40m QIL Cryo_Lab CTN SUS_Lab TCS_Lab OMC_Lab CRIME_Lab FEA ENG_Labs OptContFac Mariner WBEEShop
  PSL  Not logged in ELOG logo
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: 2575     Entry time: Mon May 25 08:54:26 2020     In reply to: 2574     Reply to this: 2576
Author: anchal 
Type: DailyProgress 
Category: NoiseBudget 
Subject: Bayesian Analysis with Hard Ceiling Condition 

I realized that using only the cleaned out frequencies and a condition that estimated power never goes above them at those places is double conditioning. In fact, we can just look at a wide frequency band, between 50 Hz to 600 Hz and use all data points with a hard ceiling condition that estimated noise never goes above the measured noise in any frequency bin in this region. Surprisingly, this method estimates a lower loss angle with more certainty. This happened because, 1) More data points are being used and 2) As Aaron pointed out, there were many useful data bins between 50 Hz and 100 Hz. I'm putting this result separately to understand the contrast in the results. Note that still we are using a uniform prior for Bulk Loss Angle and shear loss angle value from Penn et al.


The estimate of the bulk loss angle with this method is:

\huge \Phi_B = 6.1^{6.1}_{5.2} \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. This result has an entire uncertain region from Penn et al.  within it.


Which is a more fair technique: this post or  CTN:2574 ?


Analysis Code

Attachment 1: CTN_Bayesian_Inference_Analysis_Of_Best_Result_Hard_Ceiling.pdf  146 kB  Uploaded Mon May 25 11:11:36 2020  | Hide | Hide all
CTN_Bayesian_Inference_Analysis_Of_Best_Result_Hard_Ceiling.pdf CTN_Bayesian_Inference_Analysis_Of_Best_Result_Hard_Ceiling.pdf CTN_Bayesian_Inference_Analysis_Of_Best_Result_Hard_Ceiling.pdf CTN_Bayesian_Inference_Analysis_Of_Best_Result_Hard_Ceiling.pdf
ELOG V3.1.3-