update estimation procedure and paper experiments

[andreramosfdc]

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[codecov]

Codecov Report

❌ Patch coverage is 91.13924% with 7 lines in your changes missing coverage. Please review.
✅ Project coverage is 93.56%. Comparing base (b3560d7) to head (09b4096).
⚠️ Report is 4 commits behind head on main.

Files with missing lines	Patch %	Lines
src/fit_forecast.jl	83.72%	7 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #90      +/-   ##
==========================================
- Coverage   93.86%   93.56%   -0.31%     
==========================================
  Files           9        9              
  Lines         734      792      +58     
==========================================
+ Hits          689      741      +52     
- Misses         45       51       +6     

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