Let X1,X2,...Xn be independent and identically distributed (i.i.d.) non-negative random variables with a common distribution function (d.f.) F with unbounded support and . We show that for a large class of heavy tailed random variables with a finite variance the renewal function U satisfies as...

We focus on the impact of migrants' remittances on consumption patterns in China. Using a large homogenous sample of rural households surveyed in 2001 and 2004, we find that remittances are spent on nonhousing consumption expenditures at the margin, virtually dollar-for-dollar, when we...

A conceptually simple quantile inference procedure is proposed for cause-specific failure probabilities with competing risks data. The quantiles are defined using the cumulative incidence function, which is intuitively meaningful in the competing–risks set–up. We establish the uniform...

In this paper we shall give an alternative derivation of the coefficient of tail dependence introduced by Ledford and Tawn [1996, Biometrika 83, 169-187] and propose a consistent estimator, which is asymptotically normal.

Under a second order regular variation condition, rates of convergence of the distribution of bivariate extreme order statistics to its limit distribution are given both in the total variation metric and in the uniform metric.

Tail index estimation depends for its accuracy on a precise choice of the sample fraction, i.e., the number of extreme order statistics on which the estimation is based. A complete solution to the sample fraction selection is given by means of a two-step subsample bootstrap method. This method...