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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 2, Pages 388–394
(Mi tvp3047)
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This article is cited in 22 scientific papers (total in 22 papers)
Short Communications
Infinite-dimensional informational bounds
B. Ya. Levit Moscow
Abstract:
An infinite-dimensional version of the Hajek–Le Cam [1], [2] lower bounds in estimation of the unknown parameter is derived. The result is applied to some classical estimation problems. In particular, lower bounds in estimation of the unknown distribution function are obtained and the asymptotic minimax property of the empiric d. f., stronger than that of [7], is established.
Received: 29.09.1976
Citation:
B. Ya. Levit, “Infinite-dimensional informational bounds”, Teor. Veroyatnost. i Primenen., 23:2 (1978), 388–394; Theory Probab. Appl., 23:2 (1979), 371–377
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https://www.mathnet.ru/eng/tvp3047 https://www.mathnet.ru/eng/tvp/v23/i2/p388
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