Compound Log-Series Distribution with Negative Multinomial Summands

  • Pavlina JordanovaEmail author
  • Monika P. Petkova
  • Milan Stehlík
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10187)


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.


Compound distributions Mixed distributions Negative multinomial distribution Logarithmic series distributions 



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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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Pavlina Jordanova
    • 1
    Email author
  • Monika P. Petkova
    • 2
  • Milan Stehlík
    • 3
    • 4
  1. 1.Faculty of Mathematics and InformaticsShumen UniversityShumenBulgaria
  2. 2.Faculty of Mathematics and InformaticsSofia UniversitySofiaBulgaria
  3. 3.Institute of StatisticsUniversidad de ValparaísoValparaísoChile
  4. 4.Department of Applied StatisticsJohannes Kepler UniversityLinzAustria

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