Kernel regression uniform rate estimation for censored data under $α$-mixing condition

Details Kernel regression uniform rate estimation for censored data under $α$-mixing condition Kernel regression uniform rate estimation for censored data under $α$-mixing condition

2008-02-20

arxiv.org/abs/0802.2800v1

Mathematics

Statistics Theory

Submitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics

Scientific paper

In this paper, we study the behavior of a kernel estimator of the regression
function in the right censored model with $\alpha$-mixing data . The uniform
strong consistency over a real compact set of the estimate is established along
with a rate of convergence. Some simulations are carried out to illustrate the
behavior of the estimate with different examples for finite sample sizes.

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