Abstract
The notion of a hyper-random sample and its properties are formalized. We then describe ways of forming estimators of the characteristics of the hyper-random variables. We discuss in particular the existence of convergence violation of real estimators and the adequate description of these estimators using hyper-random models.
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References
Gorban, I.I.: Teoriya Gipersluchainykh Yavleniy: Phyzicheskie i Matematicheskie Osnovy (The Theory of Hyper-random Phenomena: Physical and Mathematical Basis). Naukova dumka, Kiev (2011)
Gorban, I.I.: Fenomen Statisticheskoy Ustoichivosti (The Phenomenon of Statistical Stability). Naukova dumka, Kiev (2014)
Gorban, I.I.: Sluchaynost i Gipersluchaynost (Randomness and Hyper-randomness). Naukova dumka, Kiev (2016)
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Gorban, I.I. (2017). Fundamentals of the Statistics of Hyper-random Phenomena. In: The Statistical Stability Phenomenon. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-43585-5_13
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DOI: https://doi.org/10.1007/978-3-319-43585-5_13
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-43584-8
Online ISBN: 978-3-319-43585-5
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