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Quadratic Stochastic Intensity and Prospective Mortality Tables

Christian Gourieroux and Alain Monfort

No 2007-30, Working Papers from Center for Research in Economics and Statistics

Abstract: We consider a quadratic stochastic intensity model with Gaussian autore-gressive factor, derive explicit formulas for the predictive mortality tables andprovide the recursive updating formulas are also provided. We also explainhow to use appropriately the Kalman ¯lter to estimate the parameters ofthe model and to approximate the values of the underlying factor. Thismethodology is applied to the French human mortality tables.

Pages: 58
Date: 2007
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