In this article we develop a test statistic for testing the equality of mean vectors for paired doubly multivariate observations for q response variables and u sites in blocked compound symmetric covariance matrix setting. The new test is implemented with two real data sets.

Variations in complex traits are influenced by multiple genetic variants, environmental risk factors, and their interactions. Though substantial progress has been made in identifying single genetic variants associated with complex traits, detecting the gene-gene and geneenvironment interactions remains a great challenge. When a large number of genetic variants and environmental risk factors are...

With advancements in next-generation sequencing technology, a massive amount of sequencing data is generated, which offers a great opportunity to comprehensively investigate the role of rare variants in the genetic etiology of complex diseases. Nevertheless, the high-dimensional sequencing data poses a great challenge for statistical analysis. The association analyses based on traditional stati...

Talk is based on a paper of the same title in Biometrics 2011; 67:1017-1027. R software and a worked example are at: http://www-stat.wharton.upenn.edu/~rosenbap/software.htm

We derive analytic expressions for the interaction energy between two general U (1) cosmic strings as the function of their relative orientation and the ratio of the coupling constants in the model. The results are relevant to the statistic description of strings away from critical coupling and shed some light on the mechanisms involved in string formation and the evolution of string networks.

For nonparametric regression models with fixed and random design, two classes of estimators for the error variance have been introduced: second sample moments based on residuals from a nonparametric fit, and difference-based estimators. The former are asymptotically optimal but require estimating the regression function; the latter are simple but have larger asymptotic variance. For nonparametr...

An Extreme-Value Approach for Testing the Equality of Large U-Statistic Based Correlation Matrices CHENG ZHOU FANG HAN XIN-SHENG ZHANG1,† HAN LIU3,‡ Department of Statistics, Management School, Fudan University, Shanghai, China. E-mail: [email protected]; †[email protected] Department of Statistics, University of Washington, Seattle, WA 98195, USA. E-mail: [email protected] Department of Op...

Continuing the analysis initiated in Lachièze-Rey and Peccati (2011), we use contraction operators to study the normal approximation of random variables having the form of a U -statistic written on the points in the support of a random Poisson measure. Applications are provided: to subgraph counting, to boolean models and to coverage of random networks.

We prove that Kendall’s Rank correlation matrix converges to the Marčenko Pastur law, under the assumption that observations are i.i.d random vectors X1, . . . , Xn with components that are independent and absolutely continuous with respect to the Lebesgue measure. This is the first result on the empirical spectral distribution of a multivariate U -statistic.