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ASYMPTOTIC NORMALITY OF THE NONPARAMETRIC KERNEL ESTIMATION OF THE CONDITIONAL HAZARD FUNCTION FOR LEFT-TRUNCATED AND DEPENDENT DATA
Meijuan Ou,Xianzhu Xiong,Yi Wang
(College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China)
DOI:
Abstract:
Under some mild conditions, we derive the asymptotic normality of the Nadaraya-Watson and local linear estimators of the conditional hazard function for left-truncated and dependent data. The estimators were proposed by Liang and Ould-Sa\"{i}d (2018). The results confirm the guess in Liang and Ould-Sa\"{i}d (2018).
Key words:  asymptotic normality; Nadaraya-Watson estimation; local linear estimation; conditional hazard function; left-truncated data