Consistency of wild bootstrap for random variables with values in L p [0;1]
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This paper investigates the consistency of the wild bootstrap for independent identi-
cally distributed random elements in the separable Banach space L p [0;1], p > 2. It is shown that,
conditionally on the original sample, the normalized bootstrap mean converges weakly in probability
to the same limiting distribution as the normalized sample mean. The proof is based on a central
limit theorem for triangular arrays of random elements in L p [0;1].
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