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Article overview
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Causal statistical modeling and calculation of distribution functions of classification features | | Uwe Petersohn
; Thomas Dedek
; Sandra Zimmer
; Hans Biskupski
; | | Date: |
19 Dec 2019 | | Abstract: | Statistical system models provide the basis for the examination of various
sorts of distributions. Classification distributions are a very common and
versatile form of statistics in e.g. real economic, social, and IT systems. The
statistical distributions of classification features can be applied in
determining the a priori probabilities in Bayesian networks. We investigate a
statistical model of classification distributions based on finding the critical
point of a specialized form of entropy. A distribution function for
classification features is derived, with the two parameters $n_0$, minimal
class, and $ar{N}$, average number of classes. Efficient algorithms for the
computation of the class probabilities and the approximation of real frequency
distributions are developed and applied to examples from different domains. The
method is compared to established distributions like Zipf’s law. The majority
of examples can be approximated with a sufficient quality ($3-5\%$). | | Source: | arXiv, 1912.9334 | | Services: | Forum | Review | PDF | Favorites | |
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