MATLAB: Assign Beta distribution to set of integers

Question

I have a column vector

x=[6.1000
    9.4000
    8.1000
    3.2000
    6.5000
    7.2000
    7.8000
    4.9000
    3.5000
    6.6000
    6.1000
    5.1000
    4.9000
    4.2000
    6.4000
    8.1000
    6.0000
    8.2000
    6.8000
    5.9000
    5.2000
    6.5000
    5.4000
    5.9000
    9.3000
    5.4000
    6.5000
    7.4000
    6.0000
   12.6000
    6.8000
    5.6000
    6.4000
    9.5000
    7.2000
    5.6000
    4.7000
    4.5000
    7.0000
    7.7000
    6.9000
    5.4000
    6.3000
    8.1000
    4.9000
    5.3000
    5.0000
    4.7000
    5.7000
    4.9000
    5.3000
    6.4000
    7.5000
    4.4000
    4.9000
    7.6000
    3.6000
    8.3000
    5.6000
    6.2000
    5.0000
    7.4000
    5.2000
    5.0000
    6.5000
    8.0000
    6.2000
    5.0000
    4.8000
    6.2000
    4.9000
    7.0000
    7.7000
    4.7000
    5.0000
    6.0000
    9.0000
    5.7000
    7.1000
    5.0000
    5.6000
    4.9000
    7.8000
    7.1000
    7.1000
   11.5000
    5.4000
    5.2000
    6.1000
    6.8000
    5.4000
    3.5000]

I want to apply Beta distribution to the data but I cnt get any reasonable answer from matlab documentation. I tried fitdist but it didn't work. neither distributionfitter app help in these distributions. can anybody explain me this?

Answer 1

These are not integers anyway.

But what stops you from normalizing them so they lie in [0,1]?

xmin = min(x);
xmax = max(x);
xhat = (x - xmin)/(xmax - xmin);
[PHAT, PCI] = betafit(xhat)
PHAT =
      0.15292      0.39984
PCI =
      0.14753      0.35227
       0.1585      0.45383

So a beta distribution that lives on [xmin,xmax].