Volume 33, Issue 4
Local Polynomial Double-Smoothing Estimation of a Conditional Distribution Function with Dependent

Mimi Hong & Xianzhu Xiong

Ann. Appl. Math., 33 (2017), pp. 364-378.

Published online: 2022-06

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  • Abstract

Based on the idea of local polynomial double-smoother, we propose an estimator of a conditional cumulative distribution function with dependent and left-truncated data. It is assumed that the observations form a stationary $α$-mixing sequence. Asymptotic normality of the estimator is established. The finite sample behavior of the estimator is investigated via simulations.

  • AMS Subject Headings

62G05, 62N02

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COPYRIGHT: © Global Science Press

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@Article{AAM-33-364, author = {Hong , Mimi and Xiong , Xianzhu}, title = {Local Polynomial Double-Smoothing Estimation of a Conditional Distribution Function with Dependent}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {4}, pages = {364--378}, abstract = {

Based on the idea of local polynomial double-smoother, we propose an estimator of a conditional cumulative distribution function with dependent and left-truncated data. It is assumed that the observations form a stationary $α$-mixing sequence. Asymptotic normality of the estimator is established. The finite sample behavior of the estimator is investigated via simulations.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20617.html} }
TY - JOUR T1 - Local Polynomial Double-Smoothing Estimation of a Conditional Distribution Function with Dependent AU - Hong , Mimi AU - Xiong , Xianzhu JO - Annals of Applied Mathematics VL - 4 SP - 364 EP - 378 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20617.html KW - local polynomial double-smoother, conditional cumulative distribution function, left-truncated data, $α$-mixing, asymptotic normality. AB -

Based on the idea of local polynomial double-smoother, we propose an estimator of a conditional cumulative distribution function with dependent and left-truncated data. It is assumed that the observations form a stationary $α$-mixing sequence. Asymptotic normality of the estimator is established. The finite sample behavior of the estimator is investigated via simulations.

Hong , Mimi and Xiong , Xianzhu. (2022). Local Polynomial Double-Smoothing Estimation of a Conditional Distribution Function with Dependent. Annals of Applied Mathematics. 33 (4). 364-378. doi:
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