betafit
Fit a beta distribution to a data sample.
Syntax
[ahat,bhat,aci,bci]=betafit(x)
Inputs
- x
- Data sample.
Outputs
- ahat
- An estimate of the shape parameter a.
- bhat
- An estimate of the shape parameter b.
- aci
- A confidence interval for a. A two-element vector containing the lower and upper bounds of the interval.
- bci
- A confidence interval for b. A two-element vector containing the lower and upper bounds of the interval.
Example
x = [0.54 0.92 0.71 0.79 0.74 0.55 0.74 0.66 0.63 0.67 0.6 0.69 0.75 0.47 0.75 0.56
0.41 0.3 0.74 0.64];
[ahat,bhat,aci,bci] = betafit(x)
ahat = 6.878
bhat = 3.8285
aci = [Matrix] 2 x 1
3.2608
10.495
bci = [Matrix] 2 x 1
1.8224
5.8346
Comments
The function uses maximum likelihood estimation with 95% confidence intervals.