We study a long-range dependence Gaussian process which we call “sub-fractional Brownian motion” (sub-fBm), because it is intermediate between Brownian motion (Bm) and fractional Brownian motion (fBm) in the sense that it has properties analogous to those of fBm, but the increments on...

In this paper, we show how to calibrate the most usual stochastic processes: arithmetic and geometric Brownian motions,, mean-reverting processes and jump processes. This paper contains also many applications to Canadian financial data. We observe, among other phenomena, that a mean-reverting...

In this paper we generalize Yu’s strong invariance principle for associated sequences to the multi-parameter case, under the assumption that the covariance coefficient u(n) decays exponentially as n - (infinity symbol). The main tools will be the Berkes-Morrow multi-parameter blocking...

This paper proposes to revisit both the CAPM and the three-factor model of Fama and French (1993) in presence of errors in the variables. To reduce the bias induced by measurement and specification errors, we transpose to the cost of equity an estimator based on cumulants of order three and four...

This paper proposes new Hausman-based estimators lying on cumulants optimal instruments. Using these new generated strong instruments in a GMM setting, we obtain new GMM estimators which we call GMM-C and its homologue, the GMM-hm. This procedure improves the method of moments for identifying...

We establish a mathematical framework that formally validates the two-phase “superpopulation viewpoint” proposed by Hartley and Sielken (1975), by defining a product probability space which includes both the design space and the model space. We develop a general methodology that combines...

Dans cet essai, nous présentons deux nouveaux estimateurs qui ont la propriété d’être convergents en présence d’erreurs de mesure sur les variables. Ces estimateurs sont basés sur les cumulants d’ordre deux et trois de la matrice des variables explicatives. Nous présentons...

In this paper, we use the Markov chain censoring technique to study infinite state Markov chains whose transition matrices possess block-repeating entries. We demonstrate that a number of important probabilistic measures are invariant under censoring. Informally speaking, these measures involve...

En recourant de plus en plus aux modèles à forme réduite, la théorie de l'évaluation du risque de crédit se distance de plus en plus de l'ingénierie financière traditionnelle qui donne la part belle aux modèles structurels. Bien qu'ils postulent l'absence d'arbitrage, les modèles à...

In the context of simulating the transport of a chemical or bacterial contaminant through a moving sheet of water, we extend a well established method of approximating reaction-diffusion equations with Markov chains by allowing convection, certain Poisson measure driving sources and a larger...