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2019 | OriginalPaper | Chapter

Estimation of the Probability of Inversion in the Test of Variable Dependencies

Authors : Mariusz Czekała, Agnieszka Bukietyńska, Agnieszka Matylda Schlichtinger

Published in: Information Systems Architecture and Technology: Proceedings of 39th International Conference on Information Systems Architecture and Technology – ISAT 2018

Publisher: Springer International Publishing

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Abstract

In the present work, the distribution of the number of inversions has been considered. This constitutes a generalization of the distribution used in the Kendall test. Explicit formulas have been given for the calculation of the first two moments of the distribution of the number of inversions. In addition, proposal for the estimation of the probability of inversion has been provided. The proposed estimator, based on the monotonicity of the expected value, is an unbiased estimator.

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Literature
1.
Bukietyńska, A.: The test of inversion in the analysis of investment funds. Cent. East. Eur. J. Manag. Econ. 5(3), 277–289 (2017)
2.
Bukietyńska, A., Czekała, M., Kłosowski, J.: Analiza ankiet o innowacyjności z cechami na skali porządkowej – test istotności. In: Presented speech, III Konferencja Naukowa “W kierunku zarządzania procesowego organizacją – trendy i wyzwania”, Uniwersytet Szczeciński (2018)
3.
Bukietyńska, A., Czekała, M., Wilimowska, Z., Wilimowski, M.: The inversion test of the investment funds efficiency measures. In: Information Systems Architecture and Technology: Proceedings of 38th International Conference on Information Systems Architecture and Technology – ISAT 2017 – Part III, Springer (2017)
4.
Czekała, M., Bukietyńska, A.: Distribution of inversions and the power of the Kendall’s test. In: Information Systems Architecture and Technology: Proceedings of 37th International Conference on Information Systems Architecture and Technology – ISAT 2016 –Part III, Springer (2017)
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Feller, W.: An Introduction to Probability Theory and Its Application. Wiley, New York (1961)
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Kendall, M.G., Buckland, W.R.: A Dictionary of Statistical Terms. Oliver and Boyd, Edinburgh (1960)MATH
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Netto, E.: Lehrbuch der Combinatorik, 2nd edn., p. 96. Teubner, Leipzig (1927)MATH
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Schlichtinger, A.M.: On the Epigenetic Factors of Ageing of Organisms; Noumenology of Biological Changes; Theoretical Model of Ageing. Doctoral dissertation. State of New Jersey (2017)
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Data related to sales obtained from MG4 Company
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Metadata
Title
Estimation of the Probability of Inversion in the Test of Variable Dependencies
Authors
Mariusz Czekała
Agnieszka Bukietyńska
Agnieszka Matylda Schlichtinger
Copyright Year
2019
Book
Information Systems Architecture and Technology: Proceedings of 39th International Conference on Information Systems Architecture and Technology – ISAT 2018

Print ISBN: 978-3-319-99992-0

Electronic ISBN: 978-3-319-99993-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-99993-7_14

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