Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (4): 439-447.
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(Department of Statistics, Nankai University, Tianjin 300071)
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Abstract:
It is long time to use the discrepancy as criterion to measure uniformity of a design, but its properties isn't enough researched. In this paper, based on shifting method some properties of discrepancy are systematically given, including properties of whole, big cell and small cell shifting. These properties play important roles for constructing designs and samplings.
Key words: Ｃｏｍｐｕｔｅｒｅｘｐｅｒｉｍｅｎｔｓ, Ｄｉｓｃｒｅｐａｎｃｙ, Ｕｎｉｆｏｒｍｄｅｓｉｇｎ, ＯＡｂａｓｅｄＬａｔｉｎｈｙｐｅｒ ｃｕｂｅｓａｍｐｌｉｎｇ, Ｕｎｉｆｏｒｍｄｅｓｉｇｎｓａｍｐｌｉｎｇ, ＯＡｂａｓｅｄｕｎｉｆｏｒｍ ＬＨｓａｍｐｌｉｎｇ．
CLC Number:
Ma Changxing Zhang Runchu. large sample properties of discrepancies[J].Acta mathematica scientia,Series A, 1999, 19(4): 439-447.
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http://121.43.60.238/sxwlxbA/EN/Y1999/V19/I4/439
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