Double Bootstrap-t One-sided Confidence Interval for Population Variance of Skewed Distributions

  • Wararit Panichkitkosolkul Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Phathumthani, Thailand
Keywords: Double Bootstrap-t, Confidence Interval, Variance, Skewed Distribution

Abstract

This paper proposes a double bootstrap-t one-sided confidence interval for population variance of skewed distributions. The upper endpoint and lower endpoint confidence intervals are studied. The one-sided confidence intervals based on the chi-square statistic, bootstrap-t method and double bootstrap-t method are compared via Monte Carlo simulations. The simulation results indicated that the coverage probabilities of bootstrap-t confidence interval can be increased by using double bootstrap resampling. The upper endpoint confidence interval using double bootstrap-t method predominates the other methods with respect to the coverage probability criteria. The performance of the proposed one-sided confidence interval is illustrated with an empirical example.

Key Words: Double bootstrap-t, Confidence interval, Variance, Skewed distribution

Published
2013-06-30
Section
Research Articles