Physics

Location parameter

Shape parameter

Mathematics

Maximum likelihood

Exponentiated Weibull distribution

Statistics

Weibull modulus

Estimator

Power (physics)

Estimation theory

Weibull distribution

Quantum mechanics

Applied mathematics

Scale parameter

Reliability (semiconductor)

Journal of Data Science

The Weibull distribution has received much interest in reliability theory. The well-known maximum likelihood estimators (MLE) of this fam ily are not available in closed form expression. In this work, we propose a consistent and closed form estimator for shape parameter of three-parameter Weibull distribution. Apart from high degree of performance, the derived estimator is location and scale-invariant.

On the Three-Parameter Weibull Distribution Shape Parameter Estimation