Homogenized integral U-statistics for test of non-linearity

Abstract

The sections of this paper are organized as follows. Tn the first, we review the definitions of the SNT, BDS, CD, CDR and some related statistics, and introduce notation. In the second, we define the process of homogenization alluded to before. In the third, we define homogenized integral U-statistics. In the fourth, we define some particular integrals. In the fifth, we describe the Monte-Carlo experiments and report its results.