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On a crossroad of resampling plans: bootstrapping elementary symmetric polynomials

2000, Statistica Neerlandica

Abstract

We investigate the validity of the bootstrap method for the elementary random variables X 1 , ... ,Xn. For both fix~d and'incre~sing brder k, as n __, oo the cases where µ = EX 1 f= 0, the nondegenerate case, and where µ = EX 1 = 0, the degenerate case, are considered.