From the reviews:"... Besides the fact that the author's treatment of large deviations is a nice
contribution to the literature on the subject, his book has the virue that it provides a …

The increasing complexity of insurance and reinsurance products has seen a growing
interest amongst actuaries in the modelling of dependent risks. For efficient risk …

Food webs hold a central place in ecology. They describe which organisms feed on which
others in natural habitats. This book describes recently discovered empirical regularities in …

The theory of spatial models over lattices, or random fields as they are known, has
developed significantly over recent years. This book provides a graduate-level introduction …

The purpose of this paper is to propose a unifying weak dependence condition. Mixing
sequences, functions of associated or Gaussian sequences, Bernoulli shifts as well as …

We study the almost sure convergence of sums of negatively dependent random variables,
in particular, the classical strong law of large numbers for independent distributed random …

Let {X i, 1≤ i≤ n} be a negatively associated sequence, and let {X* i, 1≤ i≤ n} be a
sequence of independent random variables such that X* i and X i have the same distribution …

This book gives a comprehensive review of results for associated sequences and
demimartingales developed so far, with special emphasis on demimartingales and related …

The present volume contains the most advanced theories on the martingale approach to
central limit theorems. Using the time symmetry properties of the Markov processes, the …

Three recently discovered quantitative empirical generalizations describe major features of
the structure of community food webs. These generalizations are:(i) a species scaling law …