajah, Teimouri and Shih (2014) and the Gompertz distribution. By investigating its mathematical and practical aspects, we prove that it is quite flexible and can be used effectively in modeling a wide variety of real phenomena. Among others, we provide useful expansions of crucial functions, quantile function, moments, incomplete moments, moment generating function, entropies and order statistics. We explore the estimation of the model parameters by the obtained maximum likelihood method. We also present a simulation study testing the validity of maximum likelihood estimators. Finally, we illustrate the flexibility of the distribution by the consideration of two real datasets. View Full-Text
Keywords: modified beta generator; gompertz distribution; maximum likelihood estimation modified beta generator; gompertz distribution; maximum likelihood estimation
Show Figures

Figure 1

MDPI and ACS Style

Elbatal, I.; Jamal, F.; Chesneau, C.; Elgarhy, M.; Alrajhi, S. The Modified Beta Gompertz Distribution: Theory and Applications. Mathematics 2019, 7, 3.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop