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Wavelet Based Estimation for the Derivative of a Density by Block Thresholding under Random Censorship

Title:

Wavelet Based Estimation for the Derivative of a Density by Block Thresholding under Random Censorship

Shirazi, Esmaeel and Chaubey, Yogendra P. and Doosti, Hassan and Nirumand, Hossein A. (2011) Wavelet Based Estimation for the Derivative of a Density by Block Thresholding under Random Censorship. Journal of Korean Statistical Society, 41 (2). pp. 199-211. ISSN 1226-3192

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Abstract

We consider wavelet based method for estimating derivatives of a density via block thresholding when the data obtained are randomly right censored. The proposed method is analogous to that of Hall and Patil (1995) for density estimation in the complete data case that has been extended recently by Li (2003, 2008). We find bounds for the $L_2$-loss over a large range of Besov function classes for the resulting estimators. The results of Hall and Patil (1995), Prakasa Rao (1996) and Li (2003, 2008) are obtained as special cases and the performance of proposed estimator is investigated by numerical study.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Article
Refereed:Yes
Authors:Shirazi, Esmaeel and Chaubey, Yogendra P. and Doosti, Hassan and Nirumand, Hossein A.
Journal or Publication:Journal of Korean Statistical Society
Date:19 August 2011
Funders:
  • NSERC
Keywords:Adaptive estimation, Block thresholding, Censored data, Nonparametric estimator of derivative of a density, Rates of convergence
ID Code:973711
Deposited By:YOGENDRA CHAUBEY
Deposited On:05 Apr 2012 09:46
Last Modified:05 Apr 2012 09:46
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