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An autoregressive process with geometric α-laplace marginals
Authors:V Seetha Lekshmi  K K Jose
Institution:(1) Department of Statistics, Nirmala College, Muvattupuzha, Kerala, India;(2) Department of Statistics, St. Thomas College, Pala, 686574 Kerala, India
Abstract:Geometric Laplace and geometric α-Laplace distributions are studied and certain limit properties are derived. An autoregressive process with geometric Laplace stationary marginal distribution is introduced and its properties are studied. These results are generalized to geometric α-Laplace case also and applications are discussed.
Keywords:Autoregressive processes  Geometric Laplace distributions  Geometric α  -Laplace distributions  Laplace distributions  α  -Laplace distributions  Linnik distributions  Limit properties  Time series modelling
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