Download or read book Fractional Difference Differential Equations and Inclusions written by Saïd Abbas and published by Elsevier. This book was released on 2024-01-16 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of fractional calculus (FC) is more than 300 years old, and it presumably stemmed from a question about a fractional-order derivative raised in communication between L'Hopital and Leibniz in the year 1695. This branch of mathematical analysis is regarded as the generalization of classical calculus, as it deals with the derivative and integral operators of fractional order. The tools of fractional calculus are found to be of great utility in improving the mathematical modeling of many natural phenomena and processes occurring in the areas of engineering, social, natural, and biomedical sciences. Fractional Difference, Differential Equations, and Inclusions: Analysis and Stability is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for several classes of functional fractional difference equations and inclusions. Some equations include delay effects of finite, infinite, or state-dependent nature. Others are subject to impulsive effect which may be fixed or non-instantaneous. The tools used to establish the existence results for the proposed problems include fixed point theorems, densifiability techniques, monotone iterative technique, notions of Ulam stability, attractivity and the measure of non-compactness as well as the measure of weak noncompactness. All the abstract results are illustrated by examples in applied mathematics, engineering, biomedical, and other applied sciences. Introduces notation, definitions, and foundational concepts of fractional q-calculus Presents existence and attractivity results for a class of implicit fractional q-difference equations in Banach and Fréchet spaces Focuses on the study of a class of coupled systems of Hilfer and Hilfer-Hadamard fractional differential equations
Download or read book Discrete Fractional Calculus and Fractional Difference Equations written by Rui A. C. Ferreira and published by Springer Nature. This book was released on 2022-03-14 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief aims to merge the theories of fractional calculus and discrete calculus in a concise but comprehensive manner. It is designed for graduate students, but will be useful for any researcher interested in the theory of discrete fractional calculus and fractional difference equations.
Download or read book Using Time Series to Analyze Long Range Fractal Patterns written by Matthijs Koopmans and published by SAGE Publications. This book was released on 2020-09-23 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Time Series to Analyze Long Range Fractal Patterns presents methods for describing and analyzing dependency and irregularity in long time series. Irregularity refers to cycles that are similar in appearance, but unlike seasonal patterns more familiar to social scientists, repeated over a time scale that is not fixed. Until now, the application of these methods has mainly involved analysis of dynamical systems outside of the social sciences, but this volume makes it possible for social scientists to explore and document fractal patterns in dynamical social systems. Author Matthijs Koopmans concentrates on two general approaches to irregularity in long time series: autoregressive fractionally integrated moving average models, and power spectral density analysis. He demonstrates the methods through two kinds of examples: simulations that illustrate the patterns that might be encountered and serve as a benchmark for interpreting patterns in real data; and secondly social science examples such a long range data on monthly unemployment figures, daily school attendance rates; daily numbers of births to teens, and weekly survey data on political orientation. Data and R-scripts to replicate the analyses are available on an accompanying website.
Download or read book Time Series with Long Memory written by Peter M. Robinson and published by Advanced Texts in Econometrics. This book was released on 2003 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long memory time series are characterized by a strong dependence between distant events.
Download or read book Advances in Quantitative Asset Management written by Christian Dunis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantitative Asset Management contains selected articles which, for the most part, were presented at the `Forecasting Financial Markets' Conference. `Forecasting Financial Markets' is an international conference on quantitative finance which is held in London in May every year. Since its inception in 1994, the conference has grown in scope and stature to become a key international meeting point for those interested in quantitative finance, with the participation of prestigious academic and research institutions from all over the world, including major central banks and quantitative fund managers. The editor has chosen to concentrate on advances in quantitative asset management and, accordingly, the papers in this book are organized around two major themes: advances in asset allocation and portfolio management, and modelling risk, return and correlation.
Download or read book Processes with Long Range Correlations written by Govindan Rangarajan and published by Springer. This book was released on 2008-01-11 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Processes with long range correlations occur in a wide variety of fields ranging from physics and biology to economics and finance. This book, suitable for both graduate students and specialists, brings the reader up to date on this rapidly developing field. A distinguished group of experts have been brought together to provide a comprehensive and well-balanced account of basic notions and recent developments. The book is divided into two parts. The first part deals with theoretical developments in the area. The second part comprises chapters dealing primarily with three major areas of application: anomalous diffusion, economics and finance, and biology (especially neuroscience).
Download or read book Improving Flood Management Prediction and Monitoring written by Zulkifli Yusop and published by Emerald Group Publishing. This book was released on 2018-11-21 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents chapters highlighting the methodologies and tools developed to improve flood management and flood risk reduction.
