Loglikelihood calculation for fitnlm

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Thomas Hemming
Thomas Hemming on 23 Nov 2023
Edited: Torsten on 24 Nov 2023
Hello,
Can you provide the formula for how loglikelihood is calculated when using fitnlm function with bisquare weights? I would like to replicate the value that Matlab outputs to fully understand how its calculated.
  3 Comments
Thomas Hemming
Thomas Hemming on 23 Nov 2023
Our case is just a time series where we want to fit either a constant or a constant plus a coefficient with bisquare weights. fitnlm returns a loglikelihood value so it must be calculated somewhow, although I follow what you're saying (and kind of also why I'm asking how it's calculated in this case).
Torsten
Torsten on 24 Nov 2023
Edited: Torsten on 24 Nov 2023
Can you provide the formula for how loglikelihood is calculated when using fitnlm function with bisquare weights?
If it's not part of the MATLAB documentation, I'd contact Technical Support for the relevant literature source:

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Answers (1)

Sulaymon Eshkabilov
Sulaymon Eshkabilov on 23 Nov 2023
See this example of MATLAB help documentation for nonlinear logistic regression.
  3 Comments
Sulaymon Eshkabilov
Sulaymon Eshkabilov on 24 Nov 2023
Don't you see how fitnlm() fcn can be employed to find maximum likelihood explained in details in this help DOC for nonlinear regression model. Your question was "Can you provide the formula for how loglikelihood is calculated when using fitnlm function with bisquare weights?"
Torsten
Torsten on 24 Nov 2023
Edited: Torsten on 24 Nov 2023
We can see how it is used, but not how it is calculated internally.

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