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 Wed May 13 18:07:32 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis Fri May 15 12:09:17 2020, aaron, DailyProgress, NoiseBudget, Bayesian Analysis Fri May 15 16:50:24 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis Fri May 22 17:22:37 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis Mon May 25 08:54:26 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis with Hard Ceiling Condition Tue May 26 15:45:18 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis Thu May 28 14:13:53 2020, anchal, DailyProgress, NoiseBudget, Bayesian Analysis Sun May 31 11:44:20 2020, Anchal, DailyProgress, NoiseBudget, Bayesian Analysis Finalized Mon Jun 1 11:09:09 2020, rana, DailyProgress, NoiseBudget, Bayesian Analysis Finalized Thu Jun 4 09:18:04 2020, Anchal, DailyProgress, NoiseBudget, Bayesian Analysis Finalized Thu Jun 11 14:02:26 2020, Anchal, DailyProgress, NoiseBudget, Bayesian Analysis Finalized Mon Jun 15 16:43:58 2020, Anchal, DailyProgress, NoiseBudget, Better measurement on June 14th Tue Jun 23 17:28:36 2020, Anchal, DailyProgress, NoiseBudget, Better measurement on June 22nd (as I turned 26!) Wed Jun 24 21:14:58 2020, Anchal, DailyProgress, NoiseBudget, Better measurement on June 24th Fri Jun 26 12:38:34 2020, Anchal, DailyProgress, NoiseBudget, Bayesian Analysis Finalized, Adding Slope of Bulk Loss Angle as variable
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
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