|
The Topp-Leone generalized extreme value distribution:Extreme value analysis and return level estimation of the PM2.5in Chiang Mai, Thailand |
|---|---|
| รหัสดีโอไอ | |
| Creator | 1. Sirinapa Aryuyuen 2. Winai Bodhisuwan |
| Title | The Topp-Leone generalized extreme value distribution:Extreme value analysis and return level estimation of the PM2.5in Chiang Mai, Thailand |
| 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. | 6 |
| Page no. | 1450-1461 |
| Keyword | extreme value theory, T-X family of distributions, topp leone-generalized extreme value distribution, PM2.5, return level |
| URL Website | https://sjst.psu.ac.th/ |
| ISSN | 0125-3395 |
| Abstract | In this paper, an extension of the generalized extreme value (GEV) distribution called the Topp Leone-GEV (TL-GEV)distribution is applied. The TL-GEV distribution has four parameters (?, ?, ?, ?), and it has the three named sub-models TLGumbel (for ? = 0), TL-Fr?chet (for ? > 0), and TL-reversed Weibull (for ? < 0). Its properties and maximum likelihoodestimation are discussed. A data set was used to demonstrate the efficiency of the proposed distribution. The TL-GEVdistribution was employed for fitting the data and compared to some selected distributions. The two datasets represented PM2.5data for Chiang Mai Province (Tambon Sri Phum and Tambon Chang Phueak), in Thailand. According to the KolmogorovSmirnov test, Akaike Information Criterion, and Bayesian Information Criterion, the TL-GEV distribution for ? > 0 or TLFr?chet distribution can be considered competitive. The TL-GEV distribution is an alternative flexible way to analyze anyextreme values and to estimate the return level, because the additional parameter ? provides flexibility to the distributionaffecting its skewness and kurtosis. |
