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A Note on the Innovation Distribution of a Gamma Distributed Autoregressive Process
Authors:S G Walker
Institution:Imperial College, London
Abstract:A representation of the innovation random variable for a gamma distributed first-order autoregressive process was found by Lawrance (1982) in the form of a compound Poisson distribution, connected with a shot-noise process. In this note we simplify the representation of Lawrance by providing a direct representation in terms of density functions.
Keywords:autoregressive process  gamma distribution
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