Moduli spaces of left-invariant statistical structures are introduced and computed on three Lie groups with unique left-invariant metrics, yielding classifications of conjugate-symmetric and dually-flat structures.
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Determines the GL(n,R)-invariant and Isom-invariant statistical connections on the centered Gaussian model and describes the corresponding moduli spaces under two categorical equivalence relations.
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The moduli spaces of left-invariant statistical structures on Lie groups
Moduli spaces of left-invariant statistical structures are introduced and computed on three Lie groups with unique left-invariant metrics, yielding classifications of conjugate-symmetric and dually-flat structures.
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Invariant statistical connections on the multivariate centered Gaussian model and their moduli spaces
Determines the GL(n,R)-invariant and Isom-invariant statistical connections on the centered Gaussian model and describes the corresponding moduli spaces under two categorical equivalence relations.