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September, 1951 Sequentially Determined Statistically Equivalent Blocks
D. A. S. Fraser
Ann. Math. Statist. 22(3): 372-381 (September, 1951). DOI: 10.1214/aoms/1177729583


In 1943 Wald [2] gave a method for constructing tolerance regions in the multivariate case. Tukey generalized Wald's procedure in [4] and the results were interpreted for discontinuous distributions in [5] and [6]. This paper presents a further generalization of the method so that statistically equivalent blocks can be determined sequentially; the particular function used to cut off a block may depend on the shape or structure of previously selected blocks. The results are also interpreted for the case of discontinuous distributions. Possible advantages of applying the method are discussed.


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D. A. S. Fraser. "Sequentially Determined Statistically Equivalent Blocks." Ann. Math. Statist. 22 (3) 372 - 381, September, 1951.


Published: September, 1951
First available in Project Euclid: 28 April 2007

zbMATH: 0043.34401
MathSciNet: MR43425
Digital Object Identifier: 10.1214/aoms/1177729583

Rights: Copyright © 1951 Institute of Mathematical Statistics

Vol.22 • No. 3 • September, 1951
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