3 papers
math.ST2026
Information geometry of Lévy processes and financial models
Jaehyung Choi
We develop the information geometry of Lévy processes. Deriving -divergences directly in terms of the Lévy triplets of the Lévy processes, we identify Fisher information mat…
math.DG2025
Information geometry of tempered stable processes
Jaehyung Choi
We derive the information geometry of tempered stable processes. We first compute the -divergence between two tempered stable processes. From the divergence, we obtain the Fishe…
cs.IT2025
Hyperbolic decomposition of Dirichlet distance for ARMA models
Jaehyung Choi
We investigate the hyperbolic decomposition of the Dirichlet norm and distance between autoregressive moving average (ARMA) models. With the Kähler information geometry of linear…