Even simple examples of finite mixture models can fail to fulfil the regularity conditions that
are routinely assumed in standard parametric inference problems. Many methods have …

Abstract Analysis of the insurance data has recently been achieved considerable attention
for insurance industries. This paper introduces the contaminated exponential (CE) …

Supplementary Material to “On the Geometry of Bayesian Inference”. The online
supplementary materials include the counterparts of the data examples in the paper for the …

Exponential families are the workhorses of parametric modelling theory. One reason for their
popularity is their associated inference theory, which is very clean, both from a theoretical …

We consider the space of $ w $-mixtures which is defined as the set of finite statistical
mixtures sharing the same prescribed component distributions closed under convex …

The presence of lower and upper outliers in the dataset may cause misleading inferential
conclusions in the applied statistical problems. This paper introduces the three-component …

In this paper we study ideals arising from moments of local Dirac measures and their
mixtures. We provide generators for the case of first order local Diracs and explain how to …

Mixture models provide a natural framework for unobserved heterogeneity in a population.
They are widely applied in astronomy, biology, engineering, finance, genetics, medicine …

We start with applying two methods to derive formulas of a mixture of exponential process,
ie, a renewal process whose inter-arrival time follows a mixture of exponentials. Further …

One of the main themes in the field of algebraic statistics is the application of algebraic tools
to statistics. More concretely, methods from combinatorial and computational algebra and …