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“An Analysis of the Discrete and Continuous Gambler's Ruin Problem”. I. Introduction: For models of a broad spectrum of phenomena, it can be useful to incorpo- ...
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value T. In the classical gambler's-ruin problem,t2' a random walk is executed in discrete ... cuted in continuous time on the continuum 0<x<T, subject to the fol- ...
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RUIN PROBLEM FOR AN INHOMOGENEOUS SEMICONTINUOUS. INTEGER- VALUED PROCESS. D. V. Gusak. UDC 519.21. For a process ~(t) = ~ l (t) + Z(t), ...
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... Markov chains, Gambler's ruin problem, Poisson processes, birth and death processes and other continuous-time Markov chains, renewal reward processes.
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Absorption in a finite Markov chain (Gambler's ruin problem). Chapter 5 (part a). Continuous random variables. Distribution function and probability density ...
galton.uchicago.edu/~lalley/Courses/312/RW.pdf
Difference Equations: To solve the gambler's ruin problem, we'll set up and solve a ... continuous-time Markov processes are, in much the same way, related to ...
www.tandfonline.com/doi/abs/10.1080/03461238.1969.10404... www.tandfonline.com/doi/abs/10.1080/03461238.1969.10404610
Section VIII. On the Ruin Problem in the Collective Theory of Risk ... also assume A(X) to be a continuous function of x, the size of the risk reserve. However, we ...
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