Technology for constructing regression equations for a small sample of passive experiment data

Content type:Original research

Published: 24-07-2021

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The object of research is

Technology for constructing mathematical models of functioning systems

The aim of research is to

Development of a procedure for estimating regression equation parameters for a small data sample

Paper title

Technology for constructing regression equations for a small sample of passive experiment data

Keywords

mathematical model, regression equation, passive experiment, artificial orthogonalization, replica-like symmetric orthogonal design, multi-index mathematical programming problem

Main scientific results imply the following

A procedure is proposed for transforming a passive experiment into an active one and forming, if necessary, a replica-like orthogonal representative subdesign, which allows for independent elimination of insignificant factors and interactions

Scope of application

Development of new materials, technologies, solving diagnostic problems in engineering, medicine, economics, forecasting of economic, social systems

Limitations for practical use

Input variables must be deterministic, output variables must be random variables subject to the Gaussian distribution

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