Random Variables, Elements,and Measurable Maps

  • Sidney I. Resnick
Part of the Modern Birkhäuser Classics book series (MBC)


In this chapter, we will precisely define a random variable. A random variable is a real valued function with domain Ω which has an extra property called measurability that allows us to make probability statements about the random variables.


Random Vector Measurable Space Inverse Image Random Element Stochastic Point Process 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Sidney I. Resnick
    • 1
  1. 1.School of Operations Research and Information EngineeringCornell UniversityIthacaUSA

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