Efficiencies of Chi-Square and Likelihood Ratio Goodness-of-Fit Tests

The classical problem of choice of number of classes in testing goodness of fit is considered for a class of alternatives, for the chi-square and likelihood ratio statistics. Pitman and Bahadur efficiencies are used to compare the two statistics and also to analyse the effect for each statistic of c...

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Veröffentlicht in:	The Annals of statistics 1985-06, Vol.13 (2), p.727-742
Hauptverfasser:	Quine, M. P., Robinson, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	60F05 60F10 62G20 Bahadur efficiency central limit theorem chi-square Continuous functions Exact sciences and technology goodness-of-fit large deviations likelihood ratio Mathematical theorems Mathematics Nonparametric inference Pitman efficiency Probability and statistics Ratio test Sciences and techniques of general use Statistical theories Statistical variance Statistics
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