Type II Topp Leone Generalized Inverted Exponential Distribution with Real Data Applications
Zakeia A. Al-Saiary, Sarah H. Al-Jadaani
Asian Journal of Probability and Statistics · pp. 37–51 · Published 10 Feb 2022
10.9734/ajpas/2022/v16i230400Abstract
The generalization of standard and generalized distributions has become one of the concerns that the statistical theory depends on to obtain more exible distributions. In this article, a new distribution that is considered a generalization of the generalized inverted exponential distribution called the Type II Topp Leone Generalized Inverted Exponential (TIITLGIE) distribution is introduced. Some statistical properties of this distribution were obtained. The quantile function, median, moments, moment generating function, Reliability function, hazard function, mode, harmonic mean, mean and median deviation are derived. Furthermore, important measures such Rnyi entropy and the Maximum Likelihood (ML) estimation are deduced for parameters. Conduct a Monte Carlo simulation to study behavior of parameter estimates. Finally, applications on three real data sets are discussed.
Cited by 3
Abdulhameed Ado Osi, Sani Ibrahim Doguwa, Yahaya Abubakar · UMYU Scientifica · 2024
Adebisi Ade Ogunde, Innocent O. Oseghale, Okechukwu Bridget Nwanyibuife · Journal of Modern Applied Statistical Methods · 2023
Showing 2 of 3 known citations — external sources report more than can currently be individually listed.
Related research
- Normality Assessment, a Substantial Appraisal in Medical Studies: A Simulation Study for Power Comparison of Various Types of Normality Tests — shares topic coverage
- New Critical Values for the Winsorized t-Test — shares topic coverage
- DBOLR Test for Testing Autoregressive Conditional Heteroscedasticity and Comparative Study with Two Sided Likelihood Ratio (LR) and Lagrange Multiplier (LM) Tests - A Simulation Approach — shares topic coverage
- QE-Bayesian and E-Bayesian Estimation of the Frechet Model — shares topic coverage
- Performance Evaluation of a Rainwater Harvesting System: A Case Study of University College Hospital, Ibadan City, Nigeria — shares topic coverage
Article metrics
Real usage data collected on this platform.
10
Page views
0
PDF downloads
0
Outbound clicks
3
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
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.