A Laplacian Autoregressive Moving-Average Time Series Model

  • Son, Young-Sook (Department of Statistics, Chonnam National University, Kwangju, 500-757)
  • Published : 1993.12.01

Abstract

A moving average model, LMA(q) and an autoregressive-moving average model, NLARMA(p, q), with Laplacian marginal distribution are constructed and their properties are discussed; Their autocorrelation structures are completely analogus to those of Gaussian process and they are partially time reversible in the third order moments. Finally, we study the mixing property of NLARMA process.

Keywords

References

  1. IEEE Transactions Information Theory v.IT-31 no.5 A new Laplace second-order autoregressive time series model-NLAR(2) Dewald,L.S.;Lewis,P.A.W.
  2. Advances in Applied Probability v.9 A mexed autoregressive-moving average exponential sequence and point process (EARMA(1,1)) Jacobs,P.A.;Lewis,P.A.W.
  3. The Annals of Statistics v.6 no.3 On conditional least squares estimation for stochastic processes Klimko,L.A.;Nelson,P.I.
  4. Journal of Applied Probability v.14 An exponential moving average sequence and point process (EMA(1)) Lawrance,A.J.;Lewis,P.A.W.
  5. Journal of the Royal Statistical Society, Series B v.42 no.2 The exponential autogressive-moving average EARMA(p,q) process Lawrance,A.J.;Lewis,P.A.W.
  6. Advances in Applied Probability v.13 A new autoregressive time series model in exponential variables (NEAR(1)) Lawrance,A.J.;Lewis,P.A.W.
  7. Journal of the Royal Statistical Society, Series B v.47 no.1 Modelling and residual analysis of nonlinear autogressive time series in exponential variables Lawrance,A.J.;Lewis,P.A.W.
  8. Markov Processes, structure and Asymptotic Behaviour Rosenblatt,M.
  9. Journal of the Korean Statistical Society v.17 no.2 A Laplacian autoregressive time series model Son,Y.S.;Cho,S.S.