Background Image denoising is an important topic in the digital image processing field.This study theoretically investigates the validity of the classical nonlocal mean filter(NLM)for removing Gaussian noise from a no...
Supported by the Russian Science Foundation(Grant No.14-21-00162)
The behavior of the Kozachenko–Leonenko estimates for the(differential) Shannon entropy is studied when the number of i.i.d. vector-valued observations tends to infinity. The asymptotic unbiasedness and L^2-consisten...
supported by the National Natural Science Foundation of China(11471059;51375517;71271226);the China Postdoctoral Science Foundation Funded Project(2014M560712);Chongqing Frontier and Applied Basic Research Project(cstc2014jcyj A00024);the Ministry of Education of Humanities and Social Sciences Youth Foundation(14YJAZH033);the Chongqing Municipal Education Scientific Planning Project(2012-GX-142);the Higher School Teaching Reform Research Project in Chongqing(1202010)
In order to deeply research the structure discrepancy and modeling mechanism among different grey prediction models, the equivalence and unbiasedness of grey prediction models are analyzed and verified. The results sh...
supported by National Science Foundation for Post-doctoral Scientists of China (Grant No.20090450603);National Natural Science Foundation of China (Grant No.10771015)
We define a class of confidence bands for distribution functions,named simple confidence bands.The class of bands includes the common step bands and continuous bands,some of which may perform better than the smoothed ...
Project supported by the National Natural Science Foundation of China (No. 10571093, No. 10371059);Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20050055038);the Natural Science Foundation of Shandong Province of China (No. 2006A13);the China Postdoctoral Science Foundation (No. 20060390169);the Tianjin Planning Programs of Philosophy and Social Science of China (No. TJ05-TJ002).
Quasi-regression, motivated by the problems arising in the computer experiments, focuses mainly on speeding up evaluation. However, its theoretical properties are unexplored systemically. This paper shows that quasi-r...
A DRNN (diagonal recurrent neural network) and its RPE (recurrent prediction error) learning algorithm are proposed in this paper .Using of the simple structure of DRNN can reduce the capacity of calculation. The prin...
The research made by this author was supported in part by the Office of Naval Research grant N000 14-80-C-0163 and a jerzy Neyman Lectureship and was completed while the author was visiting at the Department of Statistics,University of California,Berkele
In this paper we develop tests using L-statistic for a constant relative trendagainst a convex ordered relative trend.Unbiasedness of the test is obtained.For a certainpath of trends,the score function can be chcsen s...