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2010•Communication in Statistics- Theory and MethodsRequires access

A Note on Simultaneous Confidence Intervals for Ratio of Variances

František Rublík

Open publisher page 4 citations

Abstract

An explicit formula for confidence intervals for ratios of variances of several populations is presented. The intervals are based on jackknife statistics and the critical point of the studentized range distribution. The asymptotic probability of coverage is not less than the nominal value provided that the distributions of the sampled populations belong to a location-scale family of probabilities with finite fourth moment.

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An explicit formula for confidence intervals for ratios of variances of several populations is presented. The intervals are based on jackknife statistics and the critical point of the studentized range distribution. The asymptotic probability of coverage is not less than the nominal value provided that the distributions of the sampled populations belong to a location-scale family of probabilities with finite fourth moment.

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Available abstract

An explicit formula for confidence intervals for ratios of variances of several populations is presented. The intervals are based on jackknife statistics and the critical point of the studentized range distribution. The asymptotic probability of coverage is not less than the nominal value provided that the distributions of the sampled populations belong to a location-scale family of probabilities with finite fourth moment.

Key concepts: Studentized range, Jackknife resampling, Mathematics, Confidence interval, Statistics, CDF-based nonparametric confidence interval, Confidence distribution, Coverage probability

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