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The MRL function inference through empirical likelihood in length-biased sampling
2018
Journal of Statistical Planning and Inference
In survival analysis or reliability studies, the mean residual life (MRL) function is the other important function to characterize a lifetime alongside the distribution function. In this paper, an empirical likelihood (EL) procedure based on length-biased data is proposed for inference on the MRL function and the asymptotic distribution of the empirical loglikelihood ratio for the MRL function is derived. We use limiting distribution to obtain EL ratio confidence intervals for the MRL function.
doi:10.1016/j.jspi.2017.11.001
fatcat:7jxt6lslurba3p3rf2vtslafke