Showing results for "Nonlinear Statistical Models German"

Human movement variability can be defined as the typical variations that are present in motor performance and are observed across multiple repetitions of a task. This variability is inherent within all biological systems. It can also be observed easily as it is almost impossible for an individual, even an elite performer, to perform two identical actions of the same task. Nonlinear Analysis for Human Movement Variability, Second edition presents a different approach to studying hu...

Nonlinear models have been used extensively in the areas of economics and finance. Recent literature on the topic has shown that a large number of series exhibit nonlinear dynamics as opposed to the alternative--linear dynamics. Incorporating these concepts involves deriving and estimating nonlinear time series models, and these have typically taken the form of Threshold Autoregression (TAR) models, Exponential Smooth Transition (ESTAR) models, and Markov Switching (MS) models, among sever...

This book aims to explore the scale invariance present in certain nonlinear dynamical systems. We will discuss both ordinary differential equations (ODEs) and discrete-time maps. The loss of predictability in the temporal evolution of nearby initial conditions, and the resulting exponential divergence of their trajectories in phase space, leads to the concept of chaos. Some observables studied in nonlinear systems exhibit characteristics that can be described through scaling laws, giving r...

This book contains select chapters on topics related to nonlinear dynamics and functional analysis and their applications in quantum transport, carbon nanotubes, approximation theory, fixed point theory, quantum functional calculus, renewable natural resources, dynamic optimal control model and optimal control analysis. It focuses on bridging the gap between recent trends of interdisciplinary research in nonlinear dynamics and functional analysis. This book helps researchers, scientists an...

Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models. Models guided by differential equations with intuitive solutions can be used throughout engineering and the sciences. Almost any changing system may be described by a set of differential equations. They may be found just about anywhere you look in fields including physics, engineering, economics, sociology, biology, business, healthcare, etc. The nature of these equations ...

This book presents a collection of significant and original contributions that delve into the realm of nonlinear evolution equations and their applications, encompassing both theory and practical usage. Serving as a dynamic platform for interdisciplinary collaboration, it facilitates the exchange of innovative ideas among scientists from diverse fields who share a keen interest in the intricate world of evolution equations. The book bridges the gap between theory and practicality, offering...

This book on statistical models and learning methods for complex data comprises a selection of peer-reviewed post-conference papers presented at the 14th Scientific Meeting of the Classification and Data Analysis Group of the Italian Statistical Society (CLADAG 2023), held in Salerno, Italy, September 11–13, 2023. The contributions span a variety of topics, including different approaches to clustering and classification, multidimensional data analysis, panel data, social networks, time ser...

This book presents a curated collection of recent research contributions in the field of nonlinear partial differential equations (PDEs), with an emphasis on hyperbolic problems. These equations are essential for modeling complex physical phenomena such as wave propagation, fluid dynamics, blood flow, and sediment transport. In many real-world applications, the governing equations are not purely hyperbolic but involve intricate interactions with elliptic or parabolic components.As ...

Written and edited by a team of experts in the field, this exciting new volume presents the cutting-edge techniques, latest trends, and state-of-the-art practical applications in linear and nonlinear system modeling.Mathematical modeling of control systems is, essentially, extracting the essence of practical problems into systematic mathematical language. In system modeling, mathematical expression deals with modeling and its applications. It is characterized that ...

This book presents three short courses on topics at the intersection of Calculus of Variations, PDEs and Material Science, based on lectures given at the CIME summer school “Variational and PDE Methods in Nonlinear Science”, held in Cetraro (Italy), July 10–14, 2023.Fabrice Bethuel discusses aympototics for Allen–Cahn systems, providing an overview of classical methods and tools for the scalar case and further results for the two-dimensional vectorial case. An alternate monotonicit...

This book provides the analytical tools to characterize nonlinear distorted multicarrier signals and optimal/sub-optimal receivers employed in high data rate communication systems.Unified Theoretical Analysis of Nonlinear Multicarrier Schemes introduces new optimal and sub-optimal receivers for nonlinear distorted signals that can use nonlinear distortion to improve performance when compared with common receivers. It addresses the analysis of nonlinear systems with stochastic input...

Now in its sixth edition, this textbook presents the tools and concepts used in multivariate data analysis in a style accessible for non-mathematicians and practitioners. Each chapter features hands-on exercises that showcase applications across various fields of multivariate data analysis. These exercises utilize high-dimensional to ultra-high-dimensional data, reflecting real-world challenges in big data analysis.For this new edition, the book has been updated and revised and now...