supported by the National Natural Science Foundation of China(Grant Nos.12101335 and 12271271);the Natural Science Foundation of Tianjin(Grant No.21JCQNJC00020);the Fundamental Research Funds for the Central Universities,Nankai University(Grant Nos.63211088 and 63221050);supported by National Natural Science Foundation of China(Grant No.12101332);supported by Shenzhen Wukong Investment Company,the Fundamental Research Funds for the Central Universities under(Grant No.ZB22000105);the China National Key R&D Program(Grant Nos.2019YFC1908502,2022YFA1003703,2022YFA1003802,2022YFA1003803);the National Natural Science Foundation of China(Grants Nos.12271271,11925106,12231011,11931001 and 11971247)。
This paper establishes the asymptotic independence between the quadratic form z^(T)Az and maximum max1≤i≤p|zi|of a sequence of independent sub-Gaussian random variables z=(z1m…zp)^(T).Based on this theoretical resu...
Supported by the National Natural Science Foundation of China(Grant Nos.11671268 and 12271370);the Guangdong Basic and Applied Basic Research Foundation(Grant No.2020A1515010821);the Fundamental Research Funds for the Central Universities(Grant No.12619624);Supported by the Research Start-up Fund for new young Teachers of Capital University of Economics and Business(Grant No.00592254417068)。
We propose a two-sample test for the mean functions of functional data when the number of bases is much lager than the sample size.The novel test is based on U-statistics which avoids estimating the covariance operato...
supported by National Natural Science Foundation of China(11561006,11861014);Natural Science Foundation of Guangxi(2018GXNSFAA281145);Social Science Foundation Project of Jilin for Doctoral and Youth Support(2019c24).
In functional data analysis,the collected data are often assumed to be fully observed on the domain.However,in dealing with real data(for example,environmental pollution data),we are often faced with the scenario that...
This paper, comparison of two sample tests, is motivated by the fact that in the test of significant difference between two independent samples, numerous methods can be adopted;each may lead to significant different r...
Supported by Young Start-up Funding of Jilin Agricultural University(201229);Key National Risk Assessment Project for the Quality and Safety of Agricultural Products(GJFP2014010)
This paper carries out a questionnaire survey on 30 quality inspection institutions at the level of the Ministry of Agriculture,and based on systematic analysis,analyzes the causes of difficulties in personal submissi...
supported by the National University of Singapore Academic Research Grant (Grant No. R-155-000-085-112)
For several decades, much attention has been paid to the two-sample Behrens-Fisher (BF) problem which tests the equality of the means or mean vectors of two normal populations with unequal variance/covariance structur...
The paper uses rolling sample tests to investigate calendar effect in Chinese stock market, the method is very suitable for emerging market. We utilize GARCH (1,1)- GED model to identify the time varying nature of c...