An Edgeworth expansion for the m out of n bootstrapped median.

July, 1998
Report Number: 
529
Authors: 
Steven N. Evans
Citation: 
Electronic Journal of Probability</em>, Vol. 4 (1999) Paper no. 15, pages 1-35
Abstract: 

It is well known Singh (1981) that the bootstrap distribution of the median has the correct limiting distribution. In this note we prove the existence of the next term in the Edgeworth expansion if the bootstrap sample size is m = o(n).

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