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The first passage event for sums of dependent Lévy processes with applications to insurance risk
First passage event fluctuation theory ladder process multivariate L´ evy process
2010/11/3
For the sum process X = X1 + X2 of a bivariate L´evy process (X1,X2) with possibly dependent components, we derive a quintuple law describing the first upwards passage event of X over a fixed ba...
Explicit Computations for a Filtering Problem with Point Process Observations with Applications to Credit Risk
Filtering Problem Applications Credit Risk
2010/12/13
We consider the intensity-based approach for the modeling of default times of one or more companies. In this approach the default times are defined as the jump times of a Cox process, which is a Poiss...