# Alexandr OrlovBauman Moscow State Technical University · Department of Economics and Production

Alexandr Orlov

Doctor of Engineering

## About

68

Publications

1,983

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129

Citations

Citations since 2016

Introduction

applied statistics, decision making theory, expert estimation, mathematical methods in economics

## Publications

Publications (68)

The monograph is devoted to the organizational, economic, mathematical software of controlling, innovation and management continues to study approaches solving controlling by applying the methods described in the previously published books "Fuzzy Interval Mathematics" (Orlov A.I., Lutsenko E.V., 2014) and "Promising Mathematical and Instrumental Me...

Monograph, consisting of two interconnected parts, examines the prospects and some "growth points" of modern theoretical and computational mathematics.
1st part covers the following issues: numbers and sets - the basis of modern mathematics; mathematical, pragmatic and computer numbers; from ordinary sets to fuzzy ones; the theory of fuzzy sets an...

Monograph presents the results of the development of a new direction for the development of the digital economy - the solidarity economy. A brief description of automated system-cognitive analysis with its software tools system "Eidos" and three numerical examples of their application for solving problems for banks, insurance and retail are given....

Monograph considers high statistical technologies, problems of environmental safety provides an automated analysis of the influence of environmental factors quality of life of the population of the region.
It is intended for students, teachers and all interested in this issue.

The monograph is devoted to the organizational, economic, mathematical and software of controlling, innovation and management and continues to study approaches to solving controlling problems by applying the methods described in the previously published books "Fuzzy Interval Mathematics" (Orlov A.I., Lutsenko E.V., 2014) and "Promising Mathematical...

This article briefly reviews the classical concept of functional dependence in mathematics, determines the limitations of this concept for adequate modeling of reality and formulates the problem, consisting in search of such generalization of the concept of functions, which is more suitable for the adequate reflection of causal relationships in the...

Adequate and effective assessment of the efficiency, effectiveness and the quality of scientific activities of specific scientists and research teams is crucial for any information society and a society based on knowledge. The solution to this problem is the subject of scientometrics and its purpose. The current stage of development scientometrics...

The monograph considers the theoretical foundations of systemic fuzzy interval mathematics, the relation of the semantic content of the concepts of "data," "information" and "knowledge," the theoretical and mathematical foundations of basic, scriptural, spectral and text automated system-cognitive analysis (ASC-analysis). Numerical examples of usin...

The monograph is devoted to the problems of science and modern approaches solving. The problems of the modern stage of the development of science metrics are closely related to the problems of science and education, which are the object of research and measurement in science metrics. Those issues were therefore also raised, but only extent necessar...

This article briefly reviews the classical concept of functional dependence in mathematics, determines the limitations of this concept for adequate modeling of reality and formulates the problem, consisting in search of such generalization of the concept of functions, which is more suitable for the adequate reflection of causal relationships in the...

One of the "points of growth" of applied statistics is methods of reducing the dimension of statistical data. They are increasingly used in the analysis of data in specific applied research, such as sociology. We investigate the most promising methods to reduce the dimensionality. The principal components are one of the most commonly used methods t...

In the USSR higher attestation Commission from 1975 to the collapse of the USSR was subordinated not to the Ministry of education and science, but to the Council of Ministers of the USSR directly. However, since then there is a steady trend of grad-ual reduction of the status of the Commission. To-day it is not just included in the Ministry of educ...

The article briefly considers the prospects of some “points of growth” in the modern theoretical and computational mathematics: the numbers and sets, ie the base of modern mathematics; mathematical, pragmatic and computer numbers; from the usual sets - to unclear; the theory of fuzzy sets and “fuzzy doubling” of mathematics; the mix of fuzzy set th...

Adequate and effective assessment of the efficiency, effectiveness and the quality of scientific activities of specific scientists and research teams is crucial for any information society and a society based on knowledge. The solution to this problem is the subject of scientometrics and its purpose. The current stage of development scientometrics...

Adequate and effective assessment of the efficiency,
effectiveness and the quality of scientific activities
of specific scientists and research teams is crucial
for any information society and a society based on
knowledge. The solution to this problem is the subject
of scientometrics and its purpose. The current
stage of development scientometrics...

The monograph includes two parts. In Part 1, in 10 chapters, the theoretical foundations of systemic fuzzy interval mathematics are considered. In the 2nd part of 5 chapters, the correlation of the semantic content of the concepts "data", "information" and "knowledge", as well as the theoretical and mathematical foundations of basic, scenario, spec...

For statistics of non-numerical data, the central area is statistics in spaces of general nature (synonym - in spaces of arbitrary nature). For samples of non-numerical data, averages and laws of large numbers, statistics of integral type, non-parametric density estimates, problems of regression and discriminant analysis, etc. are considered. Funda...

Decision-making theory is an important component of mathematical and instrumental methods of economics. This article discusses some aspects of the application of decision theory in the development of complex technical systems. The main attention is paid to the methods of forming the estimated indicators and on their basis - estimates of the quality...

The new paradigm of mathematical research methods is based on the effective application of information and communication technologies both in calculating the characteristics of the methods of data analysis and in simulation modeling. Pseudo-random number generators underlie many modern data analysis technologies. To solve specific applied problems,...

The monograph considers high statistical technologies, problems of environmental safety management, provides an automated system-cognitive analysis of the impact of environmental factors on the quality of life of the population of the region.
It is intended for students, teachers and all those interested in this issue.

One of the "points of growth" of applied statistics is
methods of reducing the dimension of statistical
data. They are increasingly used in the analysis of
data in specific applied research, such as sociology.
We investigate the most promising methods to
reduce the dimensionality. The principal
components are one of the most commonly used
methods t...

