BACKGROUND The clinical benefit of guaiac fecal occult blood tests (FOBT) is now well established for colorectal cancer screening. Growing evidence has demonstrated that epigenetic modifications and fecal microbiota changes, also known as dysbiosis, are associated with CRC pathogenesis and might be used as surrogate markers of CRC. PATIENTS AND METHODS We performed a cross-sectional study tha...

Motivated by applications to goodness of fit U-statistic testing, the jackknife empirical likelihood (Jing, et al. [14]) is justified with an alternative approach and the Wilks theorems for vector U-statistics are proved. This generalizes Owen’s empirical likelihood for vectors to vector U statistics and includes the JEL for U-statistics with side information as a special case. The results are ...

The multivariate nonlinear Granger causality developed by Bai et al. (2010) (Mathematics and Computers in simulation. 2010; 81: 5-17) plays an important role in detecting the dynamic interrelationships between two groups of variables. Following the idea of Hiemstra-Jones (HJ) test proposed by Hiemstra and Jones (1994) (Journal of Finance. 1994; 49(5): 1639-1664), they attempt to establish a cen...

We consider the problem of comparing sojourn time distributions of a transient state in a general multistate system in two samples (groups) when the transition times are right censored. Using the reweighting principle, a two-sample Mann– Whitney type of U -statistic is constructed that compares only the uncensored sojourn times from the two distributions. A second Mann–Whitney type of statistic...

We consider the empirical two-sample U-statistic with $$\beta$$ -mixing strictly stationary data and investigate its convergence in Skorohod spaces. then provide an application of such convergence.

In this paper, we study the hypothesis test for regression coefficients of partially linear models when number covariates in part diverges. We propose a U-type statistic. Asy...

We derive a consistency result, in the L 1 -sense, for incomplete U-statistics non-standard case where kernel at hand has infinite second-order moments. Assuming that finite moments of order p ( ≥ ) , we obtain bound on distance between U-statistic and its Dirac weak limit, which allows us to obtain, any fixed an upper rate. Our results hold most classical sampling schemes are used U-statistics.

Abstract: We consider a test for the hypothesis that the within-treatment variance component in a one-way random effects model is null. This test is based on a decomposition of a U -statistic. Its asymptotic null distribution is derived under the mild regularity condition that the second moment of the random effects and the fourth moment of the within-treatment errors are finite. Under the addi...