Article/Chapter Title :
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.