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Titlebook: Climate Time Series Analysis; Classical Statistica Manfred Mudelsee Book 20101st edition Springer Science+Business Media B.V. 2010 AR(1).At

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Persistence Modelsa inform about the “memory” of the climate fluctuations, the span of the persistence. The fitted models and their estimated parameters can then be directly used for the bootstrap resampling procedure.
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Persistence Modelsnfidence intervals or error bars for the various estimation problems treated in the subsequent chapters. The bootstrap works with artificially produced (by means of a random number generator) resamples of the noise process. Accurate bootstrap results need therefore the resamples to preserve the pers
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Spectral Analysisible to separate short-term from long-term variations and to distinguish between cyclical forcing mechanisms of the climate system and broad-band resonances. Spectral analysis allows to learn about the climate physics.
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Regression IIry” based on equations. Owing to the complexity of the climate system, such a theory can never be derived alone from the pure laws of physics—it requires to establish empirical relations between observed climate processes.
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