Table 25 Maximum likelihood estimates of parameters and the corresponding maximum log-likelihood for the gamma, Weibull, and lognormal distributions based on the data in Table 23
From: Tolerance intervals in statistical software and robustness under model misspecification
Assumed | Parameter Estimates | ||
|---|---|---|---|
Distribution | Shape | Scale | Max. log-likelihood |
Gamma | \({\hat \theta }_{G} = 7.2586\) | \({\hat \beta }_{G} = 12.3153\) | −180.3139 |
Weibull | \({\hat \theta }_{W} = 3.4329\) | \({\hat \beta }_{W} = 99.6853\) | −177.7924 |
Lognormal | \({\hat \mu }_{LN} = 4.4226\) | \({\hat \sigma }_{LN} = 0.4032\) | −182.5255 |