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This paper deals with smooth estimation of two survival functions (SFs), S1 and S2 subject to the mean residual life (MRL) ordering, i.e. subject to M1⩽M2, where M1 and M2 denote the MRLs corresponding to S1 and S2, respectively. This is achieved by smooth estimation of the two MRLs, M1 and M2 subject to M1⩽M2 and obtaining the corresponding SFs. Two estimators are provided: one using the (non-smooth)...
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