The Kumaraswamy-Burr Type III Distribution: Properties and Estimation
S. M. Behairy, G. R. AL-Dayian, A. A. EL-Helbawy
Journal of Advances in Mathematics and Computer Science · pp. 1–21 · Published 27 Jan 2016
10.9734/BJMCS/2016/19958Abstract
The Burr Type III distribution attracts special attention in life testing and reliability analysis as it is applied in several areas such as economics and environmetrics among others. A composite distribution of Kumaraswamy and Burr Type III distributions, referred to as Kumaraswamy-Burr Type III distribution, is introduced and studied. It contains some special well-known distributions, which are discussed in lifetime literature, such as the Burr Type III, exponentiated Burr Type III and Kumaraswamy-Burr Type XII, among several others. Some properties of the proposed distribution are studied including explicit expressions for the moments, the density functions of the order statistics, Rényi entropy, quantiles and moment generating function. The method of maximum likelihood is applied under Type II censored samples for estimating the model parameters, reliability and hazard rate functions. For different values of sample sizes, Monte Carlo simulation is performed to investigate the precision of the maximum likelihood estimates.
Cited by 27
Hesham Reyad, F. Jamal, Soha Othman · Asian Research Journal of Mathematics · 2019
Zubair Ahmad, G. Hamedani, Nadeem Shafique Butt · Pakistan Journal of Statistics and Operation Research · 2019
L. Tomy, J. Gillariose · 2018
I. Elbatal, Mohamed Zayed, M. Rasekhi · 2017
A. Hussein · 2017
H. Salem, Abd-Elwahab Hagag · 2017
Kehinde Olobatuyi · 2017
A. E. Gomes, C. da-Silva, G. Cordeiro · 2015
G. Cordeiro, A. E. Gomes, C. da-Silva · 2014
A. El-Saeed, A. Hassan, Neema M. ElHaroun · Journal of Radiation Research and Applied Sciences · 2023
Related research
- The Exponentiated Kumaraswamy-Exponential Distribution — shares topic coverage
- Odd Lomax-Kumaraswamy Distribution: Its Properties and Applications — shares topic coverage
- Kumaraswamy Distribution Based on Alpha Power Transformation Methods — shares topic coverage
- Bayesian Estimation of Entropy for Kumaraswamy Distribution and Its Application to Progressively First-Failure Censored Data — shares topic coverage
- Type II Half Logistic Rayleigh Distribution: Properties and Estimation Based on Censored Samples — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
27
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.