A simulation study to investigate the accuracy of approximating averages of ratios using ratios of averages

作者：

Highlights：

• The ratio of averages does not differ significantly from the average of ratios.

• Bootstrap confidence intervals for the difference between average of ratios and ratio of averages were constructed.

• The approximation of an average of ratios with a ratio of averages is better in large samples.

• The log–logistic distribution yielded good fits to the ratios of averages and averages of ratios.

摘要

•The ratio of averages does not differ significantly from the average of ratios.•Bootstrap confidence intervals for the difference between average of ratios and ratio of averages were constructed.•The approximation of an average of ratios with a ratio of averages is better in large samples.•The log–logistic distribution yielded good fits to the ratios of averages and averages of ratios.

论文关键词：Averages of ratios,Ratio of averages,Power-law,Citations

论文评审过程：Received 7 June 2013, Revised 22 August 2013, Accepted 29 August 2013, Available online 10 October 2013.

论文官网地址：https://doi.org/10.1016/j.joi.2013.08.008