© 1991

Probability, Statistical Optics, and Data Testing

A Problem Solving Approach


Part of the Springer Series in Information Sciences book series (SSINF, volume 10)

Table of contents

  1. Front Matter
    Pages I-XX
  2. B. Roy Frieden
    Pages 1-6
  3. B. Roy Frieden
    Pages 7-36
  4. B. Roy Frieden
    Pages 37-69
  5. B. Roy Frieden
    Pages 70-98
  6. B. Roy Frieden
    Pages 99-133
  7. B. Roy Frieden
    Pages 134-161
  8. B. Roy Frieden
    Pages 162-176
  9. B. Roy Frieden
    Pages 177-232
  10. B. Roy Frieden
    Pages 264-293
  11. B. Roy Frieden
    Pages 294-306
  12. B. Roy Frieden
    Pages 307-319
  13. B. Roy Frieden
    Pages 320-326
  14. B. Roy Frieden
    Pages 350-361
  15. B. Roy Frieden
    Pages 374-408
  16. Back Matter
    Pages 409-443

About this book


This new edition incorporates corrections of all known typographical errors in the first edition, as well as some more substantive changes. Chief among the latter is the addition of Chap. 17, on methods of estimation. As with the rest of the text, most applications and examples cited in the new chapter are from the optical perspective. The intention behind this new chapter is to empower the optical researcher with a yet broader range of research tools. Certainly a basic knowledge of estimation methods should be among these. In particular, the sections on likelihood theory and Fisher information prepare readers for the problems of optical parameter estimation and probability law estimation. Physicists and optical scientists might find this material particularly useful, since the subject of Fisher information is generally not covered in standard physical science curricula. Since the words "statistical optics" are prominent in the title of this book, their meaning needs to be clarified. There is a general tendency to overly emphasize the statistics of photons as the sine qua non of statistical optics. In view is taken, which equally emphasizes the random medium this text a wider that surrounds the photon, be it a photographic emulsion, the turbulent atmo­ sphere, a vibrating lens holder, etc. Also included are random interpretations of ostensibly deterministic phenomena, such as the Hurter-Driffield (H and D) curve of photography. Such a "random interpretation" sometimes breaks new ground, as in Chap.


Likelihood Mathematical methods in physics Optical information Quantum optics Statistical optics Statistik Wahrscheinlichkeitsrechnung image formation and analysis optics probability theory

Authors and affiliations

  1. 1.Optical Sciences CenterThe University of ArizonaTucsonUSA

Bibliographic information

Industry Sectors
Energy, Utilities & Environment


From the reviews of the third edition:

"Scientists in optics are increasingly confronted with problems that are of a random nature and that require a working knowledge of probability and statistics for their solutions. This textbook develops these subjects within the context of optics using a problem-solving approach. … The book is exclusively wealthy in contents. The author generously shares his reflections and assumptions with the reader and puts the unsolved problems yet, what makes this book an especially interesting one." (Dmitry Ostrouchov, Zentralblatt MATH, Vol. 978, 2002)