In R2 the integral of a regularly varying (RV) function f is regularly varying only if f is monotone. Generalization to R2 of the one-dimensional result on regular variation of the derivative of an RV-function however is straightforward. Applications are given to limit theory for partial sums of...

Out of n i.i.d. random vectors in d let X*n be the one closest to the origin. We show that X*n has a nondegenerate limit distribution if and only if the common probability distribution satisfies a condition of multidimensional regular variation. The result is then applied to a problem of density...

Let X1, X2,..., Xn be n independent, identically distributed, non negative random variables and put and Mn = [logical and operator]ni=1 Xi. Let [varrho](X, Y) denote the uniform distanc distributions of random variables X and Y; i.e. . We consider [varrho](Sn, Mn) when P(X1x) is slowly varying...

The stability of the financial system at higher loss levels is either characterized by asymptotic dependence or asymptotic independence. If asymptotically independent, the dependency, when present, eventually dies out completely at the more extreme quantiles, as in case of the multivariate...

We show by means of a bank relationship model that after monetary policy tightening, public firms (having easier access to public capital markets) are more likely to decrease their demand for bank loans than private firms (which are typically more dependent on bank credit and benefit more from...

Since 1989, DNB publishes every month a column on the Netherlands' economy in the Dutch economist weekly, ESB. This column discusses the latest trends depicted by the DNB business cycle indicator. The indicator has not been changed since its construction and has performed well over the years....

The continental European financial system distinghuishes itself from its American counterpart by the dominance of banks in the financing of nonfinancial companies. Only a fraction of the external capital need of the private sector is fulfilled directly, on the public capital market. Non-bank...

We perform four simulations with the multi-countrymodel EUROMON illustrating both upwards and downward risks to future inflation in the Euro area. We examine how different sources of inflation can affect, first, the Euro area as a whole in comparison to the US, and second, compare the effects...

We use a subsample bootstrap method to get a consistent estimate of the asymptotically optimal choice of the sample fraction, in the sense of minimal mean squared error, which is needed for tail index estimation. Unlike previous methods our procedure is fully self contained. In particular, the...

The stability of the financial system at higher loss levels is either characterized by asymptotic dependence or asymptotic independence. If asymptotically independent, the dependency, when present, eventually dies out completely at the more extreme quantiles, as in case of the multivariate...