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 ...

The Weibull distribution remains an indispensable tool in reliability engineering and lifetime analysis, offering flexibility for modelling diverse failure behaviours. Modern parameter estimation ...

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 ...

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.

In this paper, we introduce the class of the nonlinear overdispersed models and derive general formulae for the biases of the maximum likelihood estimators of the parameters in these models, thus ...

The challenge of using small sample sizes for operational risk capital models fitted via maximum likelihood estimation is well recognized, yet the literature generally provides warning examples rather ...