Gatha Cognition®
Perception, Learning and Reasoning

#### Statistical Decision for Weibull Distribution for Minima

Statistical Theory of Extremes

130-157

Weibull distribution , Minima , Point prediction , Time-to-failure

The Weibull distribution for minima is explained. Weibull random variable (for minima) has a finite location parameter. The Weibull distribution deals with modeling of failure and helps to determine ‘time-to-failure’. Characteristics are presented from definition of distribution function. Statistical decision for the 3-parameters case, estimation, testing and point prediction are discussed. Prediction difficulties are depending on the interplay of the location and shape parameter of the distribution.