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A mixture Weibull-Rayleigh distribution and its application |
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| รหัสดีโอไอ | |
| Creator | 1. Tanachot Chaito 2. Nawapon Nakharutai 3. Sirima Suwan 4. Lampang Saenchan 5. Manad Khamkong |
| Title | A mixture Weibull-Rayleigh distribution and its application |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2565 |
| Journal Title | Songklanakarin Journal of Science an Technology (SJST) |
| Journal Vol. | 44 |
| Journal No. | 4 |
| Page no. | 1131-1144 |
| Keyword | Weibull-Rayleigh distribution, maximum product of spacing estimators, Anderson-Darling minimum distance estimators |
| URL Website | https://rdo.psu.ac.th/sjst/index.php |
| ISSN | 0125-3395 |
| Abstract | In this paper, we introduced a mixture Weibull-Rayleigh (MWR) distribution, which was generated by the twocomponent mixture distribution, i.e., Weibull-Rayleigh and length-biased Weibull-Rayleigh distributions. We studied itsproperties such as the rth moment, the survival function and the sub-model of the MWR distribution. We used the maximumlikelihood estimation, the maximum product of spacing estimators, the Anderson-Darling minimum distance estimators and theCramer-von Mises minimum distance estimators to estimate the parameters of the MWR distribution. Comparing with thelognormal, Weibull-Rayleigh, length-biased Weibull-Rayleigh, mixture generalized gamma and mixture exponentiated invertedWeibull distributions, we present an application of the MWR distribution on fitting hydrological datasets. We found that theMWR distribution provided a better fitting among these distributions. Therefore, we applied the MWR distribution to predict thereturn periods of such data. |
