The Weibull distribution has become a cornerstone for modelling the variability of material strength, reflecting the inherent scatter in fracture and fatigue data. Its two primary parameters—the shape ...

The following data are taken from Lawless (1982, p.193) and represent the number of days it took rats painted with a carcinogen to develop carcinoma. The last 2 observations are censored data from a ...

Maximum likelihood estimation of the parameters of a statistical model involves maximizing the likelihood or, equivalently, the log likelihood with respect to the parameters. The parameter values at ...

Weibull analysis can be used to examine a myriad of failures and problems, including equipment breakdowns. By better understanding why and when breakdowns happen, companies can better tailor their ...

Identify characteristics of “good” estimators and be able to compare competing estimators. Construct sound estimators using the techniques of maximum likelihood and method of moments estimation.