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.