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Part of the book series: Lecture Notes in Statistics ((LNS,volume 19))

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Abstract

A statistic can frequently be considered as a functional on a space of distribution functions. Often such a statistical functional possesses differentiability properties which provide information about its asymptotic behavior. These basic ideas were introduced by R. von Mises (1947), who developed a theory for the analysis of the asymptotic distribution of statistical functionals, using a form of Taylor expansion involving the derivatives of the functionals.

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© 1983 Springer-Verlag New York Inc.

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Fernholz, L.T. (1983). Introduction. In: von Mises Calculus For Statistical Functionals. Lecture Notes in Statistics, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5604-5_1

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  • DOI: https://doi.org/10.1007/978-1-4612-5604-5_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90899-1

  • Online ISBN: 978-1-4612-5604-5

  • eBook Packages: Springer Book Archive

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