Abstract
For models of binary deterministic statistical experiments defined recursively by solutions of deterministic difference equations for probabilities of alternatives of binary states, a classification is investigated that depends on the parameter values of a guiding action that determine regression functions of probability increments for such alternatives. The classification is substantiated by limit properties of solutions to deterministic difference equations generating probabilities of alternatives.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
D. V. Korolyuk, “Binary statistical experiments with persistent nonlinear regression,” Theory of Probability and Mathematical Statistics, No. 91, 64–73 (2014).
F. Hoppensteadt, Mathematical Methods of Population Biology, Cambridge Univ. Press, Cambridge (1982).
S. N. Ethier and T. G. Kurtz, Markov Processes: Characterization and Convergence, Wiley, New York (1986).
Yu. M. Svirezhev and V. P. Pasekov, Foundations of Mathematical Genetics [in Russian], Nauka, Moscow (1982).
A. V. Skorokhod, F. Hoppensteadt, and H. Salehi, Random Perturbation Methods with Applications in Science and Engineering, Springer, New York (2000).
R. Bush and F. Mosteller, “A stochastic model with applications to learning,” The Annals of Mathematical Statistics, 24, No. 4, 559–585 (1953).
N. M. Amosov, Algorithms of the Mind [in Russian], Naukova Dumka, Kiev (1979).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 163–168, July–August, 2015.
Rights and permissions
About this article
Cite this article
Koroliouk, D.V. Classification of Binary Deterministic Statistical Experiments with Persistent Regression. Cybern Syst Anal 51, 644–649 (2015). https://doi.org/10.1007/s10559-015-9755-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-015-9755-4