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Asymptotic normality in conditional wavelet density with left‐truncated α‐mixing observations
Authors:Si‐Li Niu  Zhan‐Ao Xue
Institution:1. Department of Mathematics, Tongji University, Shanghai 200092, People's Republic of China;2. School of Computer and Information Technology, Henan Normal University, Henan 453007, People's Republic of China
Abstract:In this paper we define a new nonlinear wavelet‐based estimator of conditional density function for a left truncation model. Asymptotic normality of the estimator is established. It is assumed that the lifetime observations form a stationary α‐mixing sequence. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:asymptotic normality  nonlinear wavelet  conditional density  truncated data  α  ‐mixing
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