Frequency-magnitude distributions, and their associated uncertainties, are of key importance in statistical seismology. When fitting these distributions , the assumption of Gaussian residuals is invalid since event numbers are both discrete and of unequal variance. In general, the observed number in any given magnitude range is described by a binomial distribution which, given a large total num...

BACKGROUND Understanding how built environment characteristics influence recreational walking is of the utmost importance to develop population-level strategies to increase levels of physical activity in a sustainable manner. PURPOSE This study analyzes the residential and non-residential environmental correlates of recreational walking, using precisely geocoded activity space data. METHODS...

The goal of the present research is to understand individual differences and growth of children's and adolescents' performance on two spatial tasks through a formal model framework. In Study 1, 579 subjects aged 7-16 years old drew lines to represent their water-level task predictions for eight tilted rectangular vessels. In the verticality task, called the "van task," subjects drew lines repre...

We develop a model for predicting the probability of incorrect, random matches when using a geometric hashing based recognition scheme. To estimate the vote for random matches we approximate the voting function by a discrete function and use the binomial distribution. The resulting probability distribution of votes for random matches is compared with experiments that have a set of artificially ...

We present two natural generalizations of the multinomial and multivariate binomial distributions, which arise from the multiplicative binomial distribution of Altham (1978). The resulting two distributions are discussed and we introduce an R package, MM, which includes associated functionality. This vignette is based on Altham and Hankin (2012).

This is a contribution to the theory of sums of independent random variables at the level of optimal explicit inequalities: we compute the optimal constants in Hornich’s lower bounds for the mean absolute deviations of sample means. This is done by reducing the original problem to the elementary one of determining the minimally concentrated binomial distributions Bn,p with fixed sample size par...

To investigate the quantitative distribution of Plasmodiumfalciparum gametocytes into the vector bloodmeal, Anopheles arabiensis mosquitoes were fed on 3 volunteers naturally infected with gametocytes. The content of each mosquito midgut was smeared on a microscope slide and Giemsa stained. The distribution of gametocytes ingested by mosquitoes followed a negative binomial distribution, with ap...