Fitting Times-to-Failure to a Weibull Distribution

times to failure

data

100

seed

1

plot

CDF plot

Q-Q plot

help

show parameters

hide parameters

theoretical Weibull fit

shape

α

2

scale

β

2

location

μ

1

empirical

theoretical

This Demonstration shows the fitting process of times-to-failure (TTF) data to a three-parameter Weibull distribution. The inbuilt function RandomVariate generates a dataset of

n

pseudorandom TTF from a Weibull distribution with "unknown" parameters

α

,

β

, and

μ

. While you use the sliders to fit the empirical data to the theoretical distribution, check the goodness-of-fit tests table at the same time, making sure that the

p

-values indicate that there is a significant fit.