Precis: Lyons' (1972) data on the distribution of Irish wealth are considered and the appropriateness of the lognormal and Pareto models for this data are assessed using relatively sophisticated statistical methods. Allowance is made for the 65 per cent of individuals whose estate size is unrecorded. New estimates of total wealth and of the distribution of wealth in Ireland are obtained. Part o...

The time interval between successive bursts from SGR 1806-20 and the intensity of these bursts are both consistent with lognormal distributions. Monte Carlo simulations of lognormal burst models with a range of distribution parameters have been investigated. The main conclusions are that while most sources like SGR 1806-20 should be detected in a time interval of 25 years, sources with means ab...

This paper investigates the issue of connectivity of a wireless adhoc network in the presence of channel impairments. We derive analytical expressions for the node isolation probability in an adhoc network in the presence of Nakagami-m fading with superimposed lognormal shadowing. The node isolation probability is the probability that a randomly chosen node is not able to communicate with none ...

We propose and discuss two information-based measures of statistical dispersion of positive continuous random variables: the entropy-based dispersion and Fisher information-based dispersion. Although standard deviation is the most frequently employed dispersion measure, we show, that it is not well suited to quantify some aspects that are often expected intuitively, such as the degree of random...

Pronunciation time probability density and hazard functions from large speeded word naming data sets were assessed for empirical patterns consistent with multiplicative and reciprocal feedback dynamics - interaction dominant dynamics. Lognormal and inverse power law distributions are associated with multiplicative and interdependent dynamics in many natural systems. Mixtures of lognormal and in...

The effect of the microstructure on the electromigration failure development is analyzed. We investigate the influence of the statistical distribution of copper grain sizes on the electromigration time to failure distribution. Also, the effect of the microstructure on the formation and development of an electromigration-induced void is studied by simulation and the results are compared with exp...

An involution is a permutation that is its own inverse. Given a permutation σ of [n], let Nn(σ) denote the number of ways to write σ as a product of two involutions of [n]. If we endow the symmetric groups Sn with uniform probability measures, then the random variables Nn are asymptotically lognormal. The proof is based upon the observation that, for most permutations σ, Nn(σ) can be well appro...