期刊
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
卷 47, 期 9, 页码 2195-2212出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/03610926.2017.1337143
关键词
Asymptotic normality; Kernel mode estimation; Patilea-Rolin estimator; Rate of convergence; Strong uniform consistency; Twice censoring
In this article, we study the asymptotic properties of the kernel estimator of the mode and density function when the data are twice censored. More specifically, we first establish a strong uniform consistency over a compact set with a rate of the kernel density estimator and then we give the consistency with rate and asymptotic normality for the kernel mode estimator. An application to confidence bands is given.
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