Distributions in a class of Poissonized urns with an application to Apollonian networks

DOI10.1016/j.spl.2016.03.023zbMath1346.60145OpenAlexW2323798453MaRDI QIDQ286444

Panpan Zhang, Hosam M. Mahmoud

Publication date: 20 May 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.03.023

zbMATH Keywords

branching processesconvergence in distributionpartial differential equationsgamma random variablePólya processesrandom Apollonian networksstochastic recurrence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic network models in operations research (90B15) Special processes (60K99) Generalized stochastic processes (60G20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) General topics in partial differential equations (35A99)

Related Items (2)

The continuous-time triangular Pólya process ⋮ Distributions in the constant-differentials Pólya process

Cites Work

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• Phases in the two-color tenable zero-balanced Pólya process
• Distributions in the Ehrenfest process
• Exact and limiting distributions in diagonal Pólya processes
• Functional limit theorems for multitype branching processes and generalized Pólya urns.
• The degree profile and weight in Apollonian networks and k-trees
• Continuous Bivariate Distributions
• Asymptotic Normality in the Generalized Polya–Eggenberger Urn Model, with an Application to Computer Data Structures
• Asymptotic degree distribution in random recursive trees
• Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems

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