weibfit (Statistics Toolbox)

Parameter estimates and confidence intervals for Weibull data.

Syntax

phat = weibfit(x)
[phat,pci] = weibfit(x)
[phat,pci] = weibfit(x,alpha)

Description

phat = weibfit(x) returns the maximum likelihood estimates, phat, of the parameters of the Weibull distribution given the data in the vector, x. phat is a two-element row vector. phat(1) estimates the Weibull parameter, a, and phat(2) estimates b in the pdf:

[phat,pci] = weibfit(x) also returns 95% confidence intervals in a matrix, pci, with 2 rows. The first row contains the lower bound of the confidence interval. The second row contains the upper bound. The columns of pci correspond to the columns of phat.

[phat,pci] = weibfit(x,alpha) allows control over the confidence interval returned (100(1-alpha)%).

Example

r = weibrnd(0.5,0.8,100,1);
[phat,pci] = weibfit(r)

phat =

    0.4746    0.7832

pci =

    0.3851    0.6367
    0.5641    0.9298