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Topp-Leone generalized Rayleigh distribution and its applications |
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| รหัสดีโอไอ | |
| Creator | 1. Pimwarat Nanthaprut 2. Mena Patummasut 3. Winai Bodhisuwan |
| Title | Topp-Leone generalized Rayleigh distribution and its applications |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2561 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 40 |
| Journal No. | 5 |
| Page no. | 1186-1202 |
| Keyword | lifetime distribution, Rayleigh distribution, maximum likelihood estimation, Topp-Leone generator |
| URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | A new three-parameter lifetime distribution called the Topp-Leone generalized Rayleigh (TLGR) distribution obtainedby the Topp-Leone generator based on the generalized Rayleigh (GR) distribution is proposed. Some of the proposeddistribution's mathematical properties such as its survival function, hazard function, moments, and moment generating functionare investigated. Furthermore, the expansion of the probability density function is derived in terms of a linear combination of theGR distribution; this function is used to obtain its moments, and the maximum likelihood method is applied to estimate itsparameters. Using real-life datasets, a comparative analysis is carried out to fit them to the TLGR, GR, and Rayleigh distributionsbased on the Anderson-Darling test and the Akaike information and Bayesian information criteria. The results from these datasetsexhibit that the TLGR distribution is more appropriate than the other distributions. |
