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Jílovec, Stanislav
A note on the characterization of consistently estimable functions. (English). Aplikace matematiky, vol. 18 (1973), issue 3, pp. 161-166
MSC: 62E20, 62F10, 62G05 | MR 0323008 | Zbl 0261.62023 | DOI: 10.21136/AM.1973.103466
Summary:
In the paper a necessary and sufficient condition for the existence of consistent estimates constructed on the basis of independent observations is given, boundedness of the estimated function not being assumed.
References:
[1] L. Le Cam, L. Schwartz: A necessary and sufficient condition for the existence of consistent estimates. Ann. Math. Statist. 31 (1960), 140-150. DOI 10.1214/aoms/1177705993 | MR 0142178 | Zbl 0137.37004
[2] S. Jílovec: On the existence of superconsistent estimates. Trans. Fourth Prague Conf. on Information Theory, Statistical Decision Functions, Random Processes (Prague, 1965). Academia, Prague, 1967, 343 - 380. MR 0220384
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