It is well-known that there are a number of relations between theoretical finance theory and information theory. Some of these relations are exact and some are approximate. In this paper we will explore some of these relations and determine under which conditions the relations are exact. It turns out that portfolio theory always leads to Bregman divergences. The Bregman divergence is only propo...

On the Necessity and Sufficiency of Universals

Recently Cherchye et al. (2007a) provided a nonparametric characterization of a general collective model for household consumption which includes externalities and public consumption. This characterization involved different necessary and sufficient conditions. We identify a special case of the household model for which their sufficiency conditions are also necessary. We show that verification ...

BACKGROUND Research has shown micronutrient deficiency to be scientifically linked to a higher risk of overweight/obesity and other dangerous and debilitating diseases. With more than two-thirds of the U.S. population overweight or obese, and research showing that one-third are on a diet at any given time, a need existed to determine whether current popular diet plans could protect followers fr...

/ of an induced algebra. The general observations and the examples of correspondences presented in this paper are a first step towards development of a correspondence theory for lattices with operators. The classes of algebras considered in the paper have been introduced in [4]. They are a generalization of Boolean algebras with possibility operators introduced by [3] and Boolean algebras with ...

Many young people aging out of foster care struggle to achieve economic self-sufficiency during their transition to adulthood.1 However, these young people are also a heterogeneous population, and becoming economically self-sufficient can be more of challenge for some compared with others.2 Although prior research has looked at racial and ethnic differences in the self-sufficiency of young peop...

Abstract We consider pseudo-imperatives like Come near (and) I’ll show you, which have a conditional interpretation (‘if you come near, I’ll show you’). We show that they have basically the same semantics as Sufficiency Modal Constructions studied by von Fintel and Iatridou (2007). We provide a detailed analysis of ‘sufficiency’ in Lewis’s counterfactual framework, extending the analysis to pse...

This is an invited contribution to the discussion on Professor Deborah Mayo’s paper, “On the Birnbaum argument for the strong likelihood principle,” to appear in Statistical Science. Mayo clearly demonstrates that statistical methods violating the likelihood principle need not violate either the sufficiency or conditionality principle, thus refuting Birnbaum’s claim. With the constraints of Bir...

We explore the meaning of information about quantities of interest. Our approach is divided in two scenarios: the analysis of observations and the planning of an experiment. First, we review the Sufficiency, Conditionality and Likelihood principles and how they relate to trivial experiments. Next, we review Blackwell Sufficiency and show that sampling without replacement is Blackwell Sufficient...