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A reformulation of Pearson's Chi-square statistic and some extentions

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  • Lorenzen, Gunter

Abstract

Based on the concept of a logarithmic mean in two arguments, Pearson's Chi-square statistic is reformulated. Generalizations of the logarithmic mean are discussed, which immediately lead to new families of goodness-of-fit statistics. Thus it is possible to bridge the gap between Pearson's Chi-square statistic and the log-likelihood ratio statistic in a new way.

Suggested Citation

  • Lorenzen, Gunter, 1992. "A reformulation of Pearson's Chi-square statistic and some extentions," Statistics & Probability Letters, Elsevier, vol. 14(4), pages 327-331, July.
    • Handle: RePEc:eee:stapro:v:14:y:1992:i:4:p:327-331
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