Asymptotic properties of the kernel estimator of the conditional mode for the left truncated model

Asymptotic properties of the kernel estimator of the conditional mode for the left truncated model
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DOI:
10.1016/j.crma.2007.03.023
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发表时间:
2007-05
影响因子:
0.8
通讯作者:
Elias Ould-Saïd;Abdelkader Tatachak
Elias Ould-Saïd;Abdelkader Tatachak
中科院分区:
数学4区
文献类型:
--
作者:
Elias Ould-Saïd;Abdelkader Tatachak

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在这篇注记中,我们提出了当感兴趣的变量服从随机左截断时,条件模式函数的一个非参数核估计。我们建立了估计的强一致相合性及其渐近正态的速度。引用本文:E.Ould-Said,A.Tatachak,CR Acad。SCI。巴黎,爵士。I 344(2007)。
In this Note we propose a non-parametric kernel estimator of the conditional mode function, when the variable of interest is subject to random left-truncation. We establish the rate of the strong uniform consistency of the estimate as well as its asymptotic normality. To cite this article: E. Ould-Saïd, A. Tatachak, CR Acad. Sci. Paris, Ser. I 344 (2007).