On Asymptotically Efficient Statistical Inference on a Signal Parameter

Verfasser / Beitragende:
[M. Ermakov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/2(2015-04-01), 159-170
Format:
Artikel (online)
ID: 605524572
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024 7 0 |a 10.1007/s10958-015-2300-1  |2 doi 
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100 1 |a Ermakov  |D M.  |u Institute of Problems of Mechanical Engineering of RAS, St. Petersburg State University, St. Petersburg, Russia  |4 aut 
245 1 0 |a On Asymptotically Efficient Statistical Inference on a Signal Parameter  |h [Elektronische Daten]  |c [M. Ermakov] 
520 3 |a We consider the problems of confidence estimation and hypotheses testing of the parameter of a signal observed in a Gaussian white noise. For these problems, we point out lower bounds of asymptotic efficiency in the zone of moderate deviation probabilities. These lower bounds are versions of the local asymptotic minimax Hajek-Le Cam lower bound in estimation and the lower bound for the Pitman efficiency in hypotheses testing. The lower bounds are obtained both for logarithmic and sharp asymptotics of moderate deviation probabilities. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/2(2015-04-01), 159-170  |x 1072-3374  |q 206:2<159  |1 2015  |2 206  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Ermakov  |D M.  |u Institute of Problems of Mechanical Engineering of RAS, St. Petersburg State University, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/2(2015-04-01), 159-170  |x 1072-3374  |q 206:2<159  |1 2015  |2 206  |o 10958