Mathematics
8 years ago

Large inspection size inefficient for low failure rate in exponential distribution.

Communications for Statistical Applications and Methods
Sequential Estimation in Exponential Distribution
Sang-Un Park

Paper Summary

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The article breaks down likelihood based on grouped data into smaller parts and looks at how extra inspections affect efficiency. By combining these smaller parts, researchers created an estimator for an exponential distribution. They found that when the failure rate is low, having more inspections doesn't make a big difference in efficiency. The estimator for this distribution can be approximated using a simple linear function of inspection times.