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

Best linear invariant estimators of log reliable life are derived for a model in which failure times have a two-parameter Weibull distribution and removal of some surviving items from life test is ...

In this paper an estimator of the location parameter of the Weibull distribution is proposed which is independent of its scale and shape parameters. Several properties of this estimator are ...

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 ...

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 ...