Central limit theorems for associated possibly moving partial sums and application to the non-stationary invariance principle

Akim Adekpedjou, Aladji Babacar Niang, Chérif Mamadou Moctar Traoré +1

General Central limit theorem deals with weak limits (in type) of sums of row-elements of array random variables. In some situations as in the invariance principle problem, the sum…