Laws relating runs and steps in gambler's ruin

DOI10.1016/j.spa.2014.12.005zbMath1329.60039OpenAlexW2128149348MaRDI QIDQ2018568

Gregory J. Morrow

Publication date: 24 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.spa.2014.12.005

zbMATH Keywords

runsmeandergambler's ruingeneralized Fibonacci polynomiallast visit

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Exact enumeration problems, generating functions (05A15)

Related Items (1)

Deciding when to quit the gambler's ruin game with unknown probabilities

Uses Software

• OEIS

Cites Work

• Narayana polynomials and Hall-Littlewood symmetric functions
• Catalan lattice paths with rook, Bishop and spider steps
• Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
• Brownian Local Times and Taboo Processes
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