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Hierarchical Low-rank Structure of Parameterized Distributions
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Hierarchical Low-rank Structure of Parameterized Distributions
classification
math.NA
cs.NAmath.STstat.TH
keywords
distributionsfamilieshierarchicallow-rankstructurebinomialboundconfirm
abstract
This note shows that the matrix forms of several one-parameter distribution families satisfy a hierarchical low-rank structure. Such families of distributions include binomial, Poisson, and $\chi^2$ distributions. The proof is based on a uniform relative bound of a related divergence function. Numerical results are provided to confirm the theoretical findings.
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