The speed of convergence of the truncated realized covariance to the integrated covariation between the two Brownian parts of two semimartingales is heavily influenced by the presence of infinite activity jumps with infinite variation. Namely, the two processes small jumps play a crucial role...

Under the assumption that individual preferences are linear orders on the set of alternatives, we study the social choice functions which satisfy suitable symmetries and obey the majority principle. In particular, supposing that individuals and alternatives are exogenously partitioned into...

Assuming that alternatives are three or more, we prove that if the set of anonymous, neutral and reversal symmetric minimal majority rules is nonempty, then it has at least two elements. We propose then further principles linked to equity and fairness that can be used to exclude some rules in...

In this paper we consider two processes driven by Brownian motions plus drift and jumps with infinite activity. Given discrete observations on a finite time horizon, we study the truncated (threshold) realized covariance \hat{IC} to estimate the integrated covariation IC between the two Brownian...

The original motivation of this work comes from a classic problem in finance and insurance: that of computing the value-at-risk (VaR) of a portfolio of dependent risky positions, i.e. the quantile at a certain level of confidence of the loss distribution. In fact, it is difficult to overestimate...

We prove the convergence of a deterministic algorithm to compute the distribution function of the sum of d >1 dependent random variables, with given joint distribution, via the approximation of the probability measure of a d-dimensional symplex by overlapping hypercubes.

In the standard arrovian framework and under the assumptions that individual preferences and social outcomes are linear orders over the set of alternatives, we provide necessary and sufficient conditions for the existence of anonymous, neutral and reversal symmetric rules and for the existence...

In the standard arrovian framework and under the assumptions that individual preferences and social outcomes are linear orders over the set of alternatives, we provide necessary and sufficient conditions for the existence of anonymous and neutral rules and for the existence of anonymous and...

La costruzione di un controesempio aritmetico coerente con gli assiomi di Zermelo e Fraenkel che contraddice l’equivalenza della doppia negazione relega l’equivalenza della doppia negazione al sistema logico elementare classico della certezza e la esclude dai sistemi simbolici formalizzati...

In this paper, we construct non parametric estimators of the volatility of volatility and the leverage component (covariance between the asset price and the volatility process) in the framework of one dimensional stochastic volatility model. The main feature of our estimator is that, given...