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Semi-parametric likelihood ratio confidence intervals for various differences of two populations

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  • Qin, Yong Song

Abstract

Recently Qin (1994) has combined the 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. In this paper, 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.

Suggested Citation

  • Qin, Yong Song, 1997. "Semi-parametric likelihood ratio confidence intervals for various differences of two populations," Statistics & Probability Letters, Elsevier, vol. 33(2), pages 135-143, April.
    • Handle: RePEc:eee:stapro:v:33:y:1997:i:2:p:135-143
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    References listed on IDEAS

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    1. Jing Qin, 1994. "Semi-empirical likelihood ratio confidence intervals for the difference of two sample means," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(1), pages 117-126, March.
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    Cited by:

    1. Lin, Cunjie & Zhou, Yong, 2014. "Inference for the treatment effects in two sample problems with right-censored and length-biased data," Statistics & Probability Letters, Elsevier, vol. 90(C), pages 17-24.
    2. Adimari, Gianfranco & Chiogna, Monica, 2006. "Partially parametric interval estimation of Pr{Y>X}," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1875-1891, December.
    3. Li Xun & Li Tao & Yong Zhou, 2020. "Estimators of quantile difference between two samples with length-biased and right-censored data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 409-429, June.
    4. McKeague, Ian W. & Zhao, Yichuan, 2002. "Simultaneous confidence bands for ratios of survival functions via empirical likelihood," Statistics & Probability Letters, Elsevier, vol. 60(4), pages 405-415, December.
    5. Zhao, Yichuan & Zhao, Meng, 2011. "Empirical likelihood for the contrast of two hazard functions with right censoring," Statistics & Probability Letters, Elsevier, vol. 81(3), pages 392-401, March.

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