Wavelet density estimation for negatively associated stratified size-biased sample

2014 ◽  
Vol 26 (3) ◽  
pp. 537-554 ◽  
Author(s):  
Youming Liu ◽  
Junlian Xu
Keyword(s):  
Density Estimation ◽  
Negatively Associated ◽  
Wavelet Density Estimation

scholarly journals Pointwise Optimality of Wavelet Density Estimation for Negatively Associated Biased Sample

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 176 ◽  
Author(s):  
Renyu Ye ◽  
Xinsheng Liu ◽  
Yuncai Yu
Keyword(s):  
Density Estimation ◽  
Mean Squared Error ◽  
Density Estimator ◽  
Wavelet Method ◽  
Wavelet Estimator ◽  
Negatively Associated ◽  
Squared Error ◽  
Wavelet Density Estimation ◽  
The Mean ◽  
Block Thresholding

This paper focuses on the density estimation problem that occurs when the sample is negatively associated and biased. We constructed a block thresholding wavelet estimator to recover the density function from the negatively associated biased sample. The pointwise optimality of this wavelet density estimation is shown as L p ( 1 ≤ p < ∞ ) risks over Besov space. To validate the effectiveness of the block thresholding wavelet method, we provide some examples and implement the numerical simulations. The results indicate that our block thresholding wavelet density estimator is superior in terms of the mean squared error (MSE) when comparing with the nonlinear wavelet density estimator.

Wavelet density estimation for weighted data

2014 ◽  
Vol 146 ◽  
pp. 1-19 ◽  
Author(s):  
Luisa Cutillo ◽  
Italia De Feis ◽  
Christina Nikolaidou ◽  
Theofanis Sapatinas
Keyword(s):  
Density Estimation ◽  
Wavelet Density Estimation ◽  
Weighted Data

Nonlinear wavelet density estimation with data missing at random when covariates are present

Metrika ◽  
2015 ◽  
Vol 78 (8) ◽  
pp. 967-995 ◽  
Author(s):  
Yu-Ye Zou ◽  
Han-Ying Liang ◽  
Jing-Jing Zhang
Keyword(s):  
Density Estimation ◽  
Missing At Random ◽  
Wavelet Density Estimation ◽  
Data Missing
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