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Conditional L1 estimation for random coefficient integer-valued autoregressive processes


  • Chen Xi
  • Wang Lihong

    () (Department of Mathematics, Nanjing University, Nanjing, P.R. China)


In this paper we study the integer-valued autoregressive model, which belongs to the class of thinning models with count data.We mainly focus on the random coefficient integer-valued autoregressive (RCINAR) model and propose a conditional least absolute deviation (CL1) method to estimate the parameters of the model. The asymptotic distribution of the CL1 estimator is investigated. The finite sample performance of the proposed estimator is evaluated through simulation, and is compared with that of conditional least squares (CL2) estimation method. Simulation results show that the proposed method is effective and robust against outliers

Suggested Citation

  • Chen Xi & Wang Lihong, 2013. "Conditional L1 estimation for random coefficient integer-valued autoregressive processes," Statistics & Risk Modeling, De Gruyter, vol. 30(3), pages 221-235, August.
  • Handle: RePEc:bpj:strimo:v:30:y:2013:i:3:p:221-235:n:3

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    References listed on IDEAS

    1. Jung, Robert C. & Kukuk, Martin & Liesenfeld, Roman, 2006. "Time series of count data: modeling, estimation and diagnostics," Computational Statistics & Data Analysis, Elsevier, vol. 51(4), pages 2350-2364, December.
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    5. Silva, Isabel & Silva, M. Eduarda, 2006. "Asymptotic distribution of the Yule-Walker estimator for INAR(p) processes," Statistics & Probability Letters, Elsevier, vol. 76(15), pages 1655-1663, September.
    6. Davis, Richard A. & Knight, Keith & Liu, Jian, 1992. "M-estimation for autoregressions with infinite variance," Stochastic Processes and their Applications, Elsevier, vol. 40(1), pages 145-180, February.
    7. Konstantinos Fokianos & Roland Fried, 2010. "Interventions in INGARCH processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(3), pages 210-225, May.
    8. Jung, Robert C. & Tremayne, A.R., 2006. "Coherent forecasting in integer time series models," International Journal of Forecasting, Elsevier, vol. 22(2), pages 223-238.
    9. Haitao Zheng & Ishwar V. Basawa & Somnath Datta, 2006. "Inference for pth-order random coefficient integer-valued autoregressive processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 411-440, May.
    10. Robert Jung & Gerd Ronning & A. Tremayne, 2005. "Estimation in conditional first order autoregression with discrete support," Statistical Papers, Springer, vol. 46(2), pages 195-224, April.
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