EXPONENTIAL LIFE TEST PROCEDURES WHEN THE DISTRIBUTION HAS MONOTONE FAILURE RATE
BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA MATHEMATICS RESEARCH LAB
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A number of tests and estimates for mean life and other parameters derived under the exponential distribution assumption are studied under the alternative condition that the distribution has an increasing decreasing failure rate. The tests and estimates considered are, for the most part, based on censored and truncated samples. It is shown that the usual acceptance sampling procedures based on mean life generally favor the producer consumer in the IFR DFR case. However, acceptance sampling procedures based on the qth quantile tend to favor the consumer in the IFR case when q is small. The usual estimates for the mean based on the exponential assumption are positively negatively biased when the distribution is IFR DFR. Many of these results hold under the weaker assumption that the distribution has an increasing decreasing failure rate on the average.
- Operations Research
- Manufacturing and Industrial Engineering and Control of Production Systems