The bootstrap technology introduced by [1] has wide applications, particularly, in regression analysis. It has been used by researchers to construct empirical distributions for estimates of the regression coefficients. In case of outliers in the data, the classical bootstrap procedure fails to give us fine results even if robust regression estimates are used. In this paper we introduced a new b...

This paper attempts to introduce readers with the concept and methodology of bootstrap in Statist ics, which is placed under a larger umbrella of resampling. Major port ion of the discussions should be accessible to any one who has had a couple of college level applied stat istics courses. Towards the end, we attempt to provide glimpses of the vast l i terature published on the topic, which sho...

Recently, an application of the numerical bootstrap method to quantum mechanics was proposed, and it successfully reproduces eigenstates various systems. However, is unclear why this works. In order understand question, we study in harmonic oscillators. We find that problem reduces Dirac's ladder operator exactly solvable analytically. Our result suggests may be regarded as a version approach e...

The intention of this paper is to analyse the mean square error of prediction (MSEP) under the distribution-free chain ladder (DFCL) claims reserving method. We compare the estimation obtained from the classical bootstrap method with the one obtained from a Bayesian bootstrap. To achieve this in the DFCL model we develop a novel approximate Bayesian computation (ABC) sampling algorithm to obtai...