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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...
In this work we develop a tractable structural model with analytical default probabilities depending on a random default barrier and possibly random volatil-ity ideally associated with a scenario base...