A Nonuniform Bound to an Independent Test in High Dimensional Data Analysis via Stein's Method

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DC Field	Value	Language
dc.contributor.author	Rerkruthairat N.
dc.date.accessioned	2021-04-05T03:04:01Z	-
dc.date.available	2021-04-05T03:04:01Z	-
dc.date.issued	2019
dc.identifier.issn	1687952X
dc.identifier.other	2-s2.0-85062330488
dc.identifier.uri	https://ir.swu.ac.th/jspui/handle/123456789/12542	-
dc.identifier.uri	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85062330488&doi=10.1155%2f2019%2f8641870&partnerID=40&md5=f3ba5fa9956009d04e5798365601ddcb
dc.description.abstract	The Berry-Esseen bound for the random variable based on the sum of squared sample correlation coefficients and used to test the complete independence in high diemensions is shown by Stein's method. Although the Berry-Esseen bound can be applied to all real numbers in R, a nonuniform bound at a real number z usually provides a sharper bound if z is fixed. In this paper, we present the first version of a nonuniform bound on a normal approximation for this random variable with an optimal rate of 1/0.5+z·O1/m by using Stein's method. © 2019 Nahathai Rerkruthairat.
dc.title	A Nonuniform Bound to an Independent Test in High Dimensional Data Analysis via Stein's Method
dc.type	Article
dc.rights.holder	Scopus
dc.identifier.bibliograpycitation	Journal of Probability and Statistics. Vol 2019, (2019)
dc.identifier.doi	10.1155/2019/8641870
Appears in Collections:	Scopus 1983-2021

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