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Rates in the complete convergence of weighted bootstrap means

Author

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  • Sergio Alvarez-Andrade
  • Salim Bouzebda

Abstract

In the present article, we consider the almost sure conditional complete convergence of weighted bootstrap means analogously to that obtained by Csörgő (2003) for the multinomial bootstraps. More precisely, in a similar fashion to Gut and Spătaru’s theorems for ordinary means, precise asymptotic behavior is extended to weighted bootstrap means provided that the bootstrap sample sizes are the integer part of any fixed power of the original sample sizes.

Suggested Citation

  • Sergio Alvarez-Andrade & Salim Bouzebda, 2025. "Rates in the complete convergence of weighted bootstrap means," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(18), pages 5974-5990, September.
    • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:18:p:5974-5990
    DOI: 10.1080/03610926.2024.2449096
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