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On the strong law for arrays and for the bootstrap mean and variance

Author

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  • Tien-Chung Hu
  • R. L. Taylor

Abstract

Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions. An interesting application of these results is the consistency of the bootstrap mean and variance.

Suggested Citation

  • Tien-Chung Hu & R. L. Taylor, 1997. "On the strong law for arrays and for the bootstrap mean and variance," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-8, January.
  • Handle: RePEc:hin:jijmms:329234
    DOI: 10.1155/S0161171297000483
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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. Do The Son & Duong Xuan Giap & Nguyen Van Quang, 2022. "Chung-Type Strong Laws and Almost Complete Convergence for Arrays of Measurable Operators," Journal of Theoretical Probability, Springer, vol. 35(3), pages 1391-1411, September.

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