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We construct explicitly a bridge process whose distribution, in its own filtration, is the same as the difference of two independent Poisson processes with the same intensity and its time 1 value sati...
A generalized bridge is the law of a stochastic process that is conditioned on linear functionals of its path. We consider two types of representations of such bridges: orthogonal and canonical. In th...
We develop a non-life reserving model using a stable-1/2 random bridge to simulate the accumulation of paid claims, allowing for an arbitrary choice of a priori distribution for the ultimate loss. Tak...
The information-based asset-pricing framework of Brody, Hughston and Mac-rina (BHM) is extended to include a wider class of models for market information.In the BHM framework, each asset is associated...
Diffusion processes are widely used in engineering, fiance, physics and other fields. Usually continuous time diffusion processes are only observable at discrete time points. For many applications, it...

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