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SOME SIMPLE MODELS FOR CONTINUOUS VARIATE TIME SERIES1
Authors:P A W Lewis
Abstract:ABSTRACT: A survey is given of recently developed models for continuous variate non–Gaussian time series. The emphasis is on marginally specific models with given correlation structure. Exponential, Gamma, Weibull, Laplace, Beta and Mixed Exponential models are considered for the marginal distributions of the stationary time series. Most of the models are random coefficient, additive linear models. Some discussion of the meaning of autoregression and linearity is given, as well as suggestions for higher–order linear residual analysis for non–Gaussian models.
Keywords:non–  Gaussian time series  Exponential  Gamma  Weibull  Laplace  Beta  Mixed Exponential  NEAR(1)  GAR(1)  BGAR(l)  residuals  second–  order moments
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