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Nonstationary INAR(1) Process with th-Order Autocorrelation Innovation

Author

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  • Kaizhi Yu
  • Hong Zou
  • Daimin Shi

Abstract

This paper is concerned with an integer-valued random walk process with q th-order autocorrelation. Some limit distributions of sums about the nonstationary process are obtained. The limit distribution of conditional least squares estimators of the autoregressive coefficient in an auxiliary regression process is derived. The performance of the autoregressive coefficient estimators is assessed through the Monte Carlo simulations.

Suggested Citation

  • Kaizhi Yu & Hong Zou & Daimin Shi, 2013. "Nonstationary INAR(1) Process with th-Order Autocorrelation Innovation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, April.
  • Handle: RePEc:hin:jnlaaa:951312
    DOI: 10.1155/2013/951312
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