| 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.azRahimov C.. candidate of economic sciences, jeyhun.rahimov@aztu.edu.azVeliyev 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 |
|
| References |
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| Full article | Comparative Characteristics of Nonparametric and Parameter-Integrated Weighted Average Estimates of Geoecological Measurement Data |
