Accesso libero

On a non-homogeneous difference equation from probability theory

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications 2008
INFORMAZIONI SU QUESTO ARTICOLO

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.

ISSN:
1210-3195
Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Mathematics, General Mathematics