APPLICATION OF THE KERNEL PROBABILITY DENSITY ESTIMATE
TO SOLVE THE PROBLEM OF CLASSIFICATION
OF THE TECHNICAL CONDITION OF COMPLEX SYSTEMS 

Andrey V. Zayara, Candidate of technical sciences, senior research fellow of the research department, Military Innovative Technopolis "ERA" (41 Pionersky avenue, Anapa, Russia), E-mail: zaw1966@mail.ru
Vladimir P. Fandeev, Doctor of technical sciences, professor, lecturer of the sub-department of general professional disciplines, Branch of the Military Academy of Logistics named after Army General A.V. Khrulev in Penza (Military town, Penza, Russia), Е-mail: fandeevVP@mail.ru

Background. In order to increase the versatility of modeling in the process of recognizing the technical condition of a complex system, a solution to the problem of its statistical classification is proposed. Materials and methods. Belonging of the current state to a certain class is estimated by confirming the hypothesis using a decision function based on the concept of "inductive behavior". Results and conclusions. Confirmation is carried out by estimating the probability of the current parameters of the object falling into a two-dimensi parallelepiped of the joint density function, determined using the method of kernel probability density estimation.

statistical classification, technical condition, kernel probability density estimate, decision function, inductive behavior, two-dimensional density function

Zayara A.V., Fandeev V.P. Application of the kernel probability density estimate to solve the problem of classification of the technical condition of complex systems. Nadezhnost' i kachestvo slozhnykh sistem = Reliability and quality of complex systems. 2025;(1):117–125. (In Russ.). doi: 10.21685/2307-4205-2025-1-15