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Time Series Analysis - Auckland

time Series AnalysisLecture Notes for IhakaStatistics DepartmentUniversity of AucklandApril 14, 2005iiContents1 time Series .. Stationarity and Non-Stationarity .. Some Examples .. Annual Auckland Rainfall .. Nile River Flow .. Yield on British Government Securities .. Ground Displacement in an Earthquake .. United States Housing Starts .. Iowa City Bus Ridership .. 32 Vector Space Vectors In Two Dimensions .. Scalar Multiplication and Addition .. Norms and Inner Products .. General Vector Spaces .. Vector Spaces and Inner Products .. Some Examples .. Hilbert Spaces .. Subspaces .. Projections .. Hilbert Spaces and Prediction .. Linear Prediction.

1.1 Time Series Time series arise as recordings of processes which vary over time. A recording can either be a continuous trace or a set of discrete observations. We will concentrate on the case where observations are made at discrete equally spaced times. By appropriate choice of origin and scale we can take the observation

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