Chi-Squared Tests-II

Mikhail Nikulin (1) , Vassily Voinov (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 KIMEP, Almaty, Kazakhstan

The theory of chi-squared tests for parametric families is exposed. Different methods of unknown parameters estimating are compared and some modifications of the Pearson statistic depending on methods of estimation are discussed.

Mots clés: BAN estimator; Chi-squared test; Dzhaparidze-Nikulin statistic; LAN conditions; Method of moments; Maximum likelihood method; Minimum chi-squared estimator; MVUE; Statistic of Pearson; Neyman-Pearson classes for data grouping; Rao-Robson-Nikulin statistic; Rao-Kolmogorov-Blackwell method; Pearson statistic; Power.; Power

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Mikhail Nikulin, Vassily Voinov. Chi-Squared Tests-II. Samual Kotz, N.Balakrishnan, C.Read, B.Vidakovic. Encyclopedia of Statistical Sciences, 16 volume set, 2nd Edition, v.2, John Wiley and Sons: New Jersey, pp.912-921, 2006. ⟨hal-00465799⟩