Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online's data policy on reuse of materials please consult the policies page. Exponential families are the workhorses of parametric modelling theory. One reason for their popularity is their… (More)
Di¤erential geometry has found fruitful application in statistical inference. In particular, Amari's (1990) expected geometry is used in higher order asymptotic analysis, and in the study of su¢ciency and ancillarity. However, we can see three drawbacks to the use of a di¤erential geometric approach in econometrics and statistics more generally. Firstly,… (More)
This paper lays the foundations for a new framework for numerically and computationally applying information geometric methods to statistical modelling.
This paper lays the foundations for a unified framework for numerically and computationally applying methods drawn from a range of currently distinct geometrical approaches to statistical modelling. In so doing, it extends information geometry from a manifold based approach to one where the simplex is the fundamental geometrical object, thereby allowing… (More)
This paper applies the tools of computation information geometry  – in particular, high dimensional extended multinomial families as proxies for the 'space of all distributions' – in the inferentially demanding area of statistical mixture modelling. A range of resultant benefits are noted.
This whitepaper is designed to provide a basic understanding of the main concepts of the DO-254 compliance specification for electronic component design. It outlines the major steps involved in a DO-254 compliant ASIC/FPGA design and verification process, and explains how differentiating tool features can be mapped to enhance and facilitate critical stages… (More)
A new class of local mixture models called local scale mixture models is introduced here. This class is particularly suitable for the analysis of mixtures of the negative exponential distribution. The affine structure revealed by specific asymptotic expansions is the motivation for the construction of these models. They are shown to have very nice… (More)