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On a Confidence Interval for the Mean of an Asymmetric Distribution
Authors:R. Willink
Affiliation:1. Industrial Research Limited , Lower Hutt, New Zealand r.willink@irl.cri.nz
Abstract:A clarification is given of the main result (1.1) in Communications in Statistics: Theory and Methods 34:753–766. The term {1 + 6a(r ? a)}1/3 is to be understood as sgn(1 + 6a(r ? a)) | 1 + 6a(r ? a)|1/3. The result is expressed in a more user-friendly form. An issue is raised regarding the common usage of the expression x 1/n when n is even.
Keywords:Distribution-free  Interval estimation  Location parameter  Nonparametric  Skewness  t-Distribution
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