Local Polynomial Double-Smoothing Estimation of a Conditional Distribution Function with Dependent

Local Polynomial Double-Smoothing Estimation of a Conditional Distribution Function with Dependent

Year:    2017

Author:    Mimi Hong, Xianzhu Xiong

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2017-AAM-20617

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 4 : pp. 364–378

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    local polynomial double-smoother conditional cumulative distribution function left-truncated data $α$-mixing asymptotic normality.

Author Details

Mimi Hong

Xianzhu Xiong