Convergence in probability and allied results
Let (X,S,P) be a probability space, a d f, fn, n=1,2,... real random variables. Let x be any continuity point of f with respect to P., i. e. P(f=x)=0. Let E m x and E x denote the sets f n −1 (−∞,x] and f−1(−∞, x] respectively. The indicator of any set A will be denoted by IA.