Assessing and comparing the accuracy of various bootstrap methods

ABSTRACT

We evaluate the performance of various bootstrap methods for constructing confidence intervals for mean and median of several common distributions. Using Monte Carlo simulation, we assessed performance by looking at coverage percentages and average confidence interval lengths. Poor performance is characterized by coverage deviating from 0.95 and large confidence interval lengths. Undercoverage is of greater concern than overcoverage. We also assess the performance of bootstrap methods in estimating the parameters of the Cox Proportional Hazard model and Accelerated Failure Time model.

KEYWORDS:

• Accelerated failure time model
• Bootstrap
• Cox regression model

Acknowledgments

This work was funded by the National Science Foundation grant CCF-1559855.