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Entry  Wed May 13 18:07:32 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis CTN_Bayesian_Inference_Analysis_Of_Best_Result.pdf
    Reply  Fri May 15 12:09:17 2020, aaron, DailyProgress, NoiseBudget, Bayesian Analysis 
       Reply  Fri May 15 16:50:24 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis 
          Reply  Fri May 22 17:22:37 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis CTN_Bayesian_Inference_Analysis_Of_Best_Result.pdf
             Reply  Mon May 25 08:54:26 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis with Hard Ceiling Condition CTN_Bayesian_Inference_Analysis_Of_Best_Result_Hard_Ceiling.pdf
                Reply  Tue May 26 15:45:18 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis CTN_Bayesian_Inference_Analysis_Of_Best_Result.pdfCTN_Bayesian_Inference_Analysis_Of_Best_Result_Hard_Ceiling.pdf
                   Reply  Thu May 28 14:13:53 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis CTN_Bayesian_Inference_Analysis_Of_Best_Result_New.pdf
                      Reply  Sun May 31 11:44:20 2020, Anchal, DailyProgress, NoiseBudget, Bayesian Analysis Finalized CTN_Bayesian_Inference_Final_Analysis.pdf
                         Reply  Mon Jun 1 11:09:09 2020, rana, DailyProgress, NoiseBudget, Bayesian Analysis Finalized 
                         Reply  Thu Jun 4 09:18:04 2020, Anchal, DailyProgress, NoiseBudget, Bayesian Analysis Finalized CTN_Bayesian_Inference_Final_Analysis.pdf
                            Reply  Thu Jun 11 14:02:26 2020, Anchal, DailyProgress, NoiseBudget, Bayesian Analysis Finalized CTN_Bayesian_Inference_Final_Analysis.pdf
                               Reply  Mon Jun 15 16:43:58 2020, Anchal, DailyProgress, NoiseBudget, Better measurement on June 14th CTN_Bayesian_Inference_Final_Analysis.pdf
                                  Reply  Tue Jun 23 17:28:36 2020, Anchal, DailyProgress, NoiseBudget, Better measurement on June 22nd (as I turned 26!) CTN_Best_Measurement_Result.pdf
                                     Reply  Wed Jun 24 21:14:58 2020, Anchal, DailyProgress, NoiseBudget, Better measurement on June 24th 
                               Reply  Fri Jun 26 12:38:34 2020, Anchal, DailyProgress, NoiseBudget, Bayesian Analysis Finalized, Adding Slope of Bulk Loss Angle as variable CTN_Bayesian_Inference_Final_Analysis_with_Slope.pdf
Message ID: 2576     Entry time: Tue May 26 15:45:18 2020     In reply to: 2575     Reply to this: 2577
Author: anchal 
Type: DailyProgress 
Category: NoiseBudget 
Subject: Bayesian Analysis 

Today we measured further low noise beatnote frequency noise. I reran the two notebooks and I'm attaching the results here:


Bayesian Analysis with frequency cleaning:

This method only selects a few frequency bins where the spectrum is relatively flat and estimates loss angle based on these bins only. This method rejects any loss angle vaue that results in estimated noise more than measured noise in the selected frequency bins.

\huge \Phi_B = 8.9^{8.9}_{5.0} \times 10^{-4}

with shear loss angle taken from Penn et al. which is 5.2 x 10-7. The limits are 90% confidence interval.


Bayesian Analysis with Hard Ceiling:

This method uses all frequency bins between 50 H and 600 Hz and uses them to estimate loss angle value This method rejects any loss angle value that results in estimated noise more than measured noise in the selected frequency bins.

\huge \Phi_B = 6.1^{6.1}_{5.1} \times 10^{-4}

with shear loss angle taken from Penn et al. which is 5.2 x 10-7. The limits are 90% confidence interval.


Analysis Code

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