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On kernel density and mode estimates for associated and censored data

Yacine Ferrani, Elias Ould Saïd and Abdelkader Tatachak

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 7, 1853-1862

Abstract: Let {Ti, i ⩾ 1} be a strictly stationary sequence of associated random variables distributed as T. This paper aims to establish strong uniform consistency over a compact set with a rate of a kernel estimator of the underlying density function f when the random variable of interest T is right-censored by another variable C. As a consequence, the almost sure convergence of a new smooth kernel mode estimator θ^n$\hat{\theta }_n$ of the true mode θ of f with rate is stated.

Date: 2016
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DOI: 10.1080/03610926.2013.867996

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