scholarly journals The Gambler's Ruin Problem and Quantum Measurement

2020 ◽  
Vol 315 ◽  
pp. 100-111
Author(s):  
Fabrice Debbasch
2009 ◽  
Vol 43 (1) ◽  
pp. 81-90 ◽  
Author(s):  
Jean-Luc Guilbault ◽  
Mario Lefebvre

Abstract The so-called gambler’s ruin problem in probability theory is considered for a Markov chain having transition probabilities depending on the current state. This problem leads to a non-homogeneous difference equation with non-constant coefficients for the expected duration of the game. This mathematical expectation is computed explicitly.


2017 ◽  
Vol 468 ◽  
pp. 147-157
Author(s):  
Zoltán Néda ◽  
Larissa Davidova ◽  
Szeréna Újvári ◽  
Gabriel Istrate

Biometrika ◽  
1955 ◽  
Vol 42 (3-4) ◽  
pp. 486-493 ◽  
Author(s):  
C. MOHAN

SIAM Review ◽  
1971 ◽  
Vol 13 (4) ◽  
pp. 569-570
Author(s):  
Michael L. Trombetta

2021 ◽  
Vol 52 (4) ◽  
pp. 299-301
Author(s):  
Greg Orosi ◽  
Ricardo Alfaro ◽  
Lixing Han ◽  
Kenneth Schilling

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