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

Exponentiated Weibull distribution, introduced as an extension of the Weibull distribution, is characterized by bathtub shaped, unimodal failure rates besides a broader class of monotone failure rates ...

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 ...

A simple, unbiased estimator, based on a censored sample, has been proposed by Bain [1] for the scale parameter of the Extreme-value distribution. This estimator was shown to have high efficiency and ...

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 ...

When products start failing, management wants answers. Are they failing because of manufacturing problems? Or is the design to blame? One of the most widely regarded methods for ferreting out the ...

Here’s a way to calculate the reliability for designs with several subsystems. • Weibull plots fit a curve through data, not data to a predetermined distribution’s curve. • After evaluating subsystems ...

An industry expert discusses use of the Weibull distribution for life testing electromechanical relays. Life tests for electro-mechanical relays can be set up using relatively small sample sizes, ...