Abstract
So far, we have been dealing with problems of predicting properties of data (e.g., their mean) from known probability laws. These are problems of the discipline called “probability theory.”
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References
B. R. Frieden: In Picture Processing and Digital Filtering, 2nd ed., ed. by T. S. Huang, Topics Appl. Phys., Vol. 6 (Springer, Berlin, Heidelberg, New York 1979)
P. G. Hoel: Introduction to Mathematical Statistics (Wiley, New York 1956) pp. 205–207
I. S. Gradshteyn, I. M. Ryzhik: Tables of Integrals, Series, and Products (Academic, New York 1965) p. 337; p. 284
B. R. Frieden: J. Opt. Soc. Am. 64, 682 (1974)
Additional Reading
Justusson, B. I.: In Two-Dimensional Digital Signal Processing II: Transforms and Median Filters ed. by T. S. Huang, Topics in Applied Physics, Vol. 43 (Springer, Berlin, Heidelberg, New York 1981)
Kendall, M. G., A. Stuart: The Advanced Theory of Statistics, Vol. 1 (Griffin, London 1969)
Mises, R. von: Mathematical Theory of Probability and Statistics (Academic, New York 1964)
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© 1991 Springer-Verlag Berlin Heidelberg
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Frieden, B.R. (1991). Introduction to Statistical Methods: Estimating the Mean, Median, Variance, S/N, and Simple Probability. In: Probability, Statistical Optics, and Data Testing. Springer Series in Information Sciences, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97289-8_9
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DOI: https://doi.org/10.1007/978-3-642-97289-8_9
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