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We obtain closed-form expressions for the value of the joint Laplace transform of the running maximum and minimum of a diffusion-type process stopped at the first time at which the associated drawdown or drawup process hits a constant level before an independent exponential random time. It is...
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-differential operators and several original contributions to the theory of finite-difference schemes, is new as applied to the Lévy processes … theory of finite-difference schemes, the theory of M-matrices and EM-matrices, etc., thus forming a self-contained work that …Basics of a finite difference method -- Modern finite difference approach -- An M-matrix theory and FD -- Brief …
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most important class of stochastic processes. The book then elaborates the theory of Markov chains in detail including … terms of associated stationary and long run distributions. The book first illustrates the theory for some typical Markov … processes play a fundamental role in the theory and applications in queuing and inventory models, population growth …
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