Download or read book Report of Activities written by Southwest Fisheries Center (U.S.) and published by . This book was released on 1988 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Time Series Analysis written by Terence C. Mills and published by Academic Press. This book was released on 2019-01-22 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for those who need an introduction, Applied Time Series Analysis reviews applications of the popular econometric analysis technique across disciplines. Carefully balancing accessibility with rigor, it spans economics, finance, economic history, climatology, meteorology, and public health. Terence Mills provides a practical, step-by-step approach that emphasizes core theories and results without becoming bogged down by excessive technical details. Including univariate and multivariate techniques, Applied Time Series Analysis provides data sets and program files that support a broad range of multidisciplinary applications, distinguishing this book from others. - Focuses on practical application of time series analysis, using step-by-step techniques and without excessive technical detail - Supported by copious disciplinary examples, helping readers quickly adapt time series analysis to their area of study - Covers both univariate and multivariate techniques in one volume - Provides expert tips on, and helps mitigate common pitfalls of, powerful statistical software including EVIEWS and R - Written in jargon-free and clear English from a master educator with 30 years+ experience explaining time series to novices - Accompanied by a microsite with disciplinary data sets and files explaining how to build the calculations used in examples
Download or read book Stochasticity Nonlinearity and Forecasting of Streamflow Processes written by Wen Wang and published by IOS Press. This book was released on 2006 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Streamflow forecasting is of great importance to water resources management and flood defense. On the other hand, a better understanding of the streamflow process is fundamental for improving the skill of streamflow forecasting. The methods for forecasting streamflows may fall into two general classes: process-driven methods and data-driven methods. Equivalently, methods for understanding streamflow processes may also be broken into two categories: physically-based methods and mathematically-based methods. This thesis focuses on using mathematically-based methods to analyze stochasticity and nonlinearity of streamflow processes based on univariate historic streamflow records, and presents data-driven models that are also mainly based on univariate streamflow time series. Six streamflow processes of five rivers in different geological regions are investigated for stochasticity and nonlinearity at several characteristic timescales.
Download or read book A Very British Affair written by T. Mills and published by Springer. This book was released on 2012-11-27 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the major themes of time series analysis from its formal beginnings in the early part of the 20th century to the present day through the research of six distinguished British statisticians, all of whose work is characterised by the British traits of pragmatism and the desire to solve practical problems of importance.
Download or read book Monetary Policy and Issues written by Lauren C. Williams and published by Nova Publishers. This book was released on 2006 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1970's, many countries were plagued by persistently high inflation rates, which were thought to cause a significant loss in economic efficiency. Since persistent inflation is considered to be ultimately the result of monetary policy, many countries in the 1990s sought institutional reforms to their central banks to prevent a return to the 1970s experience. A popular reform was to move from giving central banks multiple policy goals to a single mandate of price stability. The single mandate was accompanied by the introduction of an inflation target, in which central banks aim to keep inflation within a pre-defined numerical range. The logic behind these reforms was a belief among proponents that it would remove the political temptation to 'pump up' the economy in the short run at the expense of long-run price stability, and a belief that 'fine tuning' monetary policy in response to every change in economic conditions, was of little value. This book develops quantitative measurements to analyse the success of inflation targeting abroad by comparing both the performance of targeters to non-targeters and the performance of countries before and after targeting was adopted.
Download or read book Progress In Image Analysis And Processing Ii Proceedings Of The 6th International Conference written by Virginio Cantoni and published by World Scientific. This book was released on 1992-06-08 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents reports by well-known experts on the most recent research results in image coding, analysis and understanding, and promising applications for solving real problems in manufacturing, remote sensing and biomedicine. The topics covered include shape analysis and computer vision, pattern recognition methods and applications, parallel computer architectures for image processing and analysis, human perception and use of artificial intelligence techniques for image understanding, languages for image abstraction, processing and retrieval, vision modules and neural computation.
Download or read book Causal Inference in Econometrics written by Van-Nam Huynh and published by Springer. This book was released on 2015-12-28 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the analysis of causal inference which is one of the most difficult tasks in data analysis: when two phenomena are observed to be related, it is often difficult to decide whether one of them causally influences the other one, or whether these two phenomena have a common cause. This analysis is the main focus of this volume. To get a good understanding of the causal inference, it is important to have models of economic phenomena which are as accurate as possible. Because of this need, this volume also contains papers that use non-traditional economic models, such as fuzzy models and models obtained by using neural networks and data mining techniques. It also contains papers that apply different econometric models to analyze real-life economic dependencies.
Download or read book Statistics for Long Memory Processes written by Jan Beran and published by Routledge. This book was released on 2017-11-22 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Methods for Long Term Memory Processes covers the diverse statistical methods and applications for data with long-range dependence. Presenting material that previously appeared only in journals, the author provides a concise and effective overview of probabilistic foundations, statistical methods, and applications. The material emphasizes basic principles and practical applications and provides an integrated perspective of both theory and practice. This book explores data sets from a wide range of disciplines, such as hydrology, climatology, telecommunications engineering, and high-precision physical measurement. The data sets are conveniently compiled in the index, and this allows readers to view statistical approaches in a practical context. Statistical Methods for Long Term Memory Processes also supplies S-PLUS programs for the major methods discussed. This feature allows the practitioner to apply long memory processes in daily data analysis. For newcomers to the area, the first three chapters provide the basic knowledge necessary for understanding the remainder of the material. To promote selective reading, the author presents the chapters independently. Combining essential methodologies with real-life applications, this outstanding volume is and indispensable reference for statisticians and scientists who analyze data with long-range dependence.
Download or read book Introduction to Spatial Econometrics written by James LeSage and published by CRC Press. This book was released on 2009-01-20 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although interest in spatial regression models has surged in recent years, a comprehensive, up-to-date text on these approaches does not exist. Filling this void, Introduction to Spatial Econometrics presents a variety of regression methods used to analyze spatial data samples that violate the traditional assumption of independence between observat
Download or read book Advanced Mathematical Methods written by Francesco Mainardi and published by MDPI. This book was released on 2020-02-05 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.
