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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 396, Pages 204–212 (Mi znsl4661)

Estumation of density on indirect observation

V. N. Solev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: In this paper it is investigated the accuracy of the estimating of the unknown density in the $L_1$-space on indirect observation. We suggest a simple nonparametric estimator $\widehat f_n$ for unknown density $f$ and under some appropriate conditions prove the consistency of this estimator.

Key words and phrases: censored data, nonparametric estimator, random partition.

UDC: 519.1+519.2

Received: 23.11.2011


 English version:
Journal of Mathematical Sciences (New York), 2013, 188:6, 753–757

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