the State Key Program of the National Natural Science Foundation of China(No:12031016);the National Natural Science Foundation of China(Nos:11971324,11901406,12201435);the Beijing Postdoctoral Research Foundation(No:2022-ZZ-084);the Interdisciplinary Construction of Bioinformatics and Statistics;the Academy for Multidisciplinary Studies,Capital Normal University。
This paper introduces two local conditional dependence matrices based on Spearman'sρand Kendall'sτgiven the condition that the underlying random variables belong to the intervals determined by their quantiles.The ro...
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 Beijing Natural Science Foundation under Grant No.Z180006;the National Nature Science Foundation of China under Grant No.11722113。
For high-dimensional nonparametric Behrens-Fisher problem in which the data dimension is larger than the sample size,the authors propose two test statistics in which one is U-statistic Rankbased Test(URT)and another i...
Several tests for multivariate mean vector have been proposed in the recent literature.Generally,these tests are directly concerned with the mean vector of a high-dimensional distribution.The paper presents two new te...
supported by Shenzhen Sci-Tech Fund(Grant No.JCYJ 20170307110329106);the Natural Science Foundation of Guangdong Province of China(Grant No.2016A030313856);National Natural Science Foundation of China(Grant Nos.11701034,11601227,11871263 and 11671042);the University Grants Council of Hong Kong。
In this study,we propose nonparametric testing for heteroscedasticity in nonlinear regression models based on pairwise distances between points in a sample.The test statistic can be formulated such that Ustatistic the...
In this thesis,we construct test statistic for association test and independence test in high dimension,respectively,and study the corresponding theoretical properties under some regularity conditions.Meanwhile,we pro...
Quantitative descriptions of geochemical patterns and providing geochemical anomaly map are important in applied geochemistry. Several statistical methodologies are presented in order to identify and separate geochemi...
The past two decades have witnessed the active development of a rich probability theory of Studentized statistics or self-normalized processes, typified by Student’s t-statistic as introduced by W. S. Gosset more tha...
The Parkam exploration district represents an area of approximately 4 km^2 located 50 km north of Shahr-E-Babak(Kerman Province, Iran), and has several traces of old copper mining and smelting activities. This area ...
This paper presents a new class of test procedures for two-sample location problem based on subsample quantiles. The class includes Mann-Whitney test as a special case. The asymptotic normality of the class of tests p...