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Title: | The Length-Biased Gamma-Rayleigh Distribution with Applications |
Authors: | Tanachot Chaito Pimwarat Nanthaprut Nawapon Nakharutai Manad Khamkong |
Authors: | Tanachot Chaito Pimwarat Nanthaprut Nawapon Nakharutai Manad Khamkong |
Keywords: | Mathematics |
Issue Date: | 1-Apr-2022 |
Abstract: | In this study, we introduce a new class of length-biased distribution called the length-biased Gamma-Rayleigh (LBGR) distribution. Various mathematical properties, including its limit th behavior, the r moment, the moment generating function, the survival function, and the hazard ratio function, are derived. Maximum-likelihood estimation is used to estimate the parameters of the LBGR distribution. Three environmental datasets were used in a comparison of distributions to determine which one could best fit the data. The results indicate that the LBGR distribution provided a better fit than the Rayleigh, lognormal, gamma, and gamma-Rayleigh distributions. |
URI: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85127764531&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/73042 |
ISSN: | 23510676 16859057 |
Appears in Collections: | CMUL: Journal Articles |
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