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On the Rate of Strong Consistency of the Total Time on Test Statistic


  • Csörgo, Miklós
  • Zitikis, Ricardas


We give a complete description of the rate of strong consistency of the scaled and unscaled total time on test curves, which are fundamental notions in the statistical theory of reliability and life testing. The proof is crucially based on the general Vervaat process.

Suggested Citation

  • Csörgo, Miklós & Zitikis, Ricardas, 1998. "On the Rate of Strong Consistency of the Total Time on Test Statistic," Journal of Multivariate Analysis, Elsevier, vol. 66(1), pages 99-117, July.
  • Handle: RePEc:eee:jmvana:v:66:y:1998:i:1:p:99-117

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    References listed on IDEAS

    1. Rao, C. R., 1995. "Strassen's Law of the Iterated Logarithm for the Lorenz Curves," Journal of Multivariate Analysis, Elsevier, vol. 54(2), pages 239-252, August.
    2. Csörgo, Miklós & Zitikis, Ricardas, 1996. "Strassen's LIL for the Lorenz Curve," Journal of Multivariate Analysis, Elsevier, vol. 59(1), pages 1-12, October.
    3. Csörgö, Miklós & Zitikis, Ricardas, 1997. "On the rate of strong consistency of Lorenz curves," Statistics & Probability Letters, Elsevier, vol. 34(2), pages 113-121, June.
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