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Spatial median depth-based robust adjusted empirical likelihood. (English) Zbl 1328.62222

Summary: Empirical likelihood (EL) based inference for parameters defined by general estimating equations of J. Qin and J. Lawless [Ann. Stat. 22, No. 1, 300–325 (1994; Zbl 0799.62049)] remains an active research topic. However, the performance of the EL method can be hindered by non-robustness and empty set problems. In this paper, we propose a robust adjusted empirical likelihood (RAEL) to address these two problems simultaneously. The resulting RAEL ratio statistic is shown to have inherited the asymptotic properties of both the robust empirical likelihood and the adjusted empirical likelihood. The finite-sample performance of the proposed method is illustrated by simulation and two real-data examples are also presented.

MSC:

62G05 Nonparametric estimation
62G10 Nonparametric hypothesis testing
62G20 Asymptotic properties of nonparametric inference
62G35 Nonparametric robustness

Citations:

Zbl 0799.62049
Full Text: DOI

References:

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