An EM algorithm is derived for kappa distribution parameter estimation by modeling inverse temperature as a latent variable in the Beck-Cohen superstatistics framework, yielding closed-form E and M steps.
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A mapping between superstatistical temperature and fundamental temperature makes their expectation values coincide, enabling direct computation of the inverse temperature distribution for the q-canonical ensemble without Laplace inversion.
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Parameter estimation for kappa distributions using the EM algorithm in the superstatistical framework
An EM algorithm is derived for kappa distribution parameter estimation by modeling inverse temperature as a latent variable in the Beck-Cohen superstatistics framework, yielding closed-form E and M steps.
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Fundamental temperature in the superstatistical description of non-equilibrium steady states
A mapping between superstatistical temperature and fundamental temperature makes their expectation values coincide, enabling direct computation of the inverse temperature distribution for the q-canonical ensemble without Laplace inversion.