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An Application of the Mixture Theory to the Decomposition Problem of Characteristic Functions

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Contributions to Stochastics
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Summary

In more papers author dealt with a new foundation of the mixture theory of probability distribution functions. In this paper a part of the obtained results is used to give necessary and sufficient condition in order to decide whether a given characteristic function is a factor of another one, or not.

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References

  1. Gyires, B. Contribution to the theory of linear combination of probability distribution functions. Stud. Sci. Math. Hung. 16 (1981), 297–324.

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  2. Gyires, B. The mixture of probability distribution functions by absolutely continuous weight functions. Acta Sci. Math. 48 (1985), 173–186.

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  3. Linnik, Yu. V. Decomposition of probability distributions.Oliver & Boyd Ltd., Edinburgh & London, 1964.

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  4. Lukacs, E. Characteristic functions. Charles Griffin & Co. Limited, London, 1960.

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© 1987 Physica-Verlag Heidelberg

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Gyires, B. (1987). An Application of the Mixture Theory to the Decomposition Problem of Characteristic Functions. In: Sendler, W. (eds) Contributions to Stochastics. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-46893-3_13

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  • DOI: https://doi.org/10.1007/978-3-642-46893-3_13

  • Publisher Name: Physica-Verlag HD

  • Print ISBN: 978-3-642-46895-7

  • Online ISBN: 978-3-642-46893-3

  • eBook Packages: Springer Book Archive

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