Nonlinear wavelet density and hazard rate estimation for censored data under dependent observations

Liang Han-Ying, Mammitzsch Volker and Steinebach Josef

Statistics & Risk Modeling, 2005, vol. 23, issue 3, 161-180

Abstract: In this paper, we discuss the global L2 error of the nonlinear wavelet estimators of the density function in the Besov space Bspq, when the survival times form a stationary α-mixing sequence, and prove that the nonlinear wavelet estimators can achieve the optimal rate of convergence, which is similar to the result of Donoho et al. (1996). Also, the optimal convergence rates of the nonlinear wavelet estimators of the hazard rate function in the Besov space Bspq are considered, which had not been discussed by Donoho et al. (1996) for complete data in the i.i.d. case.

Keywords: nonlinear wavelet estimator; right censoring; density estimator; hazard rate estimator; α-mixing sequence (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:bpj:strimo:v:23:y:2005:i:3/2005:p:161-180:n:1

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DOI: 10.1524/stnd.2005.23.3.161

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