In this paper, we propose a model-free bootstrap method for the empirical process under absolute regularity. More precisely, consistency of an adapted version of the so-called dependent wild bootstrap, that was introduced by Shao (2010) and is very easy to implement, is proved under minimal...

The empirical process of the residuals from general autoregressions is investigated. If an intercept is included in the regression, the empirical process is asymptotically Caussian and free of nuissance parameters. This contrasts the known result that in the unit root case without intercept the...

We consider estimation of the drift function for a large class of multidimensional ergodic diffusions and establish the exact constant of the risk asymptotics in the L2 risk. The constant is of Pinsker-type and in particular reflects the dependence of the drift estimation problem on the geometry...

In some recent papers, some procedures based on some weighted empirical measures related to decreasing-step Euler schemes have been investigated to approximate the stationary regime of a diffusion (possibly with jumps) for a class of functionals of the process. This method is efficient but needs...

In this paper, we present a multi-factor continuous-time autoregressive moving-average (CARMA) model for the short and forward interest rates. This model is able to present an adequate statistical description of the short and forward rate dynamics. We show that this is a tractable term structure...

In this paper, we describe a numerical method to price barrier options on a zero-coupon bond. The method can be applied to one-factor short rate models where the transtion distribution function of the short rate is known and no explicit solutions for barrier bond options are available. We give...

We consider a two factor interest rate model, where the volatility level follows continuous time finite state Markov chain. We derive the close form solution of bond price that involves fundamental matrix.

A recent article of Flesaker and Hughston introduces a one factor interest rate model called the rational lognormal model. This model has a lot to recommend it including guaranteed finite positive interest rates and analytic tractability. Consequently, it has received a lot of attention among...