We present the axiom of weighted component fairness for the class of forest games, a generalization of component fairness introduced by Herings, Talman and van der Laan (2008) in order to characterize the average tree solution. Given a system of weights, component efficiency and weighted component fairness yield a unique allocation rule. We provide an analysis of the set of allocation rules gen...

This issue is devoted to statistics applied to decision making problems. The issue begins from consideration of methodological possibilities to construct regressions with meaningful and interpretable coefficients for individual predictors and shares of their importance. Ewa Nowakowska explores properties of the so-called Shapley value regression developed for adjusting regression coefficients w...

The γ-stable trees are random measured compact metric spaces that appear as the scaling limit of Galton-Watson trees whose offspring distribution lies in a γ-stable domain, γ ∈ (1, 2]. They form a specific class of Lévy trees (introduced by Le Gall and Le Jan in [24]) and the Brownian case γ = 2 corresponds to Aldous Continuum Random Tree (CRT). In this paper, we study fine properties of the ma...

Abstract. We give a simple method to approximate multidimensional exponentially tempered stable processes and show that the approximating process converges in the Skorokhod topology to the tempered process. The approximation is based on the generation of a random angle and a random variable with a lower dimensional Lévy measure. We then show that if an arbitrarily small normal random variable i...