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Improvement of the constant in the non-uniform version of the berry-esseen theorem |
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| รหัสดีโอไอ | |
| Title | Improvement of the constant in the non-uniform version of the berry-esseen theorem |
| Creator | Pongsachart Thongtha |
| Contributor | Kritsana Neammanee |
| Publisher | Chulalongkorn University |
| Publication Year | 2549 |
| Keyword | Berry–Esseen theorem, Mathematical statistics, Sampling (statistics), Distribution (Probability theory) |
| Abstract | We improve the constant in non-uniform version of the Berry-Esseen theorem by using two methods, namely, Stein’s method using the concentration inequality and the method obtained from the Paditz-Siganov theorem, on which the random variables are not necessarily identically distributed and the existence of the absolute third moment is not required. By these two methods, the former yields a better constant recorded, while the latter gives an even letter constant. |
| URL Website | cuir.car.chula.ac.th |
