Semi-parametric likelihood ratio confidence intervals for various differences of two populations. (English) Zbl 0902.62026
Summary: Recently J. Qin [Ann. Inst. Statist. Math. 46, No. 1, 117-126 (1994; Zbl 0802.62052)] has combined empirical likelihood ideas and the parametric likelihood method to construct confidence intervals for the difference of two population means in a semi-parametric model, in which one model is parametric and the other is nonparametric. We construct confidence intervals for various differences of two populations in the semi-parametric model. The results are illustrated to be useful for several problems.
MSC:
| 62E20 | Asymptotic distribution theory in statistics |
| 62F25 | Parametric tolerance and confidence regions |
| 62G15 | Nonparametric tolerance and confidence regions |
Citations:
Zbl 0802.62052References:
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| [7] | Qin, J., Semi-empirical likelihood ratio confidence intervals for the difference of two sample means, Ann. Inst. Statist. Math., 46, 117-126 (1994) · Zbl 0802.62052 |
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