Some Uses of Quasi-Ranges

J. T. Chu

doi:10.1214/aoms/1177707044

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Home > Journals > Ann. Math. Statist. > Volume 28 > Issue 1 > Article

March, 1957 Some Uses of Quasi-Ranges

J. T. Chu

Ann. Math. Statist. 28(1): 173-180 (March, 1957). DOI: 10.1214/aoms/1177707044

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Abstract

Confidence intervals for, and tests of hypotheses about, the interquantile distance are obtained, using one or two properly chosen quasi-ranges. Consistency (of the estimates and tests) is proved. Applications are also given to making inferences about the standard deviations of distributions whose cdf's are of the form $F((x - \mu)/\lambda)$.