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pro vyhledávání: '"O'Neill, Ben"'
Autor:
O'Neill, Ben
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 consistent notation, and the differences in the two paradigms are explain
Externí odkaz:
http://arxiv.org/abs/2408.13453
Autor:
O'Neill, Ben
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 modal logic based on "possible worlds" and discusses a mathematical frame
Externí odkaz:
http://arxiv.org/abs/2211.03060
Autor:
O'Neill, Ben
Publikováno v:
Computational Statistics 37(3), pp. 1229-1254 (2022)
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 classical 0-1 knapsack problem, but it involves optimisation over a set
Externí odkaz:
http://arxiv.org/abs/2211.02203
Autor:
O'Neill, Ben
Publikováno v:
Computational Statistics 37(2), pp. 613-649 (2022)
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 distribution (e.g., in the statistical language R). We examine several commo
Externí odkaz:
http://arxiv.org/abs/2211.02202
Autor:
O'Neill, Ben
Publikováno v:
The Mathematical Scientist 37(2), pp. 106-121 (2012)
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 the outcome that has occurred the most in the observed trials is the mo
Externí odkaz:
http://arxiv.org/abs/2209.13950
Autor:
O'Neill, Ben
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 extended occupancy problem by framing it as a Markov chain and deriving t
Externí odkaz:
http://arxiv.org/abs/2209.02220
Autor:
O'Neill, Ben
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 distribution is a shifted version of the beta-binomial distribution, parameteri
Externí odkaz:
http://arxiv.org/abs/2207.00270
Autor:
O'Neill, Ben
We examine a family of discrete probability distributions that describes the "spillage number" in the extended balls-in-bins model. The spillage number is defined as the number of balls that occupy their bins minus the total number of occupied bins.
Externí odkaz:
http://arxiv.org/abs/2201.03126
Autor:
O'Neill, Ben
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 problem. These distributions constitute a full solution to a generalised ve
Externí odkaz:
http://arxiv.org/abs/2201.03122
Autor:
O'Neill, Ben
This paper examines the classical matching distribution arising in the "problem of coincidences". We generalise the classical matching distribution with a preliminary round of allocation where items are correctly matched with some fixed probability,
Externí odkaz:
http://arxiv.org/abs/2112.12442