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Non-uniform bounds in normal approximation for matrix correlation statistics and idependent bounded random variables |
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| รหัสดีโอไอ | |
| Title | Non-uniform bounds in normal approximation for matrix correlation statistics and idependent bounded random variables |
| Creator | Nattakarn Chaidee |
| Contributor | Kritsana Neammanee, Chen, Louis H.Y. |
| Publisher | Chulalongkorn University |
| Publication Year | 2548 |
| Keyword | Gaussian distribution, Correlation (Statistics), Random variables |
| Abstract | This thesis contains two main parts. In the first part, let (a[subscript ij]) and (b[subscript ij]) be n x n matrices of real numbers and pi a random permutation of {1, 2, ...,n}. Under a boundedness condition, we establish non-uniform bounds in normal approximation for V and W by using a concentration inequality approach of Stein's method. In the second part, let X1, X2, ..., Xn be independent bounded random variables. We give a non-uniform bound in normal approximation for X1 + X2 +...+Xn by using Stein's method without using the concentration inequality approach. |
| ISBN | 9741736541 |
| URL Website | cuir.car.chula.ac.th |
