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Kullback-Leibler life time testing
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DOI：10.1016/j.amc.2014.04.027.png)
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The paper deals with testing the hypotheses for homogeneity and point null value of the scale parameter in the gamma family. Tests suggested here are based upon the Kullback-Leibler divergence from an observed vector to the canonical parameter (see Pazman, 1993 [14]), and upon its decomposition. The latter is used to derive the exact distribution of the test statistic by convolution. A geometric integration method is used alternatively to derive the distribution directly. Because it is observed by simulation, that the test's performance is poor when the shape parameter is estimated from the data, an interval method is developed and its use is demonstrated in an analysis of real data. (C) 2014 Elsevier Inc. All rights reserved.
Keyword:
Information divergence
Deconvolution
Homogeneity and scale testing
Exact distribution
Lambert W
Intersection percentage function
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3.4
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2.3W
被引数:
3.3W
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