I have a set of data points {x(adsbygoogle = window.adsbygoogle || []).push({}); _{i},y_{i}} where each y_{i}is a Gamma distributed variable where both the shapekand scale [itex]\theta[/itex] depend on i.

I then fit the data points with a power law model y=a(x)^{b}.

I would like to know the probability distributions for the fit parameters a and b.

Is there an analytical approach for this problem? The only method I can think of is to simulate a bunch of data sets and manually build the distributions of a and b, at which point I could fit the distributions.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Model parameter distributions from Gamma distributed data

Loading...

Similar Threads - Model parameter distributions | Date |
---|---|

I Fitting two models in sequence with parameters in common | Jan 14, 2018 |

I Shaky model in least squares fit | Jun 16, 2017 |

A Transcription from SQL to FOL (First Order Logic) | Jun 3, 2017 |

Bayesian Statistics - obtaining parameters for model from real data | Jan 5, 2013 |

**Physics Forums - The Fusion of Science and Community**