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


Paper Type 
Contributed Paper
Title 
A Non Uniform Bound on Normal Approximation of Randomized Orthogonal Array Sampling Designs via Stein’s Method
Author 
Nahathai Rerkruthairat* [a] and Dawud Thongtha [b,c]
Email 
nahathai@g.swu.ac.th; dawud.tho@kmutt.ac.th
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.
Start & End Page 
1192 - 1204
Received Date 
2015-02-18
Revised Date 
Accepted Date 
2016-06-01
Full Text 
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Keyword 
non uniform bound, normal approximation, orthogonal array sampling design, Stein’s method
Volume 
Vol.43 No.5 (OCTOBER 2016)
DOI 
Citation 
Rerkruthairat N. and Thongtha D., A Non Uniform Bound on Normal Approximation of Randomized Orthogonal Array Sampling Designs via Stein’s Method , Chiang Mai J. Sci., 2016; 43(5): 1192-1204.
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