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On the laws of large numbers for nonnegative random variables


  • Etemadi, Nasrollah


Strong laws of large numbers concerning nonnegative random variables are obtained and then they are utilized to establish stability results, among other things, for sums of pairwise independent random variables and the range of random walks.

Suggested Citation

  • Etemadi, Nasrollah, 1983. "On the laws of large numbers for nonnegative random variables," Journal of Multivariate Analysis, Elsevier, vol. 13(1), pages 187-193, March.
  • Handle: RePEc:eee:jmvana:v:13:y:1983:i:1:p:187-193

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    Cited by:

    1. Siemroth, Christoph, 2014. "Why prediction markets work : The role of information acquisition and endogenous weighting," Working Papers 14-02, University of Mannheim, Department of Economics.
    2. Chen, Pingyan & Sung, Soo Hak, 2016. "A strong law of large numbers for nonnegative random variables and applications," Statistics & Probability Letters, Elsevier, vol. 118(C), pages 80-86.
    3. Wallsten, Thomas S. & Diederich, Adele, 2001. "Understanding pooled subjective probability estimates," Mathematical Social Sciences, Elsevier, vol. 41(1), pages 1-18, January.
    4. repec:eee:stapro:v:137:y:2018:i:c:p:349-358 is not listed on IDEAS
    5. Stepanov, A., 2011. "Limit theorems for runs based on 'small spacings'," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 54-61, January.
    6. Quang, Nguyen Van & Son, Do The & Son, Le Hong, 2017. "The strong laws of large numbers for positive measurable operators and applications," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 110-120.


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