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On the Fast Fourier Transform Inversion of Probability Generating Functions

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Publication:4176930
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DOI10.1093/imamat/22.3.275zbMath0394.65053OpenAlexW2162877069MaRDI QIDQ4176930

James K. Cavers

Publication date: 1978

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/22.3.275


zbMATH Keywords

Fast Fourier TransformErrorsInvert Z TransformsNumerical Tool in Queuing and Other Statistical AnalysisProbability Generating FunctionsRound-Off


Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Numerical methods for trigonometric approximation and interpolation (65T40) Probabilistic methods, stochastic differential equations (65C99)


Related Items (5)

Queue length distributions from probability generating functions via discrete Fourier transforms ⋮ Exact solution of a two-type branching process: clone size distribution in cell division kinetics ⋮ The Fourier-series method for inverting transforms of probability distributions ⋮ Numerical inversion of probability generating functions ⋮ Multiscale Intensity Models and Name Grouping for Valuation of Multi-Name Credit Derivatives




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