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Chi-squared approximation for the power divergence family of statisticsстатья Электронная публикация
- Авторы: Zubov V.N., Ulyanov V.V.
- Журнал: Hiroshima Statistical Research Group. Technical Report
- Номер: 08–10
- Год издания: 2008
- Первая страница: 1
- Последняя страница: 50
- Аннотация: In this paper we consider the convergence of the power divergence family of statistics constructed from the multinomial distribution of degree k, to chi-squared distribution with k-1 degrees of freedom. . In the proof we utilize known number theory results on the approximation of the number of integer points in a given set by its volume. Namely, E. Hlawka's theorem (1950) about the number of above-mentioned points in a convex set with a closed smooth boundary. http://www.math.sci.hiroshima-u.ac.jp/stat/TR/index.shtml
- Добавил в систему: Ульянов Владимир Васильевич