INFERENCES ON THE COEFFICIENT OF VARIATION OF AN INVERSE GAUSSIAN DISTRIBUTION

被引:12
|
作者
HSIEH, HK
机构
[1] Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA
关键词
Bayes H.P.D. interval; bounds; coefficient of variation; confidence; kurtosis; Likelihood ratio test; power function; skewness;
D O I
10.1080/03610929008830279
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The likelihood ratio test for a characteristic parameter of the inverse Gaussian distribution is derived. The parameter of interest characterizes the coefficient of variation, the skewness and the kurtosis of the distribution. The distribution of the test statistic is presented in a simplified form. Useful quantiles of the distribution are given. Methods for constructing confidence bounds for the pararameter, including Bayes highest posterior density intervals, are considered. © 1990, Taylor & Francis Group, LLC. All rights reserved.
引用
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页码:1589 / 1605
页数:17
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