Analysis Of Time Series Data In The Presence Of Outliers
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Analysis of Time Series Data in the Presence of Outliers
Author: Olanrewaju Shittu
language: en
Publisher: LAP Lambert Academic Publishing
Release Date: 2011-04
This book deals with the methods of detection, and identification of outliers in time series data in the frequency domain. It also discusses the method of analysis that would be insensitive to outliers. The author uses some robust regression method to fit sine and cosine coefficients at each Fourier frequency assuming additive outlier (AO) and multiplicative outliers (MO) respectively to obtain discrete Fourier transform for removing outliers from time series data. The parameters of the contaminated series were estimated using the maximum likelihood (ML) method and the statistical properties of the derived estimates were investigated. Two algorithms were proposed for detection and accommodation of aberrant observations in the frequency domain while modified test statistic using a more robust estimate that is resistant to outlier were also developed to test each observation for discordance. A new filtering method of accommodating outliers was also suggested and the performance of various accommodation techniques was determined in respect of the fixed and dynamic models.Real life and simulated data were used to illustrate the techniques.
Nonlinear Time Series Analysis of Economic and Financial Data
Author: Philip Rothman
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Nonlinear Time Series Analysis of Economic and Financial Data provides an examination of the flourishing interest that has developed in this area over the past decade. The constant theme throughout this work is that standard linear time series tools leave unexamined and unexploited economically significant features in frequently used data sets. The book comprises original contributions written by specialists in the field, and offers a combination of both applied and methodological papers. It will be useful to both seasoned veterans of nonlinear time series analysis and those searching for an informative panoramic look at front-line developments in the area.
A Course in Time Series Analysis
New statistical methods and future directions of research in time series A Course in Time Series Analysis demonstrates how to build time series models for univariate and multivariate time series data. It brings together material previously available only in the professional literature and presents a unified view of the most advanced procedures available for time series model building. The authors begin with basic concepts in univariate time series, providing an up-to-date presentation of ARIMA models, including the Kalman filter, outlier analysis, automatic methods for building ARIMA models, and signal extraction. They then move on to advanced topics, focusing on heteroscedastic models, nonlinear time series models, Bayesian time series analysis, nonparametric time series analysis, and neural networks. Multivariate time series coverage includes presentations on vector ARMA models, cointegration, and multivariate linear systems. Special features include: Contributions from eleven of the worldâ??s leading figures in time series Shared balance between theory and application Exercise series sets Many real data examples Consistent style and clear, common notation in all contributions 60 helpful graphs and tables Requiring no previous knowledge of the subject, A Course in Time Series Analysis is an important reference and a highly useful resource for researchers and practitioners in statistics, economics, business, engineering, and environmental analysis. An Instructor's Manual presenting detailed solutions to all the problems in he book is available upon request from the Wiley editorial department.