Confidence intervals for the ratio of two variances

Vesna Cojbasic Rajic; J. Stanojevic

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Confidence intervals for the ratio of two variances

机译：两个方差之比的置信区间

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摘要

In this paper we consider confidence intervals for the ratio of two population variances. We propose a confidence interval for the ratio of two variances based on the t-statistic by deriving its Edgeworth expansion and considering Hall's and Johnson's transformations. Then, we consider the coverage accuracy of suggested intervals and intervals based on the F-statistic for some distribulions.

机译：在本文中，我们考虑两个总体方差之比的置信区间。通过推导其Edgeworth展开并考虑霍尔和约翰逊的变换，我们基于t统计量为两个方差的比率提出了一个置信区间。然后，我们针对某些分布，基于F统计量考虑建议间隔和间隔的覆盖范围准确性。

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来源
《Journal of applied statistics》 |2013年第10期|2181-2187|共7页
作者
Vesna Cojbasic Rajic; J. Stanojevic;
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作者单位

Department for Statistics and Mathematics, Faculty of Economics, University of Belgrade, Kamenicka 6,Belgrade, Serbia;

Department for Statistics and Mathematics, Faculty of Economics, University of Belgrade, Kamenicka 6,Belgrade, Serbia;

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正文语种 eng
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关键词
confidence interval; F-statistic; Edgeworth expansion; ratio of variances; coverage accuracy;

机译：置信区间;F统计量;Edgeworth扩张;方差比;覆盖精度;

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7. Confidence Intervals and Tests for Variance Ratios in Unbalanced Variance Components Models [O] . E. Spjøtvoll, E. Spjotvoll 1968

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8. Confidence Intervals on a Ratio of Variances in the Two-Factor Crossed Components of Variance Model [R] . Graybill, F. A., Arteaga, C. E. 1980

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Confidence intervals for the ratio of two variances

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