An Improvement of a Non-uniform Concentration Inequality for Randomized Orthogonal Array Sampling Designs | Zendy

Kittipong Laipaporn | Zendy; Kritsada Sungkamongkol | Zendy

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An Improvement of a Non-uniform Concentration Inequality for Randomized Orthogonal Array Sampling Designs

Author(s) -

Kittipong Laipaporn,

Kritsada Sungkamongkol

Publication year - 2009

Publication title -

journal of mathematics research

Language(s) - English

Resource type - Journals

eISSN - 1916-9809

pISSN - 1916-9795

DOI - 10.5539/jmr.v1n2p78

Subject(s) - mathematics , estimator , simple random sample , simple (philosophy) , orthogonal array , function (biology) , inequality , combinatorics , discrete mathematics , mathematical analysis , statistics , population , philosophy , demography , epistemology , evolutionary biology , taguchi methods , sociology , biology

Let f be an integrable function from R3 to R and μ = )[0,1]3 f (x)dx. A simple estimator of μ is ˆμ = 1 n n *i=1 f ? Xi where X1, X2, ...Xn are independent random vectors and uniformly distributed on [0, 1]3. In 2006, Neammanee and Laipaporn used the orthogonal array to choose the points Xi’s and established a non-uniform concentration inequality. In this article, we improve their result

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