Exact and limiting distributions in diagonal Pólya processes

DOI10.1007/S10463-005-0012-XzbMath1108.60086OpenAlexW4234475147MaRDI QIDQ2502130

Hosam M. Mahmoud, Srinivasan Balaji

Publication date: 12 September 2006

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-005-0012-x

zbMATH Keywords

method of characteristicspartial differential equationsUrn models

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Special processes (60K99) Other physical applications of random processes (60K40)

Related Items (6)

Distributions in a class of Poissonized urns with an application to Apollonian networks ⋮ Characterizations of asymptotic distributions of continuous-time Pólya processes ⋮ Exactly solvable urn models under random replacement schemes and their applications ⋮ The continuous-time triangular Pólya process ⋮ Distributions in the constant-differentials Pólya process ⋮ DRAWING MULTISETS OF BALLS FROM TENABLE BALANCED LINEAR URNS

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• Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems
• A simple urn model
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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