How can they be used to create different views of the data?

Proofs are omitted for brevity. Keywords: differential geometry; metric tensor; affine connection; metric compatibility; conjugate connections; dual metric- ... Feb 13, 2016 ... an affine structure model of the state variables. If the matrix of ... informational content of the term spread (actual or fitted) in ... Most commonly, the conditional mean of the response given the values of the explanatory variables (or predictors) is assumed to be an affine function of ... Optimal singular dividend control with capital injection and affine penalty payment at ruin. Probability in the Engineering and Informational Sciences, 37(2), ... is affine in π, and vδ(·) is weakly convex, this equality holds on a closed interval Ja(δ). Also, action 1 is myopically strictly optimal when π = 0. Since it ... We focus on Gaussian no-arbitrage affine term structure models (ATSMs), which are perhaps the most prominent tool for modeling the term structure of interest ... Jan 14, 2025 ... We investigate oil price expectations obtained from (i) a Gaussian affine term structure ... Informational frictions and commodity markets. The. Apr 21, 2020 ... ... affine, Lipschitz. Continuous, and convex. Moreover, any such representation of Б is unique up to a positive affine transformation. The proof ... 2, we show that Example 2(b) is not degenerate and provide an infinite set of (affine) cost functions for which IBP occurs in this network. Similar to ... Dec 21, 2023 ... Since the notion of dual affine connections was applied to statistics, information geometry has rapidly developed. In particular, a ...