1 citations · 4 across the 17 of their papers we have counts for
7 papers · 1 filter
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…