activity
20182025
most citedMultivariate subjective fiducial inference

6 citations · 16 across the 13 of their papers we have counts for

collaborators

13 papers

stat.OT2025

Analogy making as the basis of statistical inference

Russell J. Bowater

Standard statistical theory has arguably proved to be unsuitable as a basis for constructing a satisfactory completely general framework for performing statistical inference. For e…

stat.ME2024

Probabilistic inference when the population space is open

Russell J. Bowater

In using observed data to make inferences about a population quantity, it is commonly assumed that the sampling distribution from which the data were drawn belongs to a given param…

stat.OT2023

The fiducial-Bayes fusion: A general theory of statistical inference

Russell J. Bowater

An overview is presented of a general theory of statistical inference that is referred to as the fiducial-Bayes fusion. This theory combines organic fiducial inference and Bayesian…

stat.ME2022

Sharp hypotheses and organic fiducial inference

Russell J. Bowater

A fundamental class of inferential problems are those characterised by there having been a substantial degree of pre-data (or prior) belief that the value of a model parameter $θ_j…

stat.OT2022

Physical, subjective and analogical probability

Russell J. Bowater

The aim of this paper is to show that the concept of probability is best understood by dividing this concept into two different types of probability, namely physical probability an…

stat.OT2021

A revision to the theory of organic fiducial inference

Russell J. Bowater

A principle is modified that underlies the theory of organic fiducial inference as this theory was presented in an earlier paper. This modification, which is arguably a natural one…

stat.OT2021

A very short guide to IOI: A general framework for statistical inference summarised

Russell J. Bowater

Integrated organic inference (IOI) is discussed in a concise and informal way with the aim that the reader is given the gist of what this approach to statistical inference is about…

stat.ME2020★ 1 cited

Integrated organic inference (IOI): A reconciliation of statistical paradigms

Russell J. Bowater

It is recognised that the Bayesian approach to inference can not adequately cope with all the types of pre-data beliefs about population quantities of interest that are commonly he…

stat.OT2019★ 2 cited

Sharp hypotheses and bispatial inference

Russell J. Bowater

A fundamental class of inferential problems are those characterised by there having been a substantial degree of pre-data (or prior) belief that the value of a model parameter was…

stat.OT2019★ 3 cited

Organic fiducial inference

Russell J. Bowater

A substantial generalisation is put forward of the theory of subjective fiducial inference as it was outlined in earlier papers. In particular, this theory is extended to deal with…

stat.OT2018★ 4 cited

On a generalised form of subjective probability

Russell J. Bowater

This paper is motivated by the questions of how to give the concept of probability an adequate real-world meaning, and how to explain a certain type of phenomenon that can be found…

math.ST2018

Bayesian, classical and hybrid methods of inference when one parameter value is special

Russell J. Bowater, Ludmila E. Guzmán-Pantoja

This paper considers the problem of making statistical inferences about a parameter when a narrow interval centred at a given value of the parameter is considered special, which is…

math.ST2018★ 6 cited

Multivariate subjective fiducial inference

Russell J. Bowater

The aim of this paper is to firmly establish subjective fiducial inference as a rival to the more conventional schools of statistical inference, and to show that Fisher's intuition…