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On Klotz’s result on the asymptotic efficiency for the signed rank tests. (English) Zbl 0351.62027

MSC:

62G10 Nonparametric hypothesis testing
62G20 Asymptotic properties of nonparametric inference
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References:

[1] R. R. Bahadur: Rates of convergence of estimates and test statistics. Ann. Math. Statist. 38 (1967), 303-324. · Zbl 0201.52106
[2] W. Feller: Generalization of a probability limit theorem of Cramér. Trans. Amer. Math. Soc. 54 (1943), 361-372. · Zbl 0063.01342
[3] Nguyen-van-Ho: Asymptotic efficiency in the Bahadur sense for the signed rank tests. Proceedings of the Prague symposium on asymptotic statistics, September 1973, vol. II, 127- 156.
[4] J. Klotz: Alternative efficiencies for signed rank tests. Ann. Math. Statist. 36 (1965), 1759 to 1766. · Zbl 0151.23604
[5] И. П. Натансон: Теория функций вещественной переменной. Москва 1950. · Zbl 1157.76305
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