Using the electric network approach, we give closed-form formulas for the stationary probabilities and expected hitting times in balanced circular Markov chains. As an application, we give a closed-form formula for the duration of play in the general ruin problem, where the probabilities of winning
✦ LIBER ✦
A Note on Stepanov’s Tests for Markov Chains
✍ Scribed by Goodman, Leo A.
- Book ID
- 118219589
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1959
- Tongue
- English
- Weight
- 453 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0040-585X
- DOI
- 10.1137/1104004
No coin nor oath required. For personal study only.
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