I have a series of experimental points. I performed a MLE for parameter estimation, Using a power law function, that gives me the 2 Parameters that best fit my data. Because of the model used, I had to implement an fminunc to the parameter estimation so the 95% confidence intervals have been estimated using the hessian matrix. So now I have "a=0.25" and "b=4" parameters of this function: y=a*x^(1/b) and their confidence intervals a = +_ 0.04 and b=+_ 0.5 . How do I plot the estimated curve and the relatives 95% confidence intervals bands??
I do not how to draw the upper and lower confidence boundaries. I don't think they are just the power law function with adding and removing the values of 95% CI to the estimated value.