Continuous Random Variables

  • B. Roy Frieden
Part of the Springer Series in Information Sciences book series (SSINF, volume 10)


Until now, all experiments E have had discrete events {A n} as their outputs, as in rolls of a die. On the other hand, everyday experience tells us that continuously random events often occur, as in the waiting time t for a train, or the position x at which a photon strikes the image plane.


Point Spread Function Continuous Random Variable Optical Transfer Function Pupil Function Picket Fence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Chapter 3

  1. 3.1
    E. L. O’Neill: Introduction to Statistical Optics (Addison-Wesley, Reading, MA 1963)Google Scholar
  2. 3.2
    C. Dainty (ed.): Laser Speckle and Related Phenomena, 2nd ed., Topics in Applied Physis, Vol. 9 (Springer, Berlin,-Heidelberg, New York 1982)Google Scholar
  3. 3.3
    G. N. Plass et al.: Appl. Opt. 16,643–653 (1977)ADSCrossRefGoogle Scholar
  4. 3.4
    C. Cox, W. Munk: J. Opt. Soc. Am. 44,838–850 (1954)ADSCrossRefGoogle Scholar
  5. 3.5
    J. W. Goodman: Introduction to Fourier Optics (McGraw-Hill, New York 1968)Google Scholar
  6. 3.6
    B. R. Frieden: J. Opt. Soc. Am. 57,56 (1967)ADSCrossRefGoogle Scholar
  7. 3.7
    S. Q. Duntley: J. Opt. Soc. Am. 53,214–233 (1963)ADSCrossRefGoogle Scholar
  8. 3.8
    D. M. Green, J. A. Swets: Signal Detection Theory and Psychophysics (Wiley, New York 1966)Google Scholar
  9. 3.9
    J. A. Swets (ed.): Signal Detection and Recognition by Human Observers (Wiley, New York 1964)Google Scholar

Additional Reading

  1. Clarke, L. E.: Random Variables (Longman, New York 1975)Google Scholar
  2. Feller, W.: An Introduction to Probability Theory and Its Applications, Vol. II (Wiley, New York 1966)MATHGoogle Scholar
  3. Papoulis, A.: Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York 1965)MATHGoogle Scholar
  4. Pfeiffer, R. E.: Concepts of Probability Theory, 2nd rev. ed. (Dover, New York 1978)MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • B. Roy Frieden
    • 1
  1. 1.Optical Sciences CenterThe University of ArizonaTucsonUSA

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