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Demonstrates the application of isotonic regression in estimating ordered means, highlighting implications for statistical analysis.
Abstract : ;Contents: Isotonic regression; Estimation under order restrictions; Testing the equality of ordered means--likelihood ratio tests in the normal case; Testing the equality of ordered means--extensions and generalizations; Estimation of distributions; Isotonic tests for goodness of fit; Conditional expectation given a sigma-lattice.
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Vincze et al. (1973) studied this question.
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