Smoothing a distribution curve

Hello, I am currently trying to find a way to smooth my probability distribution curve but I have been unsuccesfull so far. I basically wanted to make the curve look more like a proper smooth function without so many sharp peaks and edges. How can I do this? Attached is an image of my curve. Thank you in advance for the help.

Answer 1

[John D'Errico]

The distributions you show are not at all unsmooth. And they don't look at all uncommon for problems of that kind. So I'm not sure what you would expect to see that is better.

A serious problem however, is that any simple smoothing tool will very possibly introduce distortions that are non-physical. For example, a spline could easily allow the curve to go below zero, and that would be a bad thing in this context.

I'd suggest you accept what you have as reasonable distributions.

[Ankit]

undoubtedly

[Jorge Fernandez]

Thank you for the response. I guess I just wanted to make the figures a little prettier for future publications. I smoothed the curve but integrated the original function in order to obtain real probability values.

Answer 2

[Ankit]

You can use smooth function.

https://uk.mathworks.com/help/curvefit/smooth.html