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The abstract of doctoral dissertation ‘nonlinear wavelet density estimation and hazard rate estimation with data missing at random’

Yuye Zou ,

a School of Economics and Management, Shanghai Maritime University, Shanghai, People's Republic of China;b Key Laboratory of Advanced Theory and Application in Statistics and Data Science – MOE, School of Statistics, East China Normal University, Shanghai, People's Republic of China

zouyuye@shmtu.edu.cn

Guoliang Fan ,

a School of Economics and Management, Shanghai Maritime University, Shanghai, People's Republic of China

Riquan Zhang

b Key Laboratory of Advanced Theory and Application in Statistics and Data Science – MOE, School of Statistics, East China Normal University, Shanghai, People's Republic of China

Pages 117-119 | Received 12 Jun. 2019, Accepted 05 Aug. 2019, Published online: 13 Aug. 2019,
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Abstract

In this thesis, we establish non-linear wavelet density estimators and studying the asymptotic properties of the estimators with data missing at random when covariates are present. The outstanding advantage of non-linear wavelet method is estimating the unsoothed functions, however, the classical kernel estimation cannot do this work. At the same time, we study the larger sample properties of the ISE for hazard rate estimator.