Bibliographic Details
| Title: |
On the L-consistency of wavelet estimators. |
| Authors: |
Liu, You1 liuym@bjut.edu.cn, Xu, Jun xujunlian83913@163.com |
| Superior Title: |
Acta Mathematica Sinica. Jul2016, Vol. 32 Issue 7, p765-782. 18p. 1 Chart, 2 Graphs. |
| Subject Terms: |
*WAVELETS (Mathematics), *APPROXIMATION theory, *STATISTICAL sampling, *DENSITY functionals, *MONOTONIC functions |
| Abstract: |
This paper deals with the L-consistency of wavelet estimators for a density function based on size-biased random samples. More precisely, we firstly show the L-consistency of wavelet estimators for independent and identically distributed random vectors in R. Then a similar result is obtained for negatively associated samples under the additional assumptions d = 1 and the monotonicity of the weight function. [ABSTRACT FROM AUTHOR] |
|
Copyright of Acta Mathematica Sinica is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Academic Search Premier |