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

DOI10.1016/0167-7152(92)90066-EzbMath0761.62050MaRDI QIDQ1195580

Gunter Lorenzen

Publication date: 14 December 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

log-likelihood ratio statisticpower-divergence statisticextended mean value functionslogarithmic mean in two argumentsnew families of goodness-of-fit statisticsPearson's Chi-square statistic

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Nonparametric inference (62G99)

Related Items (3)

On choosing a goodness‐of‐fit test for discrete multivariate data ⋮ A new family of goodness-of-fit statistics for discrete multivariate data ⋮ A comparison of a new family of goodness-of-fit statistics

Cites Work

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• Goodness-of-fit statistics for discrete multivariate data
• Contributi alla teoria delle medie
• The Power Mean and the Logarithmic Mean
• Generalizations of the Logarithmic Mean
• Log-ratios and the logarithmic mean
• The Logarithmic Mean
• The $\chi^2$ Test of Goodness of Fit

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