Inference on the Ratio of Variances of Two Independent Populations

The asymptotic distribution for the ratio of sample variancesin two independent populations is established. the presentedmethod can be used to derive the asymptotic confidence interval and hypothesistesting for the ratio of population variances. the performanceof the new interval is comparable with similar confidence intervals inthe large sample cases. then the simulation study is provided to compareour confidence interval with f-statistic method. the proposedconfidence set has a good coverage probability witha shorter length.