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Discrete averaged mixing applied to the logarithmic distributions

  • Gejza Wimmer EMAIL logo , Ján Mačutek und Gabriel Altmann
Veröffentlicht/Copyright: 5. Juli 2016
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 66 Heft 2

Abstract

A new type of mixtures of discrete probability distributions is presented. A family of discrete averaged mixed distributions is introduced. Its subclass of averaged mixed logarithmic distributions is analyzed. Probabilistic characterizations and connections with other types of mixing are derived. We show also some examples of the analyzed distributions found in literature.

keywords: discrete distributions; mixed distributions; weighted distributions; generalized distributions
MSC 2010: Primary 62E15; 60E05

Dedicated to Professor Anatolij Dvurečenskij on the occasion of his 65th birthday

(Communicated by Sylvia Pulmannová)

Supported by the grant No. 2/0047/15 of the Grant Agency VEGA (G. Wimmer, J. Mačutek) and grant No. APVV-15-0295 of the Grant Agency APVV (G. Wimmer).

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Received: 2014-2-12
Accepted: 2014-10-27
Published Online: 2016-7-5
Published in Print: 2016-4-1

© Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0152
Schlagwörter für diesen Artikel
discrete distributions; mixed distributions; weighted distributions; generalized distributions

Artikel in diesem Heft

  1. Research Article
  2. Holistic logical arguments in quantum computation
  3. Research Article
  4. States with values in the Łukasiewicz groupoid
  5. Research Article
  6. On realization of effect algebras
  7. Research Article
  8. States on symmetric logics: extensions
  9. Research Article
  10. Extensions and measurability in quantum measure spaces
  11. Research Article
  12. Convex subalgebras of upper bounded GMV-algebras
  13. Research Article
  14. Combining boolean algebras and ℓ-groups in the variety generated by chang’s mv-algebra
  15. Research Article
  16. Large rigid sets of algebras with respect to embeddability
  17. Research Article
  18. Conformal algebras, vertex algebras, and the logic of locality
  19. Research Article
  20. Extension of measures on pseudo-D-lattices
  21. Research Article
  22. Note on a parameter switching method for nonlinear ODEs
  23. Research Article
  24. Compatibility for probabilistic theories
  25. Research Article
  26. Completeness of Gelfand-Neumark-Segal inner product space on Jordan algebras
  27. Research Article
  28. Commutativity in a synaptic algebra
  29. Research Article
  30. Discrete averaged mixing applied to the logarithmic distributions
  31. Research Article
  32. Automorphisms of decompositions
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