The Annals of Statistics
- Ann. Statist.
- Volume 22, Number 2 (1994), 980-994.
Validity of Blockwise Bootstrap for Empirical Processes with Stationary Observations
We show that the empirical process of the block-based bootstrap observations from a stationary sequence converges weakly to an appropriate Gaussian process, conditionally in probability and almost surely, depending upon the block length. This bootstrap was introduced by Kunsch and later by Liu and Singh. Applications in estimation of the sampling distribution of a compactly differentiable functional are indicated.
Ann. Statist., Volume 22, Number 2 (1994), 980-994.
First available in Project Euclid: 11 April 2007
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Naik-Nimbalkar, U. V.; Rajarshi, M. B. Validity of Blockwise Bootstrap for Empirical Processes with Stationary Observations. Ann. Statist. 22 (1994), no. 2, 980--994. doi:10.1214/aos/1176325507. https://projecteuclid.org/euclid.aos/1176325507