Weibull Distribution

Weibull Distribution 

The Weibull distribution was described in detail by Waloddi Weibull in 1951 although it was first mentioned by Maurice Frechet in 1927. This probability density function is widely used in engineering and biology to measure the lifetime and/or reliability of objects.

This distribution function depends on three main parameters. K is the shape parameter.  λ  acts as the  is the scale parameter and x represent the failure rate of the function through time.

When k<1, it indicates that the failure rate decreases overtime.

When K=1, It indicates that the failure rate is constant

When K>1, It indicates that the rate increases over time. Which means that the parts or materials are more likely to fail over time

-Xavier Gomez-Maqueo