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On Continuity of the Pearson Statistic and Sample Quantiles

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Abstract

Convergence with probability one (in probability) of sequences of the sample quantiles and the Pearson statistic that are formed by columns of N× n arrays of random variables and bivariate random vectors respectively is established, n→ ∞. Two applications for the continuity of the Pearson statistics, when sampling is only possible along a sequence converging to an inaccessible targeting value, are presented

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Authors and Affiliations

  1. Department of Statistics and Operations Research, Faculty of Science, Kuwait University, P.O. Box 5969, Safat, 13060, Kuwait

    R. A. Al-Jarallah, A. R. Soltani & N. A. Al-Kandari

  2. Department of Statistics, College of Science, Shiraz University, Shiraz, 71454, Iran

    A. R. Soltani

Authors
  1. R. A. Al-Jarallah
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  2. A. R. Soltani
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  3. N. A. Al-Kandari
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Correspondence to A. R. Soltani.

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Al-Jarallah, R.A., Soltani, A.R. & Al-Kandari, N.A. On Continuity of the Pearson Statistic and Sample Quantiles. Ann Inst Stat Math 58, 527–535 (2006). https://doi.org/10.1007/s10463-005-0028-2

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  • DOI: https://doi.org/10.1007/s10463-005-0028-2

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