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Computational methods of probability and statistics

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The Computer in Optical Research

Part of the book series: Topics in Applied Physics ((TAP,volume 41))

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References

  1. A.Papoulis: Probability Random Variables and Stochastic Processes (McGraw-Hill, New York 1965)

    Google Scholar 

  2. A.de Moivre: The Doctrine of Chances, 3rd ed., 1756 (photographically reprinted by Chelsea Publ., New York 1967)

    Google Scholar 

  3. A.Kolmogoroff: Foundations of the Theory of Probability (English transl.) (Chelsea, New York 1933)

    Google Scholar 

  4. G. N. Plass, G. W. Kattawar, J. A. Guinn: Appl. Opt. 16,643 (1977)

    Google Scholar 

  5. C.Cox, W. Monk: J. Opt. Soc. Am. 44,838 (1954)

    Google Scholar 

  6. R.M.Bracewell: The Fourier Transform and Its Application (McGraw-Hill, New York 1965)

    Google Scholar 

  7. R. Barakat: Opt. Acta 21, 903 (1974)

    Google Scholar 

  8. E.L. O'Neil: Introduction to Statistical Optics (Addison-Wesley, Reading, Mass. 1963)

    Google Scholar 

  9. B.Tatian: J. Opt. Soc. Am. 55, 1014 (1965)

    Google Scholar 

  10. G. D. Bergland: IEEE Spectrum 6, 44 (1969)

    Google Scholar 

  11. R.C.Singleton: IEEE Trans. AU 15, 91 (1967)

    Google Scholar 

  12. M. Abramowitz, I. A. Stegun (eds.): Handbook of Mathematical Functions (National Bureau of Standards, Washington, D. C. 1964) pp. 892, 893

    Google Scholar 

  13. A. G. Fox, T. Li: Bell Sys. Tech. J. 40, 453 (1961)

    Google Scholar 

  14. R.W.Lee, J.C.Harp: Proc. IEEE 57, 375 (1969)

    Google Scholar 

  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. R. S. Hershel: Optical Sciences Center, University of Arizona, private communication (1978)

    Google Scholar 

  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. 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. J.J. DePalma, J.Gasper: Phot. Sci. Eng. 16, 181 (1972)

    Google Scholar 

  20. G.N.Plass, G. W. Kattawar, J. A. Guinn: Appl. Opt. 14, 1924 (1975)

    Google Scholar 

  21. R. E. Hufnagel, N. R. Stanley: J. Opt. Soc. Am. 54, 52 (1964)

    Google Scholar 

  22. R.Barakat: Opt. Acta 18, 683 (1971)

    Google Scholar 

  23. L.I.Goldfischer: J. Opt. Soc. Am. 55, 247–253 (1965)

    Google Scholar 

  24. J.C.Dainty: Opt. Acta 17, 761 (1970)

    Google Scholar 

  25. D.Korff: Opt. Commun. 5, 188 (1972)

    Google Scholar 

  26. J. C. Dainty (ed.): Laser Speckle and Related Phenomena, Topics in Applied Physics, Vol. 9 (Springer, Berlin, Heidelberg, New York 1975)

    Google Scholar 

  27. J. W. Goodman: Proc. IEEE 53, 1688 (1965)

    Google Scholar 

  28. H. Fujii, J. Vozomi, T. Askura: J. Opt. Soc. Am. 66, 1222 (1976)

    Google Scholar 

  29. B. R. Frieden: J. Opt. Soc. Am. 64, 682 (1974)

    Google Scholar 

  30. E.Parzen: Modern Probability Theory and its Applications (Wiley, New York 1960)

    Google Scholar 

  31. E.T.Jaynes: IEEE Trans. SSC 4, 227 (1968)

    Google Scholar 

  32. A.Wragg, D.C.Dowson: IEEE Trans. IT 16,226 (1970)

    Google Scholar 

  33. B. R. Frieden: J. Opt. Soc. Am. 62, 511 (1972)

    Google Scholar 

  34. R. Kikuchi, B. H. Soffer: J. Opt. Soc. Am. 67, 1656 (1977)

    Google Scholar 

  35. K. W. Smillie: An Introduction to Regression and Correlation (Academic Press, New York 1966)

    Google Scholar 

  36. J. L. Simonds: J. Phot. Sci. Eng. 2, 205 (1958)

    Google Scholar 

  37. S.Brandt: Statistical and Computational Methods in Data Analysis (North Holland, Amsterdam 1970)

    Google Scholar 

  38. R.von Mises: Mathematical Theory of Probability and Statistics (Academic Press, New York 1964) p. 407

    Google Scholar 

  39. Student: Biometrika 6, 1 (1908)

    Google Scholar 

  40. C. Stein: Proceedings Third Berkeley Symposium on Mathematics, Statistics, and Probability 1 (University of California Press, Berkeley 1955) p. 197

    Google Scholar 

  41. F. Snedecor: Statistical Methods, 5th ed. (Iowa State Univ. Press, Ames 1962)

    Google Scholar 

  42. 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 00002

    Google Scholar 

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B. Roy Frieden (PhD)

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© 1980 Springer-Verlag

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Frieden, B.R. (1980). Computational methods of probability and statistics. In: Frieden, B.R. (eds) The Computer in Optical Research. Topics in Applied Physics, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0040184

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  • DOI: https://doi.org/10.1007/BFb0040184

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