The Topp Leone Generalized Inverted Kumaraswamy Distribution: Properties and Applications
Hesham Reyad, Farrukh Jamal, Soha Othman, Nagla Yahia
Asian Research Journal of Mathematics · pp. 1–15 · Published 4 Apr 2019
10.9734/arjom/2019/v13i330107Abstract
We propose a new four parameters continuous model called the Topp Leone generalized inverted Kumaraswamy distribution which extends the generalized inverted Kumaraswamy distribution. Basic mathematical properties of the new distribution are invstigated such as; quantile function, raw and incomplete moments, generating functions, probability weighted moments, order statistics, Rényi entropy, stochastic ordering and stress strength model. The method of maximum likelihood is used to estimate the model parameters of the new distribution. A Monte Carlo simulation is conducted to examine the behavior of the parameter estimates. The applicability of the new model is demonstrated by means of two real applications.
Cited by 18
R. ZeinEldin, F. Jamal, Christophe Chesneau · Symmetry · 2019
R. ZeinEldin, Christophe Chesneau, F. Jamal · Mathematics · 2019
Sudad K. Abraheem, Amal A. Mohammed, H. J. Kadhim · AIP Conference Proceedings · 2024
A. Hassan, E. Almetwally, Gamal M. Ibrahim · Computers Materials & Continua · 2021
S. Ibrahim, S. Doguwa, A. Isah · 2020
B. Sule, Ibrahim Sule
Maha A. Aldahlan · Journal of Mathematics · 2022
B. Oluyede, M. Gabanakgosi, D. Wanduku · Mathematical Modeling in Bioscience · 2025
Related research
- TL-Moments and LQ-Moments of the Exponentiated Pareto Distribution — shares topic coverage
- Type II Half Logistic Rayleigh Distribution: Properties and Estimation Based on Censored Samples — shares topic coverage
- Exponentiated Transmuted Generalized Inverse Weibull Distribution a Generalization of the Generalized Inverse Weibull Distribution — shares topic coverage
- The Length-Biased Weighted Erlang Distribution — shares topic coverage
- A Study on Properties and Applications of a Lomax Gompertz-Makeham Distribution — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
18
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.