This paper studies stochastic games on large graphs and their graphon limits. We propose a new formulation of based single typical player’s label-state distribution. In contrast, other recently proposed models work directly with continuum players, which involves serious measure-theoretic technicalities. fact, by viewing the label as component state process, we show in our that are special case ...

It has been shown recently that Transductive Confidence Machine (TCM) is automatically well-calibrated when used in the on-line mode and provided that the data sequence is generated by an exchangeable distribution. In this paper we strengthen this result by relaxing the assumption of exchangeability of the data-generating distribution to the much weaker assumption that the data agrees with a gi...

Hierarchical models for L studies, domains or experiments often assume that the study means have a common normal population distribution. However, modeling normal sampling distributions with a normal population distribution may overstate the level of exchangeability of the studies. Using heavy tailed population distributions, in particular t distributions, provide some protection from combining...

SUMMARY We present SBMLToolbox, a toolbox that facilitates importing and exporting models represented in the Systems Biology Markup Language (SBML) in and out of the MATLAB environment and provides functionality that enables an experienced user of either SBML or MATLAB to combine the computing power of MATLAB with the portability and exchangeability of an SBML model. SBMLToolbox supports all le...

With reference to risk adjusted premium principle, in this paper we study excess of loss reinsurance with reinstatements in the case in which the aggregate claims are generated by a discrete distribution. In particular, we focus our study on conditions ensuring feasibility of the initial premium, for example with reference to the limit on the payment of each claim. Comonotonic exchangeability s...

Recent advances in Monte Carlo methods allow us to revisit work by de Finetti who suggested the use of approximate exchangeability in the analyses of contingency tables. This paper gives examples of computational implementations using Metropolis Hastings, Langevin and Hamiltonian Monte Carlo to compute posterior distributions for test statistics relevant for testing independence, reversible or ...

Cumulants linearize convolution of measures. We use a formula of Good to define noncommutative cumulants in a very general setting. It turns out that the essential property needed is exchangeability of random variables. Roughly speaking the formula says that cumulants are moments of a certain “discrete Fourier transform” of a random variable. This provides a simple unified method to understand ...