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Title of Article

RESTORATION OF MULTIMODAL PROBABILITY DENSITY FUNCTIONS FROM EXPERIMENTAL DATA IN STRUCTURES WITH STOCHASTIC PROPERTIES


Issue
1
Date
2014

Article type
scientific article
UDC
519.213
Pages
248-256
Keywords
dynamic system, stability, quasi-invariant control, numerical simulation


Authors
Kulikov V.B.
Nizhegorodskiy gosudarstvennyy tekhnicheskiy universitet im. R.E. Alekseeva


Abstract
The restoration of probability density functions for main indicators in immunology is considered. The human im- mune system is described in terms of a stochastic process. An approximate solution of the Fredholm integral equation of the first kind is taken as an identifiable probability distribution. The regularization of the mentioned inverse problem is applied to the family of smooth (trigonometric) functions from volume-limited samples of clinical analyses. The pro- posed approach allows successful restoration of multimodal probability density functions and is universal in the field of natural sciences.

File (in Russian)