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Rank approach to the multivariate two-population mixture problem

Shoutir Kishore Chatterjee

Journal of Multivariate Analysis, 1972, vol. 2, issue 3, 261-281

Abstract: Given three independent multivariate samples, of which, two are from unknown populations that are known to be distinct and the other is from an unknown mixture of the two, the problem of estimation of the mixture rate is considered. A procedure based on linearly compounded rank-scores is studied and the problem of optimisation with respect to the compounding coefficients so as to minimize the asymptotic variance of the estimate is solved.

Keywords: Multivariate; two-population; mixture; mixture; rate; rank-scores; linear; rank-score; estimate; optimised; linear; rank; score; estimate; asymptotic; variance (search for similar items in EconPapers)
Date: 1972
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