Let ppp be a positive integer and let W=∑i∈IXiW=\sum_{i\in I}X_iW=∑i∈IXi, where EXi=0{\mathbb{E}}X_i=0EXi=0, EW2=1{\mathbb{E}}W^2=1EW2=1, and the variables satisfy (LD1)--(LD(p+1)(p+1)(p+1)): for each i1∈Ii_1\in Ii1∈I,…