Mathematics
a year ago

New Bayesian Estimations Revolutionize Reliability Analysis for Ultrasonic Fatigue Testing

Journal of Statistical Computation and Simulation
The E-Bayesian and hierarchical Bayesian estimations for the reliability analysis of Kumaraswamy generalized distribution based on upper record values
Weihua Shi, Tianrui Ye, Wenhao Gui

Paper Summary

The article explores different methods to estimate the reliability of a distribution called Kumaraswamy based on record values. They compare E-Bayesian, Hierarchical Bayesian, Bayesian, and maximum likelihood estimations to see which one is most accurate. The researchers apply these methods to assess the reliability of a specimen in ultrasonic fatigue testing, finding that the results match the expected patterns.

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