Article
Article name Comparative Characteristics of Nonparametric and Parameter-Integrated Weighted Average Estimates of Geoecological Measurement Data
Authors Iskenderzade E.B. doctor of technical sciences, professor, etaii@mdi.gov.az.
Rahimov E.R. candidate of technical sciences, elshan.rahimov@bhos.edu.az
Rahimov C.. candidate of economic sciences, jeyhun.rahimov@aztu.edu.az
Veliyev H.. postgraduate, veliyev.n.g.@mail.ru
Bibliographic description Iskenderzade E. B., Rahimov C. R., Rahimov E. R., Veliyev G. S. Comparative characteristics of nonparametric and parameter-integrated weighted average estimates of geoecological measurement data // Transbaikal State University Journal. 2023. Vol. 29, no. 1. Pp. 44–50. DOI: 10.21209/2227-9245-2023-29-1- 44-50.
Category Earth and Environmental Sciences
DOI 65.018
DOI 10.21209/2227-9245-2023-29-1-44-50
Article type
Annotation A significant amount of work has been devoted to the issues of weighted average assessment of geoecological measurement data. However, there are some gaps in this area in such areas as the study of: the sensitivity ratio of arithmetically and geometrically weighted average nonparametric estimates; the extreme properties of the integral of geometrically weighted average etc. Research in these areas is certainly relevant, as such studies can increase the informative value of the results of the analysis of geoecological measurements. The object of the study is parametric and nonparametric measurement data. The subject of the study is a comparative evaluation of weighted average nonparametric measurement data. The purpose of the work is to develop scientific and methodological foundations for comparative analysis of arithmetically and geometrically weighted average nonparametric measurement data, as well as to study the extreme characteristics of functionals containing, respectively, geometrically weighted average parametric geoecological measurement data and geometrically weighted average geoecological measurement data with parametric weighting coefficients. Research tasks: 1. Comparative assessment of the sensitivities of arithmetically and geometrically weighted average estimates of geoecological indicators. 2. Investigation of the extreme properties of the target functional including arithmetically weighted average estimates of parametric data, in the presence of some restrictive condition. 3. Investigation of extreme properties of geometrically weighted average estimates of geoecological data with parametric weighting coefficients, in the presence of some restrictive condition. Research results and conclusions. The condition of predominance of the sensitivity of the arithmetically weighted average estimate of the measurement data in comparison with the sensitivity using the method of geometrically weighted average estimate is calculated. Objective functionals are introduced for consideration – parameter-integrated indicators: the integral of a geometrically weighted average estimate of geoecological parametric data the integral of a geometrically weighted average estimate with parametric weighting coefficients. The analysis covers a special case when data from two sources are averaged. Using variational methods of analysis, the extreme properties of the introduced indicators are investigated.
Key words weighted average assessment, geoecological measurement data, sensitivity, optimization, functionality, environmental pollution, marine ecology, weight functions, concentration, model study
Article information
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Full articleComparative Characteristics of Nonparametric and Parameter-Integrated Weighted Average Estimates of Geoecological Measurement Data