Stochastic Processes and Random Variables in Function Spaces

  • Denis Bosq
Part of the Lecture Notes in Statistics book series (LNS, volume 149)


This chapter deals with basic facts about probability theory over infinite-dimensional spaces. The underlying topic is the study of random processes considered as random functions.


Hilbert Space Banach Space Function Space Conditional Expectation Covariance Operator 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Denis Bosq
    • 1
  1. 1.Institut de StatistiqueUniversité Pierre et Marie CurieParis Cedex 05France

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