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On moments of probability distribution functions

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 457))

Abstract

Techniques of fractional calculus are used to obtain formulae for the absolute moments of probability distribution functions.

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References

  1. Lukacs, E., Characteristic Functions, Second Edition, 1970, Hafner, New York.

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  2. Marchaud, A., "Sur des derivées et sur les différences des fonctions de variable réeles," Journal de Mathematiques Pures et Appliquées, 1927, V. 6, 337–425.

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  3. Brown, B. M., "Characteristic functions, moments, and the central limit theorem," Annals of Mathematical Statistics, 1970, V. 41, 658–664.

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  4. Wolfe, S. J., "On the local behavior of characteristic functions," Annals of Probability, 1973, V. 1, 862–866.

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  5. Feller, W., An Introduction to Probability Theory and its Applications, V. 2, Second Edition, 1971, John Wiley, New York.

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Authors

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Bertram Ross

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© 1975 Springer-Verlag

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Wolfe, S.J. (1975). On moments of probability distribution functions. In: Ross, B. (eds) Fractional Calculus and Its Applications. Lecture Notes in Mathematics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067116

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  • DOI: https://doi.org/10.1007/BFb0067116

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07161-7

  • Online ISBN: 978-3-540-69975-0

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