How to integrate with distribution function?
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I have a situation in Magnetisation where i am required to find .
Available data for variables: M and H. (1*350 each)
Constants:
where
Taking σ and as symbolic variables, i need to evaluate the integral which will be then used to fit available M-H data to estimate σ and .
I tried integrating but couldn't get any result.
Can someone point out what to be done?
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Star Strider
le 20 Fév 2021
That looks like a version of the Lognormal Distribution. It would likely be best to code the ‘M’ result as a function of ‘H’, and then use one of the optimisation routines to solve for the ‘D_m’ as a parameter.
Code it, then first experiment with lsqcurvefit or another routine. If that approach has problems, consider using a Global Optimization Toolbox function such as ga to see if it can be estimated.
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Star Strider
le 21 Fév 2021
My pleasure!
Since I do not have any of the constants, or the data, I did not pursue this myself. It should be relatively straightforward to code and estimate ‘D_m’. Consider using the integral funciton. It may be necessary to use 'ArrayValued' as well.
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