Central limit theorem for the kernel estimator of the regression function for censored time series
Zohra Guessoum and
Elias Ould Saïd
Journal of Nonparametric Statistics, 2012, vol. 24, issue 2, 379-397
Abstract:
In this paper, we consider the estimation of the regression function when the interest variable is subject to random censorship and the data satisfy some dependency conditions. We show that the new estimate [defined in Guessoum, Z., and Ould Saïd, E. (2008),‘On Nonparametric Estimation of the Regression Function Under Censorship Model’, Statistics & Decisions, 26, 159–177] suitably normalised is asymptotically normally distributed and the asymptotic variance is given explicitly. An application to confidence bands is given. Some simulations are drawn to lend further support to our theoretical results and to compare finite samples sizes with different rates of censoring and dependence.
Date: 2012
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DOI: 10.1080/10485252.2011.640678
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