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This textbook gives a comprehensive introduction to stochastic processes and calculus in the fields of finance and economics, more specifically mathematical finance and time series econometrics.
Dieses Buch umfasst genau den Stoff, der typischerweise in Klausuren zu Einführungsvorlesungen "Statistik" an wirtschaftswissenschaftlichen Fachbereichen abgeprüft wird. Es enthält mehr als 100 ehemalige Klausuraufgaben mit Lösungen auf der Verlagsseite, die das Klausurtraining erleichtern sollen. Weiterhin finden sich über 60 vollständig durchgerechnete und ausformulierte Beispiele und Fallstudien.
PROVIDES A SIMPLE EXPOSITION OF THE BASIC TIME SERIES MATERIAL, AND INSIGHTS INTO UNDERLYING TECHNICAL ASPECTS AND METHODS OF PROOF Long memory time series are characterized by a strong dependence between distant events. This book introduces readers to the theory and foundations of univariate time series analysis with a focus on long memory and fractional integration, which are embedded into the general framework. It presents the general theory of time series, including some issues that are not treated in other books on time series, such as ergodicity, persistence versus memory, asymptotic properties of the periodogram, and Whittle estimation. Further chapters address the general functional central limit theory, parametric and semiparametric estimation of the long memory parameter, and locally optimal tests. Intuitive and easy to read, Time Series Analysis with Long Memory in View offers chapters that cover: Stationary Processes; Moving Averages and Linear Processes; Frequency Domain Analysis; Differencing and Integration; Fractionally Integrated Processes; Sample Means; Parametric Estimators; Semiparametric Estimators; and Testing. It also discusses further topics. This book: Offers beginning-of-chapter examples as well as end-of-chapter technical arguments and proofs Contains many new results on long memory processes which have not appeared in previous and existing textbooks Takes a basic mathematics (Calculus) approach to the topic of time series analysis with long memory Contains 25 illustrative figures as well as lists of notations and acronyms Time Series Analysis with Long Memory in View is an ideal text for first year PhD students, researchers, and practitioners in statistics, econometrics, and any application area that uses time series over a long period. It would also benefit researchers, undergraduates, and practitioners in those areas who require a rigorous introduction to time series analysis.
This book presents modern methods of time series econometrics and their applications to macroeconomics and finance. It includes numerous examples and analyses based on real economic data.
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