Empirical likelihood for partial parameters in ARMA models with infinite variance (Q2336800)

Summary: 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.