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Rates in the complete convergence of bootstrap means

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  • Csörgo, Sándor

Abstract

Almost sure conditional complete convergence of bootstrap means is considered with inside and outside rates of the type of Spitzer and of Baum and Katz. As complete analogues of Gut and Spataru's theorems for ordinary means, precise asymptotic behavior is determined for bootstrap sample sizes that are the integer parts of any fixed power of the original sample sizes.

Suggested Citation

  • Csörgo, Sándor, 2003. "Rates in the complete convergence of bootstrap means," Statistics & Probability Letters, Elsevier, vol. 64(4), pages 359-368, October.
    • Handle: RePEc:eee:stapro:v:64:y:2003:i:4:p:359-368
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    Cited by:

    1. Einmahl, J.H.J. & Rosalsky, A., 2004. "General Weak Laws of Large Numbers for Bootstrap Sample Means," Other publications TiSEM 8ccbe78d-31bd-4641-b50b-c, Tilburg University, School of Economics and Management.
    2. Tómács, Tibor, 2005. "Convergence rates in the law of large numbers for arrays of Banach space valued random elements," Statistics & Probability Letters, Elsevier, vol. 72(1), pages 59-69, April.

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