Bounds on normal approximation of Latin hypercube and ortrogonal array samplings
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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
Chulalongkorn University

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