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.


Entropy Attenuation Covariance Coherence Autocorrelation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations