This paper proposes a profile empirical likelihood for the partial parameters in ARMA(p, q) models with infinite variance. We introduce a smoothed empirical log-likelihood ratio statistic. Also, the paper proves a nonparametric version of Wilks's theorem. Furthermore, we conduct a simulation to illustrate the performance of the proposed method.
机构:
Jiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Jiangxi, Peoples R China
Jiangxi Univ Finance & Econ, Key Lab Data Sci Finance & Econ, Nanchang 330013, Jiangxi, Peoples R ChinaJiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Jiangxi, Peoples R China
Liu, Xiaohui
Fan, Donghui
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Jiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Jiangxi, Peoples R ChinaJiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Jiangxi, Peoples R China
Fan, Donghui
Zhang, Xu
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South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R ChinaJiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Jiangxi, Peoples R China
Zhang, Xu
Liu, Catherine
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机构:
Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Peoples R ChinaJiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Jiangxi, Peoples R China