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Activity Number: 239
Type: Contributed
Date/Time: Monday, August 5, 2013 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #309487
Title: Estimating Kurtosis and Approximate Confidence Intervals for Variance Components
Author(s): Brent Burch*+
Companies: Northern Arizona Univ
Keywords: Interval estimation ; Kurtosis ; Non-normal distributions ; Variance
Abstract:

Exact confidence intervals for variance components rely on normal distribution assumptions. However, large-sample confidence intervals for variances can be realized if one estimates the kurtosis of the associated distribution. The method used to estimate kurtosis has a direct impact on the performance of the interval and thus the quality of the inferences made in finite-sample size applications. In this presentation the author considers a number of kurtosis estimators and conducts simulation studies to determine the coverage probabilities of the resulting confidence intervals. The coverage probabilities are computed for a variety of sample sizes and distributions.


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