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Bounds for the efficiency of approximately median unbiased estimates. (English) Zbl 0291.62031

MSC:

62F10 Point estimation
62E20 Asymptotic distribution theory in statistics
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References:

[1] Feller, W.: An introduction to probability theory and its applications. Vol. I, Wiley, New York, 1957. · Zbl 0077.12201
[2] Kelly, J. L.: General topology. Van Nostrand, New York, 1969.
[3] LeCam, L.: One some asymptotic properties of maximum likelihood estimates and relatedBayes’ estimates. Univ. California Publ. Statist.1, 227–330, 1953.
[4] Pfanzagl, J.: On the asymptotic efficiency of median unbiased estimates. Ann. Math. Statist.41, 1500–1509, 1970. · Zbl 0216.21904 · doi:10.1214/aoms/1177696795
[5] –: TheBerry-Esseen bound for minimum contrast estimates. Metrika17, 82–91, 1971a. · Zbl 0216.47805 · doi:10.1007/BF02613813
[6] –: On median unbiased estimates. Metrika18, 154–173, 1971b. · Zbl 0262.62021 · doi:10.1007/BF02614247
[7] –: Further results on asymptotic normality I. Metrika18, 174–198, 1971c. · Zbl 0242.62021 · doi:10.1007/BF02614248
[8] Wolfowitz, J.: Asymptotic efficiency of the maximum likelihood estimator. Theor. Probability Appl.10, 247–260, 1965. · Zbl 0142.15402 · doi:10.1137/1110029
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