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Activity Number: 375
Type: Topic Contributed
Date/Time: Wednesday, August 1, 2007 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #310331
Title: Testing Hypotheses About the Equality of Several Risk Measure Values with Applications in Insurance
Author(s): Madan Puri*+
Companies: Indiana University
Address: Department of Mathematics, Bloomington, IN, 47405,
Keywords: hypotheses testing ; risk measure ; asymptotic results
Abstract:

The talk explores statistical tests about the equality of risk measure values obtained using a distortion-based risk measure. We consider both the cases in which the risk measure value is specified in the null hypothesis and the case in which it is not. In the former case, one- and two-sided alternatives are considered, and in the latter case, ordered and unordered alternatives are considered. Asymptotically most powerful tests are obtained, and asymptotic distributions of the test statistics are found using results about the asymptotic distributions of the risk measure values.


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