Timeline for Nonlinear model fit with Numerical integration
Current License: CC BY-SA 4.0
4 events
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| Aug 3, 2018 at 0:25 | history | edited | JimB | CC BY-SA 4.0 |
Added "proof" that that Om and mu0 cannot be estimated separately showing that the original model is overparameterized.
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| Aug 2, 2018 at 17:56 | comment | added | JimB |
I think the problem is that the model is overparameterized by at least 2 parameters. (Very loosely the data only supports the estimation of 2 parameters.) One can definitely see that at least one of the parameters needs to be removed. Consider factoring out Om from LumDist so that the integral is f[Om]*integral. Taking the logs as DistMod does means that the model has the form 5*Log10[f(Om)] + 5*Log10[integral] + mu0. This means that you can only estimate 5*Log10[f(Om)]+mu0 but not mu0 and Om separately. That an additional parameter needs to be removed is more subtle.
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| Aug 2, 2018 at 7:13 | comment | added | koldrakan | This is indeed a much better fit, and I have thought about this, but then I need a way to translate this fit to parameter constraints on my original model, and I haven't figured out how to do that. | |
| Jul 31, 2018 at 16:49 | history | answered | JimB | CC BY-SA 4.0 |