Estimating distribution functions from partially observed samples. (English) Zbl 0978.62093
Summary: Suppose that some components are initially operated in a certain condition and then switched to operating in a different condition. Working hours of the components in condition 1 and condition 2 are, respectively, observed. Of interest is the lifetime distribution \(F\) of the component in the second condition only, i.e., the distribution without the prior exposure to the first condition.
We propose a method to transform the lifetime obtained in condition 1 to an equivalent lifetime in condition 2 and then use the transformed data to estimate \(F\). Both parametric and nonparametric approaches each with complete and censored data are discussed. Numerical studies are presented to investigate the performance of the method.
We propose a method to transform the lifetime obtained in condition 1 to an equivalent lifetime in condition 2 and then use the transformed data to estimate \(F\). Both parametric and nonparametric approaches each with complete and censored data are discussed. Numerical studies are presented to investigate the performance of the method.
Keywords:
accelerated life test; EM algorithm; maximum likelihood estimator; product limit estimator; right censoring; self-consistent estimatorReferences:
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