The Equilibrium Renewal Burr XII Distribution: Properties and Applications
Abdulzeid Yen Anafo, Lewis Brew, Suleman Nasiru
Asian Journal of Probability and Statistics · pp. 18–40 · Published 16 Oct 2021
10.9734/ajpas/2021/v15i230349Abstract
In this paper, we propose a three-parameter probability distribution called equilibrium renewal Burr XII distribution using the equilibrium renewal process. The statistical properties of the distribution such as moment, mean deviation, order statistics, moment generating function, Beforroni and Lorenz curve, survival function, reversed hazard rate and hazard function were derived. The method of maximum likelihood is used for estimating the distribution's parameters and a simulation study is conducted to assess the performance of the parameters. We provide two applications in eld of health to demonstrate the importance of the proposed distribution.
Cited by 5
Selasi Kwaku Ocloo, Abdulzeid Yen Anafo, Suleman Nasiru · Scientific African · 2025
Selasi Kwaku Ocloo, Lewis Brew, Suleman Nasiru · International Journal of Mathematics and Mathematical Sciences · 2022
Showing 2 of 5 known citations — external sources report more than can currently be individually listed.
Related research
- Increase in Citrate and KCl Consumption during Morphine Withdrawal Period is Associated with Reduced Levels of Zinc and Brain-derived Neurotrophic Factor, and Poor Neurogenesis in Male Isolated Rats — shares topic coverage
- Comparison of Prolactin Serum Levels between the Remission and Relapse Phases of Multiple Sclerosis and Healthy Individuals — shares topic coverage
- Tobacco Smoking and Medical Co-morbidities among Patients with Bipolar Disorder in a Nigerian Clinical Setting: A Case Control Study — shares topic coverage
- Examining the Impact of Patient-Reported Hope for Improvement and Patient Satisfaction with Clinician/Treatment on the Outcome of Major Depressive Disorder Treatment — shares topic coverage
- Probabilistic and Economical Design of Roof Top Rainwater Harvesting Tank by Simulation Technique — shares topic coverage
Article metrics
Real usage data collected on this platform.
33
Page views
0
PDF downloads
3
Outbound clicks
5
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.