A Non Uniform Bound on Normal Approximation of Randomized Orthogonal Array Sampling Designs via Stein’s Method

The randomized orthogonal array sampling design is used in many fileds, such as system testing in computer science and experiment design in statistics, when a group of examples or inputs for testing are needed. In this paper, Stein’s method is used to investigate a non uniform bound on normal ap-pro...

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Bibliographic Details
Main Authors: Nahathai Rerkruthairat, Dawud Thongtha
Format: บทความวารสาร
Language:English
Published: Science Faculty of Chiang Mai University 2019
Online Access:http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=7377
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63812
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Institution: Chiang Mai University
Language: English
Description
Summary:The randomized orthogonal array sampling design is used in many fileds, such as system testing in computer science and experiment design in statistics, when a group of examples or inputs for testing are needed. In this paper, Stein’s method is used to investigate a non uniform bound on normal ap-proximation of the randomized orthogonal array sampling design. Assuming the finiteness of the moment, the rate of this convergence is sharper than the previous results.