This paper introduces a notion on nonlinear innovation for the ananlysis of nonlinear dynamics. We show that nonlinear processes can be represented as functions of current and lagged values of nonlinear innovations.

The aim of this paper is to analyze the sensitivity of Value at Risk (VaR) with respect to portfolio allocation. We derive analytical expresssions for the first and second derivatives of the Value at Risk, and explain how they can be used to simplify statistical inference and to perform a loval...

In order to obtain exact distributional results without imposing restrictive parametric assumptions, various rank counterparts of the Dickey-Fuller statistic are considered. In particular, a rank counterpart of the score statistic is suggested which appears to have attractive theoretical...

We introduce nonlinear panel data models for individual risl management and control. Our approach extends traditional models by allowing for nonlinearities in input variables and unobserved individual heterogeneity with possible temporal dependence. This permits us to develop nonlineat models...

Dans cet article, pour etendre la theorie du consommateur a ses choix d'epargne et de placements, on utilise a la fois la theorie usuelle, celle des caracteristiques et celle du raisonnement quantitatif. On en deduit un systeme complet de demandes comprenant simultanement les quantites de biens...

The paper investigates the pricing of derivative securities with calendar-time maturities.