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Bounds on normal approximation of Latin hypercube and ortrogonal array samplings |
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| รหัสดีโอไอ | |
| Title | Bounds on normal approximation of Latin hypercube and ortrogonal array samplings |
| Creator | Nahathai Rerkruthairat |
| Contributor | Kritsana Neammanee |
| Publisher | Chulalongkorn University |
| Publication Year | 2553 |
| Keyword | Gaussian distribution, Estimation theory, Uniform bound, Non-Uniform bound |
| Abstract | This thesis consists of three parts. In the first part, a constant on a uniform bound on normal approximation for latin hypercube sampling is obtained assuming the finiteness of absolute third moment. Under the same condition, we derive a constant on a uniform bound on a combinatorial central limit theorem in the second part. The last part contains a proof of a non-uniform bound on normal approximation of randomized orthogonal array sampling designs under the finiteness of sixth moment. |
| URL Website | cuir.car.chula.ac.th |