1 citations · 4 across the 17 of their papers we have counts for
6 papers · 1 filter
A generalised matching distribution for the problem of coincidences
Ben O'Neill
This paper examines the classical matching distribution arising in the "problem of coincidences". We generalise the classical matching distribution with a preliminary round of allo…
Mathematical properties and finite-population correction for the Wilson score interval
Ben O'Neill
In this paper we examine the properties of the Wilson score interval, used for inferences for an unknown binomial proportion parameter. We examine monotonicity and consistency prop…
Multiple Linear Regression and Correlation: A Geometric Analysis
Ben O'Neill
In this review article we consider linear regression analysis from a geometric perspective, looking at standard methods and outputs in terms of the lengths of the relevant vectors…
Decompositions for Sum-of-Power Statistics and the Sample Central Moments
Ben O'Neill
We give some useful decompositions of sum-of-powers statistics, leading to decompositions for the sample mean, sample variance, sample skewness and sample kurtosis. We solve two re…
The Permutation-Spectrum Test: Identifying Periodic Signals using the Maximum Fourier Intensity
Ben O'Neill
This paper examines the problem of testing whether a discrete time-series vector contains a periodic signal or is merely noise. To do this we examine the stochastic behaviour of th…
An examination of the generalised pooled binomial distribution and its information properties
Ben O'Neill, Angus McLure
This paper examines the statistical properties of a distributional form that arises from pooled testing for the prevalence of a binary outcome. Our base distribution is a two-param…