A New Type of Generalization on WAsymptotically J Statistical Equivalence with the Number of

In our paper, by using the concept of W asymptotically J statistical equivalence of order a which has been previously defined, we present the definitions of W asymptotically Jl statistical equivalence of order a, W strongly asymptotically Jl statistical equivalence of order a, and W strongly Cesaro asymptotically J statistical equivalence of order a where 0 < a 1. We also extend these notions with a sequence of positive real numbers, p = ( pk), and we investigate how our results change if p is constant.