1 citations · 4 across the 17 of their papers we have counts for
17 papers
Quantile-stratified sampling for multivariate normal simulations and other multivariate distributions
Ben O'Neill
In this paper we show how to extend quantile-stratified sampling to produce simulations from various multivariate distributions. These simulations have desirable space-filling and…
One-dimensional quantile-stratified sampling and its application in statistical simulations
Ben O'Neill
In this paper we examine quantile-stratified samples from a known univariate probability distribution, with stratification occurring over a partition of the quantile regions in the…
Directional Gaussian hypergeometric beta distributions and their uses in contaminated binary sampling
Ben O'Neill
We examine the Gaussian hypergeometric beta distribution and look at the effect of having an additional term in the density kernel relative to the standard beta distribution. We re…
Unifying design-based and model-based sampling theory -- some suggestions to clear the cobwebs
Ben O'Neill
This paper gives a holistic overview of both the design-based and model-based paradigms for sampling theory. Both methods are presented within a unified framework with a simple con…
An exposition of possibility and probability
Ben O'Neill
This paper considers the notion of possible events which are insignificant in probabilistic analysis (i.e. events that have zero probability). The paper discusses the method of mod…
Smallest covering regions and highest density regions for discrete distributions
Ben O'Neill
This paper examines the problem of computing a canonical smallest covering region for an arbitrary discrete probability distribution. This optimisation problem is similar to the cl…
Computing highest density regions for continuous univariate distributions with known probability functions
Ben O'Neill
We examine the problem of computing the highest density region (HDR) in a computational context where the user has access to a density function and quantile function for the distri…
Binomial Prediction Using the Frequent Outcome Approach
Ben O'Neill
Within the context of the binomial model, we analyse sequences of values that are almost-uniform and we discuss a prediction method called the frequent outcome approach, in which t…
Three Distributions in the Extended Occupancy Problem
Ben O'Neill
The classical and extended occupancy distributions are useful for examining the number of occupied bins in problems involving random allocation of balls to bins. We examine the ext…
The distribution of order statistics under sampling without replacement
Ben O'Neill
This paper examines the distribution of order statistics taken from simple-random-sampling without replacement (SRSWOR) from a finite population with values 1,...,N. This distribut…
An examination of the negative occupancy distribution and the coupon-collector distribution
Ben O'Neill
We examine the negative occupancy distribution and the coupon-collector distribution, both of which arise as distributions relating to hitting times in the extended occupancy probl…
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…