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Natural Transformations in Statistics
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Natural Transformations in Statistics

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Abstract:

The old idea of internal uniform regularity of empirical data is discussed within the framework of category theory. A new concept and technique of statistical analysis is being introduced. It is independent on and fully compatible with the classical probabilistic approach. The absence of the model in the natural approach to statistics eliminates the model error and allows to use it in all areas with poor models. The existing error is fully determined by incompleteness of the data. It is always uniformly small by the construction of the data extension.

Info:

Periodical:
International Frontier Science Letters (Volume 6)
Pages:
1-5
DOI:
https://doi.org/10.18052/www.scipress.com/IFSL.6.1
Citation:
G. V. Kondratiev, "Natural Transformations in Statistics", International Frontier Science Letters, Vol. 6, pp. 1-5, 2015
Online since:
December 2015
Authors:
Gennadii V. Kondratiev
Keywords:
Category Theory, Data, Internal Property, Invariants, Natural Extensions, Natural Transformations, Uniform Regularity
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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[3] F. Klein, Vergleichende Betrachtungen ber geometrische Forschungen, Erlanger Programm. 1872.

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[5] B. Jacobs, Categorical Logic and Type Theory. Elsevier, North-Holland, (2001).

[6] G. V. Kondratiev, A Categorical-Informational Approach to the Value Prediction Problem, Atti della Accademia Peloritana dei Pericolanti: Classe di Scienze Fisiche, Matematiche e Naturali, Vol. 91, No. 2, A3, 11 p. p., URL: http: /dx. doi. org/10. 1478/AAPP. 912A3, (2013).

DOI: https://doi.org/10.1007/bf02959921
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Cited By:

[1] G. Kondratiev, "Invariants in Optimal Control: An Exact Solution of the Optimal Stabilization Problem", Bulletin of Mathematical Sciences and Applications, Vol. 21, p. 9, 2019

DOI: https://doi.org/10.18052/www.scipress.com/BMSA.21.9