Nonparametric confidence intervals for population variance of one sample and the difference of variances of two samples |
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Authors: | Vesna Cojbasic |
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Affiliation: | a Faculty of Economics, University of Belgrade, 11 000 Belgrade, Serbia and Montenegro b Friedrich Miescher Institute for Biomedical Research, Novartis Research Foundation, CH-4058 Basel, Switzerland |
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Abstract: | Confidence intervals for the population variance and the difference in variances of two populations based on the ordinary t-statistics combined with the bootstrap method are suggested. Theoretical and practical aspects of the suggested techniques are presented, as well as their comparison with existing methods (methods based on Chi-square statistics and F-statistics). In addition, application of presented methods in domain of insurance property data set is described and analyzed. For data from exponential distribution confidence intervals, which are calculated using described methods (based on transformation of the t-statistics and bootstrap technique), give consistent and best coverage in comparison with other methods. |
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Keywords: | Bootstrap Edgeworth expansion Confidence interval Skewness Confidence interval for difference in variances |
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