Dear Jonah:
I have leafed through those links provided and they are really amazingly helpful to me !
Extremely Grateful to you, Mr Jonah !!
Recently, I’m trying to replicate the results of GW150914 from the data of LIGO, and actually got stuck.
Based on all my tryings, I got three questions:
- Should I estimate D_L, orbital plane inclination \theta_{JN} and sky loaction angular parameters \alpha and \delta at the same time together and with others? (For the degeneracy between the former two, and the indirect long way of gradually enhancing the precision of the sky-map credible region of the latter two)
- Should I marginalize anything for the case of GW150914? Maye this question is rooted from my still being ignorant about the purpose of marginalization.
- Should I estimate polarization \psi now for GW150914? As I noticed some sentences like this in a paper of event co-observed by LVK that “Finally we are able to estimate the polarization, for the joining of a third ground-borne detector…”
Would it be possible for you to give me some hints, Mr. Jonah?
Great thanks to what you have provided again, sir !
I will carefully check them for perhaps somewhere be the answers to my questions.
Background
I tried two examples with reference codes from PyCBC documents website:
- One uses emcee_pt sampler, which means a standard MCMC sampler, and mainly shows the .ini files settings on the event GW150914.
- Another one uses dynesty. which is for nested sampling, shows the settings for a time-marginalized model accompanied by also ra, dec, polarization, distance, phase(IMRPhenomD) marginalization.
Results:
- emcee_pt sampler: Two components masses in detector frame seems reasonable, while other parameters are not satisfying. Especially the Luminosity Distance is estimated as around 600(±200).
- dynesty sampler: the same as the picture at the page bottom of [PyCBC] Marginalized time model: Example with GW150914, which seems being the truth.
Main settings (not all)
dynesty case settings:
[model]
name = marginalized_time
low-frequency-cutoff = 30.0
marginalize_vector_params = tc, ra, dec, polarization
marginalize_phase = True
marginalize_distance = True
emcee_pt case settings:
ABOUT data.ini:
I used the straing data from LIGO’s H1 and L1 detectors:
[data]
frame-files = H1:H-H1_GWOSC_16KHZ_R1-1126257415-4096.gwf L1:L-L1_GWOSC_16KHZ_R1-1126257415-4096.gwf
channel-name = H1:GWOSC-16KHZ_R1_STRAIN L1:GWOSC-16KHZ_R1_STRAIN
This time segment was analysed:
analysis-start-time = -6
analysis-end-time = 2
Noise PSD was estimated 1024+6+8s ahead of -6s :
psd-estimation = median-mean
psd-start-time = -1038
psd-end-time = -6
I added 8s for data padding during the PSD estimation process (not sure if it should be treated like this):
psd-inverse-length = 8
psd-segment-length = 8
psd-segment-stride = 4
strain-high-pass = 15
pad-data = 8
ABOUT like.ini:
I chose the Gaussian-noise model
[model]
name = gaussian_noise
low-frequency-cutoff = 15.0
All parameters necessary for IMRPhenomPv2 was included:
[variable_params]
delta_tc =
coa_phase =
mass1 =
mass2 =
spin1_a =
spin1_azimuthal =
spin1_polar =
spin2_a =
spin2_azimuthal =
spin2_polar =
distance =
ra =
dec =
inclination =
polarization =
ABOUT sampler.ini:
I tried the emcee_pt sampler:
[sampler]
name = emcee_pt
nwalkers = 200
ntemps = 20
With burn_in setting as:
[sampler-burn_in]
burn-in-test = nacl & max_posterior