Nonparametric Predictive Inference Bootstrap with Application to Reproducibility of the Two-Sample Kolmogorov–Smirnov Test

Author:

Coolen Frank P. A.,Himd Sulafah Bin

Abstract

AbstractThis paper introduces a new bootstrap method based on the nonparametric predictive inference (NPI) approach to statistics. NPI is a frequentist statistics framework which explicitly focuses on prediction of future observations. The NPI framework enables a bootstrap method (NPI-B) to be introduced which, different to Efron’s classical bootstrap (Ef-B), is aimed at prediction of future observations instead of estimation of population characteristics. A brief initial comparison of NPI-B and Ef-B is presented. The main reason for introducing NPI-B here is for its application to NPI for reproducibility of statistical tests, which is illustrated for the two-sample Kolmogorov–Smirnov test.

Publisher

Springer Science and Business Media LLC

Subject

Statistics and Probability

Reference24 articles.

1. Arts GRJ, Coolen FPA, van der Laan P (2004) Nonparametric predictive inference in statistical process control. Qual Technol Quant Manag 1:201–216

2. Atmanspacher H, Maasen S (eds) (2016) Reproducibility: principles, problems, practices, and prospects. Wiley, Hoboken

3. Augustin T, Coolen FPA (2004) Nonparametric predictive inference and interval probability. J Stat Plan Inference 124:251–272

4. Augustin T, Coolen FPA, de Cooman G, Troffaes MCM (eds) (2014) Introduction to imprecise probabilities. Wiley, Hoboken

5. Banks DL (1988) Histospline smoothing the Bayesian bootstrap. Biometrika 4:673–684

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