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International Conference on Numerical Analysis and Its Applications

NAA 2016: Numerical Analysis and Its Applications pp 383–390Cite as

Compound Log-Series Distribution with Negative Multinomial Summands

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 10187)

Abstract

The paper presents the first full characterization of multivariate random sum with one and the same Logarithmic Series number of summands in each coordinate. The summands with equal indexes in any coordinate are Negative Multinomially distributed. We show that considered as a mixture, the resulting distribution coincides with Mixed Negative Multinomial distribution with scale changed Logarithmic Series distributed first parameter.

Keywords

  • Compound distributions
  • Mixed distributions
  • Negative multinomial distribution
  • Logarithmic series distributions

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Fig. 1.

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Acknowledgements

This work is partially supported by project Fondecyt Proyecto Regular No. 1151441, the Project RD-08-69/02.02.2016 from the Scientific Research Fund in Konstantin Preslavsky University of Shumen, Bulgaria and by the financial funds allocated to the Sofia University St. Kliment Ohridski, Bulgaria, grant No. 197/13.04.2016.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Shumen University, 115 Universitetska Str., 9712, Shumen, Bulgaria

    Pavlina Jordanova

  2. Faculty of Mathematics and Informatics, Sofia University, 5 “James Bourchier” Blvd., 1164, Sofia, Bulgaria

    Monika P. Petkova

  3. Institute of Statistics, Universidad de Valparaíso, Valparaíso, Chile

    Milan Stehlík

  4. Department of Applied Statistics, Johannes Kepler University, Altenbergerstrasse 69, 4040, Linz, Austria

    Milan Stehlík

Authors
  1. Pavlina Jordanova
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  2. Monika P. Petkova
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  3. Milan Stehlík
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Corresponding author

Correspondence to Pavlina Jordanova .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

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Jordanova, P., Petkova, M.P., Stehlík, M. (2017). Compound Log-Series Distribution with Negative Multinomial Summands. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_42

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_42

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