Advertisement

Computational methods of probability and statistics

  • B. R. Frieden
Chapter
Part of the Topics in Applied Physics book series (TAP, volume 41)

Keywords

Characteristic Function Central Limit Theorem Point Spread Function Modulation Transfer Function Atmospheric Turbulence 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 3.1
    A.Papoulis: Probability Random Variables and Stochastic Processes (McGraw-Hill, New York 1965)Google Scholar
  2. 3.2
    A.de Moivre: The Doctrine of Chances, 3rd ed., 1756 (photographically reprinted by Chelsea Publ., New York 1967)Google Scholar
  3. 3.3
    A.Kolmogoroff: Foundations of the Theory of Probability (English transl.) (Chelsea, New York 1933)Google Scholar
  4. 3.4
    G. N. Plass, G. W. Kattawar, J. A. Guinn: Appl. Opt. 16,643 (1977)Google Scholar
  5. 3.5
    C.Cox, W. Monk: J. Opt. Soc. Am. 44,838 (1954)Google Scholar
  6. 3.6
    R.M.Bracewell: The Fourier Transform and Its Application (McGraw-Hill, New York 1965)Google Scholar
  7. 3.7
    R. Barakat: Opt. Acta 21, 903 (1974)Google Scholar
  8. 3.8
    E.L. O'Neil: Introduction to Statistical Optics (Addison-Wesley, Reading, Mass. 1963)Google Scholar
  9. 3.9
    B.Tatian: J. Opt. Soc. Am. 55, 1014 (1965)Google Scholar
  10. 3.10
    G. D. Bergland: IEEE Spectrum 6, 44 (1969)Google Scholar
  11. 3.11
    R.C.Singleton: IEEE Trans. AU 15, 91 (1967)Google Scholar
  12. 3.12
    M. Abramowitz, I. A. Stegun (eds.): Handbook of Mathematical Functions (National Bureau of Standards, Washington, D. C. 1964) pp. 892, 893Google Scholar
  13. 3.13
    A. G. Fox, T. Li: Bell Sys. Tech. J. 40, 453 (1961)Google Scholar
  14. 3.14
    R.W.Lee, J.C.Harp: Proc. IEEE 57, 375 (1969)Google Scholar
  15. 3.15
    B. R. Frieden: “Image enhancement and restoration”, in Picture Processing and Digital Filtering, 2nd ed., ed. by T. S. Huang, Topics in Applied Physics, Vol. 6 (Springer, Berlin, Heidelberg, New York 1979)Google Scholar
  16. 3.16
    R. S. Hershel: Optical Sciences Center, University of Arizona, private communication (1978)Google Scholar
  17. 3.17
    K. Miyamoto: “Wave optics and geometrical optics in optical design”, in Progress in Optics, Vol. 1, ed. by E.Wolf (North Holland, New York 1961)Google Scholar
  18. 3.18a
    G.I. Marchuk, G. A. Mikhailov, M. A. Nazaraliev, R. A. Darbinjan, B. A. Kargin, B. S. Elepov: The Monte Carlo Methods in Atmospheric Optics, Springer Series in Optical Sciences, Vol. 12 (Springer, Berlin, Heidelberg, New York 1980)Google Scholar
  19. 3.18 b
    J.J. DePalma, J.Gasper: Phot. Sci. Eng. 16, 181 (1972)Google Scholar
  20. 3.19
    G.N.Plass, G. W. Kattawar, J. A. Guinn: Appl. Opt. 14, 1924 (1975)Google Scholar
  21. 3.20
    R. E. Hufnagel, N. R. Stanley: J. Opt. Soc. Am. 54, 52 (1964)Google Scholar
  22. 3.21
    R.Barakat: Opt. Acta 18, 683 (1971)Google Scholar
  23. 3.22
    L.I.Goldfischer: J. Opt. Soc. Am. 55, 247–253 (1965)Google Scholar
  24. 3.23
    J.C.Dainty: Opt. Acta 17, 761 (1970)Google Scholar
  25. 3.24
    D.Korff: Opt. Commun. 5, 188 (1972)Google Scholar
  26. 3.25
    J. C. Dainty (ed.): Laser Speckle and Related Phenomena, Topics in Applied Physics, Vol. 9 (Springer, Berlin, Heidelberg, New York 1975)Google Scholar
  27. 3.26
    J. W. Goodman: Proc. IEEE 53, 1688 (1965)Google Scholar
  28. 3.27
    H. Fujii, J. Vozomi, T. Askura: J. Opt. Soc. Am. 66, 1222 (1976)Google Scholar
  29. 3.28
    B. R. Frieden: J. Opt. Soc. Am. 64, 682 (1974)Google Scholar
  30. 3.29
    E.Parzen: Modern Probability Theory and its Applications (Wiley, New York 1960)Google Scholar
  31. 3.30
    E.T.Jaynes: IEEE Trans. SSC 4, 227 (1968)Google Scholar
  32. 3.31
    A.Wragg, D.C.Dowson: IEEE Trans. IT 16,226 (1970)Google Scholar
  33. 3.32
    B. R. Frieden: J. Opt. Soc. Am. 62, 511 (1972)Google Scholar
  34. 3.33
    R. Kikuchi, B. H. Soffer: J. Opt. Soc. Am. 67, 1656 (1977)Google Scholar
  35. 3.34
    K. W. Smillie: An Introduction to Regression and Correlation (Academic Press, New York 1966)Google Scholar
  36. 3.35
    J. L. Simonds: J. Phot. Sci. Eng. 2, 205 (1958)Google Scholar
  37. 3.36
    S.Brandt: Statistical and Computational Methods in Data Analysis (North Holland, Amsterdam 1970)Google Scholar
  38. 3.37
    R.von Mises: Mathematical Theory of Probability and Statistics (Academic Press, New York 1964) p. 407Google Scholar
  39. 3.38
    Student: Biometrika 6, 1 (1908)Google Scholar
  40. 3.39
    C. Stein: Proceedings Third Berkeley Symposium on Mathematics, Statistics, and Probability 1 (University of California Press, Berkeley 1955) p. 197Google Scholar
  41. 3.40
    F. Snedecor: Statistical Methods, 5th ed. (Iowa State Univ. Press, Ames 1962)Google Scholar
  42. 3.41
    P. H. Bartels, J. A. Subach: “Significance probability mapping, and automated interpretation of complex pictorial scenes”, in Digital Processing of Biomedical Images, ed. by K. Preston, M.Onoe (Plenum Press, New York 1976) pp. 101–114 *** DIRECT SUPPORT *** A0024038 00002Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • B. R. Frieden

There are no affiliations available

Personalised recommendations