Convergence in probability and allied results

  • A. R. Padmanabhan
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 89)


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.

Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • A. R. Padmanabhan
    • 1
  1. 1.Department of MathematicsIndiana UniversityUSA

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