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Monotonic estimators for the survival function of quality adjusted lifetime. (English) Zbl 1073.62086
Summary: The simple weighted estimator of the survival function of quality adjusted lifetime is a consistent estimator and a proper survival function. It is considerably less efficient than many estimators that are not monotonic and therefore are not proper survival functions. The non-monotonic estimators can be modified to be monotonic, but additional work is required to determine the effect of the modification on their consistency and efficiency. As a prelude to the main results, we introduce a new non-monotonic estimator and study the positive and negative mass jump points of three estimators. This article proposes several classes of monotonic estimators for the survival function of quality adjusted life. All proposed estimators are shown to be consistent. Two proposed estimators are nearly as efficient as their non monotonic counterparts, when the sample size is large.

62N02 Estimation in survival analysis and censored data
62F12 Asymptotic properties of parametric estimators
62N01 Censored data models
Full Text: DOI
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