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pro vyhledávání: '"Bowater, Russell J."'
Autor:
Bowater, Russell J.
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 inference. The aim is that the reader is given a clear summary of the
Externí odkaz:
http://arxiv.org/abs/2310.01533
Autor:
Bowater, Russell J.
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 $\theta_j$ was equal or lay close to a specified value $\theta^{*}_j$, whi
Externí odkaz:
http://arxiv.org/abs/2207.08882
Autor:
Bowater, Russell J.
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 and analogical probability. Loosely speaking, a physical probability is
Externí odkaz:
http://arxiv.org/abs/2204.10159
Autor:
Bowater, Russell J.
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 to make, allows Bayesian inference to sometimes have a minor role wit
Externí odkaz:
http://arxiv.org/abs/2111.09279
Autor:
Bowater, Russell J.
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 as well as given pointers to further reading.
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Externí odkaz:
http://arxiv.org/abs/2104.11766
Autor:
Bowater, Russell J.
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 held in practice. In particular, it generally encounters difficulty when
Externí odkaz:
http://arxiv.org/abs/2002.07966
Autor:
Bowater, Russell J.
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 equal or lay close to a specified value, which may, for example, be th
Externí odkaz:
http://arxiv.org/abs/1911.09049
Autor:
Bowater, Russell J.
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 cases where the data are discrete or categorical rather than continuo
Externí odkaz:
http://arxiv.org/abs/1901.08589
Autor:
Bowater, Russell J.
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, for instance, in Ellsberg's paradox. It attempts to answer these que
Externí odkaz:
http://arxiv.org/abs/1810.10972
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 interpreted as meaning that there is a substantial degree of prior be
Externí odkaz:
http://arxiv.org/abs/1809.02089