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Biometrika 1971 58(3):605-613; doi:10.1093/biomet/58.3.605
© 1971 by Biometrika Trust
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Interval estimation of the ordered means of two normal populations based on hybrid estimators

YUNG LIANG TONG

University of Nebraska

The interval estimation of ordered means of two normal populations based on a statistic which is sometimes the pooled sample mean and sometimes the maximum, or minimum, of the sample means, depending on whether the difference between the two sample means is small or large, when the two sample means have a common known variance is considered. The coverage probability of this procedure is derived and its behaviour is investigated. Comparisons with other procedures are made.

Key Words: Interval estimators of ordered means • Comparison of interval estimators • Pooled estimators


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