On Klotz's result on the asymptotic efficiency for the signed rank tests
Applications of Mathematics, Tome 21 (1976) no. 4, pp. 290-295
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A formula for the Bahadur efficiency of the signed rank test symmetry is derived. This is a special case of the author's previous result, but in the present paper the proof is based on a different simpler method suitable for the class of simple rank statistics. The assumptions are more general than in Klotz's paper in Ann. Math. Statist. 36 (1965).
A formula for the Bahadur efficiency of the signed rank test symmetry is derived. This is a special case of the author's previous result, but in the present paper the proof is based on a different simpler method suitable for the class of simple rank statistics. The assumptions are more general than in Klotz's paper in Ann. Math. Statist. 36 (1965).
DOI : 10.21136/AM.1976.103648
Classification : 60G20, 62G10
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Ho, Nguyen Van. On Klotz's result on the asymptotic efficiency for the signed rank tests. Applications of Mathematics, Tome 21 (1976) no. 4, pp. 290-295. doi: 10.21136/AM.1976.103648

[1] R. R. Bahadur: Rates of convergence of estimates and test statistics. Ann. Math. Statist. 38 (1967), 303-324. | DOI | MR | Zbl

[2] W. Feller: Generalization of a probability limit theorem of Cramér. Trans. Amer. Math. Soc. 54 (1943), 361-372. | MR | Zbl

[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. | MR

[4] J. Klotz: Alternative efficiencies for signed rank tests. Ann. Math. Statist. 36 (1965), 1759 to 1766. | DOI | MR | Zbl

[5] И. П. Натансон: Теория функций вещественной переменной. Москва 1950. | Zbl

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