We study the robustness of block resampling procedures for time series. We first derive a setof formulas to quantify their quantile breakdown point. For the block bootstrap and the sub-sampling, we find a very low quantile breakdown point. A similar robustness problem arisesin relation to...

In this paper, we consider the coherent theory of (epistemic) uncertainty ofWalley, in whichbeliefs are represented through sets of probability distributions, and we focus on the problemof modeling prior ignorance about a categorical random variable. In this setting, it isa known result that a...

We develop a convenient structural framework for the joint model-ing of credit spreads, stock prices, stock options and basket creditderivatives, using a multivariate structural ¯rm value model withskewed asset returns. We show that our setting successfully addressesseveral empirical facts,...

We develop a new completely affine model of the term structure of interest rates, in which the statevariables evolve as a matrix-valued process of stochastically correlated factors. This setting grants a newelement of flexibility in the simultaneous modeling of stochastic volatilities and...

We develop infinitesimally robust statistical procedures for general diffusion processes. We first prove existence and uniqueness of the times series influence function of conditionally unbiased M-estimators for ergodic and stationary diffusions, under weak conditions on the (martingale)...