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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).
[1] R. R. Bahadur: Rates of convergence of estimates and test statistics. Ann. Math. Statist. 38 (1967), 303-324. DOI 10.1214/aoms/1177698949 | MR 0207085 | Zbl 0201.52106
[2] W. Feller: Generalization of a probability limit theorem of Cramér. Trans. Amer. Math. Soc. 54 (1943), 361-372. MR 0009262 | 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. MR 0388655
[4] J. Klotz: Alternative efficiencies for signed rank tests. Ann. Math. Statist. 36 (1965), 1759 to 1766. DOI 10.1214/aoms/1177699804 | MR 0185760 | Zbl 0151.23604
[5] И. П. Натансон: Теория функций вещественной переменной. Москва 1950. Zbl 1157.76305
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