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Characterization of the Pólya-Aeppli Process

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Publication:2844028
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DOI10.1080/07362994.2013.798994zbMath1285.60043OpenAlexW2001829164MaRDI QIDQ2844028

Leda D. Minkova, Stefanka S. Chukova

Publication date: 27 August 2013

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2013.798994


zbMATH Keywords

compound distributionPólya-Aeppli distributionpure birth processdelayed renewal process


Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stationary stochastic processes (60G10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items (6)

A surplus process involving a compound Poisson counting process and applications ⋮ Introducing the non-homogeneous compound-birth process ⋮ Geometric Pólya-Aeppli process ⋮ Non-homogeneous Pólya-Aeppli process ⋮ Unnamed Item ⋮ Generalized fractional counting process




Cites Work

  • The Pólya-Aeppli process and ruin problems
  • Basics of Applied Stochastic Processes
  • A GENERALIZATION OF THE CLASSICAL DISCRETE DISTRIBUTIONS
  • An Introduction to the Theory of Point Processes
  • Financial Modelling with Jump Processes
  • Univariate Discrete Distributions




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