We show that for the binomial and Poisson distributions, the distance between the mean and the median is always less than ln 2.

The units of a heterogeneous population are subjected to shocks. A unit fails, or more generally, undergoes a change of state after a sufficient number of shocks. The shocks for a particular unit are assumed to arrive according to a time heterogeneous Poisson process. The time to a change of...

This ecological study describes the cholera epidemic in Harare during 2008-2009 and identifies patterns that may explain transmission. Rates ratios of cholera cases by suburb were calculated by a univariate regression Poisson model and then, through an Empirical Bayes modelling, smoothed rate...

Distributions are often characterised by their ageing properties, failure rates, residual life, etc. New failure distributions based on ageing properties are derived and some simple graphical techniques based on the ageing properties of distributions are demonstrated.