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

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Publication Details

Author list: Rerkruthairat, N.;Thongtha, D.

Publication year: 2016

Journal: Chiang Mai Journal of Science (0125-2526)

Volume number: 43

Issue number: 5

Start page: 1192

End page: 1204

ISSN: 0125-2526

URL: http://it.science.cmu.ac.th/ejournal/journalDetail.php?journal_id=7377

Abstract

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.

Keywords

non uniform bound, normal approximation, orthogonal array sampling design, Stein’s method