Complex-Valued Modeling in Economics and Finance [electronic resource] /
Svetunkov, Sergey.author.
Complex-Valued Modeling in Economics and Finance outlines the theory, methodology, and techniques behind modeling economic processes using complex variables theory.  The theory of complex variables functions is widely used in many scientific fields, since work with complex variables can appropriately describe different complex real-life processes.  Many economic indicators and factors reflecting the properties of the same object can be represented in the form of complex variables. By describing the relationship between various indicators using the functions of these variables, new economic and financial models can be created which are often more accurate than the models of real variables.  This book pays critical attention to complex variables production in stock market modeling, modeling illegal economy, time series forecasting, complex auto-aggressive models, and economic dynamics modeling.  Very little has been published on this topic and its applications within the fields of economics and finance, and this volume appeals to graduate-level students studying economics, academic researchers in economics and finance, and economists.
Description based upon print version of record.
Complex-Valued Modeling in Economics and Finance; Preface; Contents; Chapter 1: Theoretical Basis of Complex Economy; 1.1 Complex Economies as a New Branch of Economics and Mathematical Simulation; 1.2 Basic Concepts of the TFCV; 1.3 Axiomatic Core of the Theory of the Complex Economy; 1.4 Basic Model of a Complex Economy; 1.5 Some Data on Minkowsky ́s Geometry; 1.6 Laplace Transform; References; Chapter 2: Properties of Complex Numbers of a Real Argument and Real Functions of a Complex Argument; 2.1 General Problem of Conformal Mapping in Complex-Valued Economics
2.2 Complex Functions of a Real Argument2.3 Functions of a Complex Argument: Linear Function; 2.4 Power Function of a Complex Argument with a Real Exponent; 2.5 Exponential Function of Complex Argument with Imaginary Exponent; 2.6 Power Function of Complex Argument with Complex Exponent; 2.7 Exponential Function of a Complex Argument; 2.8 Logarithmic Function of a Complex Argument; Reference; Chapter 3: Conformal Mappings of Functions of a Complex Variable; 3.1 Power Functions of a Complex Variable; 3.2 Exponential Functions of Complex Variables; 3.3 Logarithmic Functions of Complex Variables
3.4 Zhukovsky ́s Function and Trigonometric Complex FunctionsReferences; Chapter 4: Principles of Complex-Valued Econometrics; 4.1 Statistics of Random Complex Value: Standard Approach; 4.2 Method of Least Squares of Complex Variables: Standard Approach; 4.3 Correlation Analysis of Complex Variables: Contradictions of the Standard Approach; 4.4 Consistent Axioms of the Theory of Mathematical Statistics of Random Complex Variables; 4.5 Least-Squares Method from the Point of View of the New Axiomatic Theory; 4.6 Complex Pair Correlation Coefficient
4.7 Interpretation of Values of Complex Pair Correlation Coefficient4.8 Assessments of Parameters of Nonlinear Econometric Models of Complex Variables; 4.9 Assessment of Confidence Limits of Selected Values of Complex-Valued Models; 4.10 Balancing Factor in Evaluating the Adequacy of Econometric Models; References; Chapter 5: Production Functions of Complex Argument; 5.1 Fundamentals of Production Functions of a Complex Argument; 5.2 Linear Complex-Valued Model of a Complex Argument and Multicollinearity; 5.3 Linear Production Function of a Complex Argument; 5.4 Power Production Function
5.5 Exponential Production Function of Complex Argument5.6 Logarithmic Production Function of Complex Argument; 5.7 Summary; References; Chapter 6: Production Functions of Complex Variables; 6.1 General Provisions of the Theory of Production Functions with Complex Variables; 6.2 Linear Production Function of Complex Variables; 6.3 Model of Power Production Function of Complex Variables with Real Coefficients; 6.4 Power Production Complex-Valued Functions with Real Coefficients of the Diatom Plant and Russian Industry
6.5 Coefficients of Elasticity of the Complex Exponential Production Function with Real Coefficients
Includes bibliographical references.
Complex-Valued Modeling in Economics and Finance outlines the theory, methodology, and techniques behind modeling economic processes using complex variables theory.  The theory of complex variables functions is widely used in many scientific fields, since work with complex variables can appropriately describe different complex real-life processes.  Many economic indicators and factors reflecting the properties of the same object can be represented in the form of complex variables. By describing the relationship between various indicators using the functions of these variables, new economic and financial models can be created which are often more accurate than the models of real variables.  This book pays critical attention to complex variables production in stock market modeling, modeling illegal economy, time series forecasting, complex auto-aggressive models, and economic dynamics modeling.  Very little has been published on this topic and its applications within the fields of economics and finance, and this volume appeals to graduate-level students studying economics, academic researchers in economics and finance, and economists.
Macroeconomics.
Business.
Management science.
Econometrics.
Economics.
Macroeconomics/Monetary Economics//Financial Economics.
Business and Management, general.
Econometrics.
Economics, general.