Open Access
2012 Adaptive density estimation in the pile-up model involving measurement errors
Fabienne Comte, Tabea Rebafka
Electron. J. Statist. 6: 2002-2037 (2012). DOI: 10.1214/12-EJS737


Motivated by fluorescence lifetime measurements, this paper considers the problem of nonparametric density estimation in the pile-up model, where observations suffer also from measurement errors. In the pile-up model, an observation is defined as the minimum of a random number of i.i.d. variables following the target distribution. Adaptive nonparametric estimators are proposed for this pile-up model with measurement errors. Furthermore, oracle type risk bounds for the mean integrated squared error (MISE) are provided. Finally, the estimation method is assessed by a simulation study and the application to real fluorescence lifetime data.


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Fabienne Comte. Tabea Rebafka. "Adaptive density estimation in the pile-up model involving measurement errors." Electron. J. Statist. 6 2002 - 2037, 2012.


Published: 2012
First available in Project Euclid: 2 November 2012

zbMATH: 1295.62037
MathSciNet: MR3020255
Digital Object Identifier: 10.1214/12-EJS737

Primary: 62G07 , 62N01

Keywords: adaptive nonparametric estimation , Biased data , Deconvolution , fluorescence lifetimes , projection estimator

Rights: Copyright © 2012 The Institute of Mathematical Statistics and the Bernoulli Society

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