The article briefly considers the prospects of some
“points of growth” in the modern theoretical and
computational mathematics: the numbers and sets, i.e. the
base of modern mathematics; mathematical, pragmatic
and computer numbers; from the usual sets - to unclear;
the theory of fuzzy sets and “fuzzy doubling” of
mathematics; the mix of fuzzy set...

In the USSR higher attestation Commission from
1975 to the collapse of the USSR was subordinated
not to the Ministry of education and science, but to
the Council of Ministers of the USSR directly.
However, since then there is a steady trend of gradual
reduction of the status of the Commission. Today
it is not just included in the Ministry of educat...

The monograph, which consists of two interrelated parts approximately equal in volume, discusses promising mathematical and instrumental methods of controlling. The 1st part, which includes 4 chapters, is devoted to high statistical technologies in controlling. It reveals the following questions: what is controlling, controlling methods, a General...

The monograph, which consists of two interrelated parts, discusses the prospects and some "points of growth" of modern theoretical and computational mathematics. The 1st part covers the following issues: numbers and sets - the basis of modern mathematics; mathematical, pragmatic and computer numbers; from ordinary sets - to fuzzy; theory of fuzzy s...

Intuitively everyone understands that noise is a signal
in which there no information is, or which in practice
fails to reveal the information. More precisely, it is
clear that a certain sequence of elements (the number)
the more is the noise, the less information is contained
in the values of some elements on the values of others.
It is even stran...

The monograph is devoted to the problems of scientometrics and modern approaches to their solution. Problems of the modern stage of scientometrics development
closely related to the problems of science and education, which are the object of research and measurement in scientometrics. Because of these problems
also affected, but only to the extent t...

The monograph presents the results of the development
a new direction in the development of the digital economy is the solidarity economy. A brief description of the automated system-cognitive analysis with its software tools of intellectual system is given
"Eidos" and provides three numerical examples of their application to solve problems for ban...

The monograph is devoted to organizational and economic, mathematical-
and the software controlling, innovation and management-
ment and continues the study of approaches to the solution of problems of controlling by applying the methods described in the previously released books "the System fuzzy interval mathematics" (Orlov A. I., Lutsenko E. V.,...

Orlov A. I., Lutsenko E. V.
O-66 System fuzzy interval mathematics. Monograph (scientific publication). – Krasnodar, Kuban State Agrarian University. 2014. - 600 p.
The monograph, which consists of two interrelated parts, discusses the prospects and some "points of growth" of modern theoretical and computational mathematics.
The 1st part covers t...

We consider the problem of restoring a nonparametric dependence described by the sum of linear trend and seasonal component, i.e., a periodic function with the known period. We obtain the asymptotic distribution of the parameter estimates and the trend component. We find the mathematical expectation of the residual sum of squares. We also develop t...

In the USSR higher attestation Commission from 1975 to the collapse of the USSR was subordinated not to the Ministry of education and science, but to the Council of Ministers of the USSR directly. However, since then there is a steady trend of grad-ual reduction of the status of the Commission. To-day it is not just included in the Ministry of educ...

Intuitively everyone understands that noise is a signal in which there no information is, or which in practice fails to reveal the information. More precisely, it is clear that a certain sequence of elements (the number) the more is the noise, the less information is contained in the values of some elements on the values of others. It is even stran...

This article briefly reviews the classical concept of
functional dependence in mathematics, determines the
limitations of this concept for adequate modeling of
reality and formulates the problem, consisting in search
of such generalization of the concept of functions, which
is more suitable for the adequate reflection of causal
relationships in the...

In many applied problems, one makes use of the time series (or stochastic process) y(t )= x(t )+ e(t), where x(t )i s a deterministic periodic function of the time t ,t hat is,x(t )= x(t +T ), whose minimal period is equal to T ,w hereT is the period length (the minimal possible), and e(t) is the random \noise" that distorts the periodical signal....

In practical use of methods of applied statistics we do not apply separate methods for describing data, estimation, testing hypotheses, but we must use deployed whole procedures - the so-called "statistical technology". The concept of "statistical technology" is similar to the concept of "technological process" in the theory and practice of organiz...

The problem of evaluating the closeness of limit statistic distributions and distributions of samples of finite size is considered. Emphasis is placed on the passage to the limit for exact formulas of prelimit distributions and on the use of statistical test methods (Monte Carlo). "Bottlenecks" in this field of statistical research are discussed.

A general statement of the asymptotic behavior (for a growing sample size) of solutions of extremum statistical problems handled by methods of applied mathematical statistics is formulated. The special case of application to the least-squares method is discussed.

This paper continues previous papers devoted to the realistic (interval) statistics. It is assumed that the input data are
distorted by measurement errors, and the greatest possible errors are known. This paper deals with the influence of measurement
errors on regression, cluster, and discriminant analysis.

To take account of influence of the measurement errors on the statistical procedures it is supposed in realistic statistics
that statistical data are specified not by numbers but by intervals. The present, paper is the continuation of [–4]. We give
a summary of the main assumptions of realistic statistics. We also suggest some rules of confidence e...

This article is published to stimulate discussion. The methodologic questions are emphasized, and the mathematical results
are very simple and play a mere illustrative role.
Results of observations processed by means of statistical procedures contain errors. In this paper we discuss some preliminary
assumptions whose aim is to study the influence...

We study the stability of maximal likelihood estimates and estimates of the method of moments in relation to small independent errors added to gamma-distributed random variables. We show the inconsistency of the estimates. We establish the "rational sample size," exceeding which does not give essential improvement in the accuracy of estimation. We...

## Projects

Projects (4)

This project contains the works of Professor Evgeny Veniaminovich Lutsenko in English.