IJAPM 2017 Vol.7(3): 200-208 ISSN: 2010-362X
doi: 10.17706/ijapm.2017.7.3.200-208
doi: 10.17706/ijapm.2017.7.3.200-208
The Consistency of Wavelet Density Estimator with Heteroscedastic Measurement Error
Xiaochen Zeng, Jinru Wang
Abstract—The wavelet deconvolution estimation based on independent and identically distributed data has made a great progress in nonparametric statistics. However, heteroscedastic measurement errors occur in many natural processes. In this current paper, we construct a practical wavelet deconvolution estimator under severely ill-posed noise and show its mean consistency over Lp risk (1≤p<∞).
Index Terms—Consistency, density estimation, severely Ill-posed noise, wavelet.
The authors are with College of Applied Sciences, Beijing University of Technology, Pingle Yuan 100, Beijing, 100124, P. R. China (email: zengxiaochen@emails.bjut.edu.cn).
Index Terms—Consistency, density estimation, severely Ill-posed noise, wavelet.
The authors are with College of Applied Sciences, Beijing University of Technology, Pingle Yuan 100, Beijing, 100124, P. R. China (email: zengxiaochen@emails.bjut.edu.cn).
Cite: Xiaochen Zeng, Jinru Wang, "The Consistency of Wavelet Density Estimator with Heteroscedastic Measurement Error," International Journal of Applied Physics and Mathematics vol. 7, no. 3, pp. 200-208, 2017.
PREVIOUS PAPER
PBW Basis of Non-standard Quantum Groups Xq(An)
General Information
ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: INSPEC(IET), CNKI, Google Scholar, EBSCO, Chemical Abstracts Services (CAS), etc.
E-mail: ijapm@iap.org
-
Dec 27, 2021 News!
IJAPM Vol 9 & Vol 10 have been indexed by Inspec [Click]
-
Jan 04, 2023 News!
The paper published in Vol 13, No 1 has received dois from Crossref
-
Jan 04, 2023 News!
IJAPM Vol 13, No 1 has been published with online version [Click]
-
Jan 04, 2023 News!
All the papers published in Vol 10-Vol 12 have received dois from Crossref
-
Sep 23, 2022 News!
IJAPM Vol 12, No 4 has been published with online version [Click]
- Read more>>