Hyperstatistics
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Hyperstatistics
arXiv:2604.24783v2 Announce Type: replace-cross Abstract: We propose a general approach, named by us hyperstatistics, to treat complex systems, in which Boltzmann-Gibbs statistics breaks down in domains of the system. Hyperstatistics preserves the concavity of nonadditive $q$-entropy. We obtain analytical closed-form expressions for the here proposed $q$-generalized Boltzmann factor $B_q$ considering uniform, $\gamma$, Log-normal, F, and the $q$-$\gamma$ probability distribution functions.