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The theory and practice of time series analysis have developed rapidly since the appear- ance in 1970 of the seminal work of George E. P. Box and Gwilym M. Jenkins, Time Series Analysis: Forecasting and Control, now available in its third edition (1994) with co-author Gregory C. Reinsel. Many books on time series have appeared since then, but some of them give too little practical application, while others give too little theoretical background. This book attempts to present both application, and theory at a level acces- sible to a wide variety of students and practitioners. Our approach is to mix application and theory throughout the book as they are naturally needed.