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The length-biased power Garima distribution and its applicationto model lifetime data |
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| รหัสดีโอไอ | |
| Creator | 1. Kittipong Klinjan 2. Sirinapa Aryuyuen |
| Title | The length-biased power Garima distribution and its applicationto model lifetime data |
| Publisher | Research and Development Office,Prince of Songkla University |
| Publication Year | 2564 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 43 |
| Journal No. | 3 |
| Page no. | 667-676 |
| Keyword | length biased power Garima distribution, length biased Garima distribution, lifetime data, hazard rate function |
| URL Website | https://rdo.psu.ac.th/sjstweb/ |
| ISSN | 0125-3395 |
| Abstract | In this paper, a new two-parameter distribution namely the length-biased power Garima (LBPG) distribution isproposed. It contains the length-biased Garima (LBG) distribution as a special case. Properties, such as moments, survivalfunction, hazard rate function, and order statistics are included. The parameter estimation of the proposed distribution isillustrated by using the maximum likelihood estimation. Finally, the application study to show the flexibility of the proposeddistribution in modeling six real data sets is illustrated in terms of data fitting when compared among the LBG, power Garima,and Garima distributions. The results presented to show the LBPG distribution fits better than other distributions. Applications tothese practical data sets are given to demonstrate the usefulness of the proposed distribution. |
