State-Space Approaches for Modelling and Control in Financial Engineering
Systems theory and machine learning methods
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Beschreibung
The book conclusively solves problems associated with the control and estimation of nonlinear and chaotic dynamics in financial systems when these are described in the form of nonlinear ordinary differential equations. It then addresses problems associated with the control and estimation of financial systems governed by partial differential equations (e.g. the Black–Scholes partial differential equation (PDE) and its variants). Lastly it an offers optimal solution to the problem of statistical validation of computational models and tools used to support financial engineers in decision making.
The application of state-space models in financial engineering means that the heuristics and empirical methods currently in use in decision-making procedures for finance can be eliminated. It also allows methods of fault-free performance and optimality in the management of assets and capitals and methods assuring stability in the functioning of financial systems to be established.
Covering the following key areas of financial engineering: (i) control and stabilization of financial systems dynamics, (ii) state estimation and forecasting, and (iii) statistical validation of decision-making tools, the book can be used for teaching undergraduate or postgraduate courses in financial engineering. It is also a useful resource for the engineering and computer science community
The book conclusively solves problems associated with the control and estimation of nonlinear and chaotic dynamics in financial systems when these are described in the form of nonlinear ordinary differential equations. It then addresses problems associated with the control and estimation of financial systems governed by partial differential equations (e.g. the Black–Scholes partial differential equation (PDE) and its variants). Lastly it an offers optimal solution to the problem of statistical validation of computational models and tools used to support financial engineers in decision making.
The application of state-space models in financial engineering means that the heuristics and empirical methods currently in use in decision-making procedures for finance can be eliminated. It also allows methods of fault-free performance and optimality in the management of assets and capitals and methods assuring stability in the functioning of financial systems to be established.
Coveringthe following key areas of financial engineering: (i) control and stabilization of financial systems dynamics, (ii) state estimation and forecasting, and (iii) statistical validation of decision-making tools, the book can be used for teaching undergraduate or postgraduate courses in financial engineering. It is also a useful resource for the engineering and computer science community
Presents new findings useful for academic teaching and research and to develop systematic methods for management and risk minimization in financial systems Solves in a conclusive manner problems associated with the control and stabilization of nonlinear and chaotic dynamics in financial systems Contains innovative results in control and estimation problems for financial systems and for statistical validation of computational tools used for financial decision making Includes supplementary material: sn.pub/extras
Autor*in
Gerasimos G. Rigatos
Themen in »State-Space Approaches for Modelling and Control in Financial Engineering«
Intelligent Systems Financial Systems Dynamics Systems Theory Machine Learning Stability Concepts Nonlinear Control Nonlinear Estimation Nonlinear Optimal Control Nonlinear Kalman Filtering Detection of Option Mispricing complexity