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Entry  Thu Jan 10 10:39:27 2019, anchal, DailyProgress, NoiseBudget, New noise budget code is ready, but 
    Reply  Mon Aug 12 11:56:21 2019, anchal, DailyProgress, NoiseBudget, Adding specifics of discepancy 
       Reply  Tue Aug 13 11:59:56 2019, anchal, DailyProgress, NoiseBudget, Checking the differences between old and new noisebudget ComparisonOfOldandNewNoisebudget.pdfComparisonOfOldandNewNoisebudget.zip
          Reply  Tue Aug 13 17:05:53 2019, aaron, DailyProgress, NoiseBudget, Checking the differences between old and new noisebudget 
       Reply  Tue Sep 24 15:40:33 2019, anchal, DailyProgress, NoiseBudget, Adding specifics of discepancy 2 ComparisonEffReflectivities.pdf
          Reply  Tue Sep 24 17:11:13 2019, anchal, DailyProgress, NoiseBudget, Adding specifics of discepancy 2 (More) ComparisonEffReflectivitiesSignChange.pdf
             Reply  Tue Sep 24 19:39:06 2019, anchal, DailyProgress, NoiseBudget, Checking variation in estimated Coating Brownian Noise with Loss Angles VariationOfCoatingBrownianNoiseEstimate.pdfVariationOfCoatingBrownianNoiseEstimate.zip
                Reply  Fri Sep 27 16:40:49 2019, anchal, DailyProgress, NoiseBudget, Checking variation in estimated Coating Brownian Noise with Loss Angles Better Plots VariationOfCoatingBrownianNoiseEstimate.pdfVariationOfCoatingBrownianNoiseEstimate.zip
                   Reply  Mon Sep 30 11:14:41 2019, anchal, DailyProgress, NoiseBudget, Checking variation in estimated Coating Brownian Noise with Loss Angles 2D Plots VariationOfCoatingBrownianNoiseEstimate2.pdfVariationOfCoatingBrownianNoiseEstimate2.zip
                      Reply  Mon Sep 30 12:25:24 2019, rana, DailyProgress, NoiseBudget, Checking variation in estimated Coating Brownian Noise with Loss Angles 2D Plots 
                         Reply  Mon Sep 30 20:08:42 2019, anchal, DailyProgress, NoiseBudget, Checking variation in estimated Coating Brownian Noise with Beam Radius VariationOfCoatBrEstBeamRadius.pdfVariationOfCoatBrEstBeamRadius.zip
                            Reply  Tue Oct 1 13:46:49 2019, anchal, DailyProgress, NoiseBudget, Using bayesian inference to estimate loss Angles BayesianAnalysis.pdfBayesianAnalysis.zip
                            Reply  Wed Oct 2 15:13:27 2019, anchal, DailyProgress, NoiseBudget, Checking variation in estimated Coating Brownian Noise with Beam Radius VariationOfCoatBrEstBeamRadius.pdfVariationOfCoatBrEstBeamRadiusv2.zip
                               Reply  Wed Oct 23 13:21:12 2019, anchal, DailyProgress, NoiseBudget, Fixed all discrepancies. aLIGOComplexReflectivityVariationFig5.pdfaLIGOBreakDownThermalNoiseFig7.pdfaLIGOCoatingBrNoiseCalculations.zip
       Reply  Fri Jun 12 12:34:08 2020, anchal, DailyProgress, NoiseBudget, Resolving discrepancy #1 concretly 
Message ID: 2439     Entry time: Tue Oct 1 13:46:49 2019     In reply to: 2438
Author: anchal 
Type: DailyProgress 
Category: NoiseBudget 
Subject: Using bayesian inference to estimate loss Angles 

I used the method described in Section V of https://arxiv.org/abs/1406.4467, to do a bayesian inference using mechanical ring-down measurements of coating loss angles by Steve Penn (recently reported in https://dcc.ligo.org/LIGO-G1901676) as a prior. I assumed all probability distributions to be gaussian.  We are clearly not close to measuring the Brownian noise as with present uncertainty limits reported by Penn et al, the prior distribution and the likelihood distribution do not overlap with each other at all, giving us no meaningful result. ​Note the different limits in x-axis on first and second plot.

This was a quick run of this though, just to set up the method. Ideally, I should use integrated noise in some frequency range around 300 Hz to use as the measurement. Also, Steve Penn actually did not report any uncertainty value with his measurements, so I assumed the uncertainty the same as his previous measurement. Looking forward to the more formal release of his data.

Attachment 1: BayesianAnalysis.pdf  282 kB  Uploaded Tue Oct 1 15:16:45 2019  | Hide | Hide all
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Attachment 2: BayesianAnalysis.zip  236 kB  Uploaded Tue Oct 1 15:17:22 2019
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