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Convergence in probability and allied results

Convergence in probability and allied results

  • A. R. Padmanabhan1 
  • Conference paper
  • First Online: 01 January 2006
  • 884 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 89)

Abstract

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 x m and Ex denote the sets f −1n (−∞,x] and f−1(−∞, x] respectively. The indicator of any set A will be denoted by IA.

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  1. Department of Mathematics, Indiana University, Indiana, USA

    A. R. Padmanabhan

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  1. A. R. Padmanabhan
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    © 1969 Springer-Verlag

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    Padmanabhan, A.R. (1969). Convergence in probability and allied results. In: Behara, M., Krickeberg, K., Wolfowitz, J. (eds) Probability and Information Theory. Lecture Notes in Mathematics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079126

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    • DOI: https://doi.org/10.1007/BFb0079126

    • Published: 20 September 2006

    • Publisher Name: Springer, Berlin, Heidelberg

    • Print ISBN: 978-3-540-04608-0

    • Online ISBN: 978-3-540-36098-8

    • eBook Packages: Springer Book Archive

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