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General Weak Laws of Large Numbers for Bootstrap Sample Means


Author Info

  • Einmahl, J.H.J.
  • Rosalsky, A.

    (Tilburg University, Center for Economic Research)


AMS classifications: 60F05, 62G09; 62G20.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2004-112.

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Date of creation: 2004
Date of revision:
Handle: RePEc:dgr:kubcen:2004112

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Keywords: Bootstrap sample mean; weak law of large numbers; convergence in probability; almost certain convergence;

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  1. Arenal-Gutiérrez, Eusebio & Matrán, Carlos & Cuesta-Albertos, Juan A., 1996. "On the unconditional strong law of large numbers for the bootstrap mean," Statistics & Probability Letters, Elsevier, vol. 27(1), pages 49-60, March.
  2. de Jong, Robert M. & Gordon, C.R. Kemp & John, Xu Zheng, 1996. "A Strong Law of Large Numbers," Econometric Theory, Cambridge University Press, vol. 12(01), pages 210-214, March.
  3. Arenal-Gutiérrez, Eusebio & Matrán, Carlos & Cuesta-Albertos, Juan A., 1996. "Unconditional Glivenko-Cantelli-type theorems and weak laws of large numbers for bootstrap," Statistics & Probability Letters, Elsevier, vol. 26(4), pages 365-375, March.
  4. Csörgo, Sándor, 1992. "On the law of large numbers for the bootstrap mean," Statistics & Probability Letters, Elsevier, vol. 14(1), pages 1-7, May.
  5. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
  6. Csörgo, Sándor, 2003. "Rates in the complete convergence of bootstrap means," Statistics & Probability Letters, Elsevier, vol. 64(4), pages 359-368, October.
  7. Athreya, K. B., 1983. "Strong law for the bootstrap," Statistics & Probability Letters, Elsevier, vol. 1(3), pages 147-150, March.
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