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

Gunter Lorenzen

Statistics & Probability Letters, 1992, vol. 14, issue 4, 327-331

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.

Keywords: Goodness-of-fit; test; log-likelihood; ratio; statistic; Pearson's; Chi-square; power-divergence; statistic; logarithmic; mean; extended; mean; value; functions (search for similar items in EconPapers)
Date: 1992
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Citations: View citations in EconPapers (1)

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