Traditional shock models view system failure time as a first passage problem. Yeh Lam proposed a new class of models called δ-shock models in which failure was dependent on the frequency of shocks. The present work generalizes Yeh Lam's results for renewal shock arrivals and random threshold....

In state legislative elections some candidates attract contributions from many donors whereas other candidates have much smaller donor pools. Why? What are the origins of these disparities? This paper conceptualizes contributions as a type of attachment between the donor and the state...

Using the Pareto distribution, this paper estimates the size distribution of metropolitan areas in India from 1981 through 2025. Empirical results offer evidence for dispersion of metropolitan population size, notwithstanding the growing concentration of urban population in metropolitan areas as...

This paper analyses the statistical distribution of war size. We find strong support for a Pareto-type distribution (power law) using data from different sources (COW and UCDP) and periods. A power law describesaccurately the size distribution of all wars, but also the distribution of the sample...

Using a comprehensive international trade data set we investigate empirical regularities (known as Zipf’s Law or the rank-size rule) for the distribution of the interaction between countries as measured by revealed comparative advantage. Using the recently developed estimator by Gabaix and...

The aggregate claim amount in a particular time period is a quantity of fundamental importance for proper management of an insurance company and also for pricing of insurance coverages. In this paper, we show that the proportional hazard rates (PHR) model, which includes some well-known...

This paper analyses the statistical distribution of war size. We find strong support for a Pareto-type distribution (power law) using data from different sources (COW and UCDP) and periods. A power law describes accurately the size distribution of all wars, but also the distribution of the...

We discuss moving-maximum models, based on weighted maxima of independent random variables, for extreme values from a time series. The models encompass a range of stochastic processes that are of interest in the context of extreme-value data. We show that a stationary stochastic process whose...