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Uniform Strong Law of Large Numbers

Author

Listed:
  • V. Yu. Bogdanskii

    (National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”)

  • O. I. Klesov

    (National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”)

  • I. Molchanov

    (University of Bern)

Abstract

We prove the strong law of large numbers for random signed measures. The result is uniform over a family of subsets under mild assumptions.

Suggested Citation

  • V. Yu. Bogdanskii & O. I. Klesov & I. Molchanov, 2021. "Uniform Strong Law of Large Numbers," Methodology and Computing in Applied Probability, Springer, vol. 23(2), pages 461-470, June.
    • Handle: RePEc:spr:metcap:v:23:y:2021:i:2:d:10.1007_s11009-019-09711-x
    DOI: 10.1007/s11009-019-09711-x
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    References listed on IDEAS

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    1. Mohamed Machkouri, 2007. "Nonparametric Regression Estimation for Random Fields in a Fixed-Design," Statistical Inference for Stochastic Processes, Springer, vol. 10(1), pages 29-47, January.
    2. Müller, Hans-Georg & Song, Kai-Sheng, 1996. "A set-indexed process in a two-region image," Stochastic Processes and their Applications, Elsevier, vol. 62(1), pages 87-101, March.
    3. Skovoroda, Boris & Mikosch, Thomas, 1992. "A strong law of large numbers for ruled sums," Statistics & Probability Letters, Elsevier, vol. 13(2), pages 129-137, January.
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