Statistical analysis of exponential lifetimes under an adaptive type-II progressive censoring scheme. (English) Zbl 1178.62111
Summary: A mixture of Type-I censoring and Type-II progressive censoring schemes, called adaptive Type-II progressive censoring scheme, is introduced for life testing or reliability experiments. For this censoring scheme, the effective sample size \(m\) is fixed in advance, and the progressive censoring scheme is provided, but the number of items progressively removed from the experiment upon failure may change during the experiment. If the experimental time exceeds a prefixed time \(T\) but the number of observed failures does not reach \(m\), we terminate the experiment as soon as possible by adjusting the number of items progressively removed from the experiment upon failure. Computational formulae for the expected total test time are provided. Point and interval estimation of the failure rate for exponentially distributed failure times are discussed for this censoring scheme. The various methods are compared using Monte Carlo simulation.
MSC:
| 62N05 | Reliability and life testing |
| 62N01 | Censored data models |
| 62N02 | Estimation in survival analysis and censored data |
| 65C60 | Computational problems in statistics (MSC2010) |
| 65C05 | Monte Carlo methods |
Keywords:
life testing; maximum likelihood estimator; asymptotic methods; coverage probability; exponential distributionReferences:
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