Journal ArticleDOI
Majorisation, randomness and some discrete distributions
Reads0
Chats0
TLDR
In this paper, the effect on degree of randomness of a change in parameter value is investigated for some distributions including the binomial and Poisson, and the effect of such changes on informativeness is discussed.Abstract:
Majorisation is used to compare discrete distributions in terms of randomness or, equivalently, informativeness. Some properties of measures of randomness are discussed. The effect on degree of randomness of a change in parameter value is investigated for some distributions including the binomial and Poisson.read more
Citations
More filters
Journal ArticleDOI
Noise modelling and evaluating learning from examples
TL;DR: The nature of noise in the model is discussed and modelled using information-theoretic ideas especially that of majorisation and it is shown that increasing noise has a detrimental effect on learning.
Journal ArticleDOI
Concepts of dispersion in distributions: a comparative note
TL;DR: On compare l'approche de Lewis-Thompson (1981) a l'ordre de dispersion obtenu par majorisation, we compare the approach of.
Journal ArticleDOI
Continuous majorisation and randomness
TL;DR: In this article, general results on randomness in the continuous case are given and these are used to investigate the connection between randomness and parameter values in some well-known families of distributions including the normal and gamma.
Book ChapterDOI
Artificial Universes - Towards a Systematic Approach to Evaluation Algorithms which Learn form Examples
TL;DR: The use of information theory concepts (including the primitive notion of majorisation) to model noise in the domain and to provide measures for the universe is described, and the notions of accuracy and efficiency of an induced rule are defined.
Journal ArticleDOI
Some majorization orderings of heterogeneity in a class of epidemics
TL;DR: In this paper, the authors apply the theory of majorization to investigate the effects of heterogeneity in a class of epidemics, in particular the heterogeneity of the components of the contact vector of a given susceptible.
References
More filters
Journal ArticleDOI
The Mathematical Theory of Communication
TL;DR: The theory of communication is extended to include a number of new factors, in particular the effect of noise in the channel, and the savings possible due to the statistical structure of the original message anddue to the nature of the final destination of the information.
Journal ArticleDOI
A note on the measurement of randomness
TL;DR: In this article, the properties of a measure of randomness on the class of discrete probability distributions are discussed and a result concerning finiteness is obtained for a family of measures which includes the entropy function.