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Theory and Method

Remarks on the Distribution of in Sampling from a Normal Mixture, and Normal Type A Distribution

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Pages 998-1003 | Received 01 Oct 1972, Published online: 05 Apr 2012
 

Abstract

The asymptotic method described in an earlier article (Bowman and Shenton [2]) is applied to derive the power of the test of normality against skewed alternatives. In particular, normal mixtures of two components and Type A distributions, each depending on four parameters, are considered. Comparisons of the assessment of percentage points of using Cornish-Fisher expansions based on the normal and Monte Carlo simulations are given.

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