This paper presents theorems which can be used to obtain sufficient and minimal sufficient statistics for the two-way classification mixed model design. Using the general linear hypothesis model Y = ...

It is shown in this paper that the product family of countably many families of perfect probability measures defined on countably generated σ-fields admits a minimal sufficient statistic if and only ...

The evaluation of macroeconomic policy decisions has traditionally relied on the formulation of a specific economic model. In this work, we show that two statistics are sufficient to detect, often ...

Over the past ten years, Approximate Bayesian Computation (ABC) has become hugely popular to estimate the parameters of a model when the likelihood function cannot be computed in a reasonable amount ...

Algorithmic information theory provides a rigorous framework for quantifying the inherent complexity of data, most notably through the concept of Kolmogorov complexity. This theoretical underpinning ...