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.

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...

Nonparametric estimators for competing risks data can be applied to semicompeting risks data, a type of multi-state data where a terminating event may censor a nonterminating event, after forcing the data into the competing risks format. Complications may arise with left truncation of the...

Estimators of the extreme-value index are based on a set of upper order statistics. When the number of upper-order statistics used in the estimation of the extreme-value index is small, the variance of the estimator will be large. On the other hand, the use of a large number of upper statistics...

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.