A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
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...…et al. (2020b) for discussions about the interpretation of this observation. which may increase the Mmax estimates by a few percent (Landry et al. 2020) because it favors slightly stiffer EOSs than GW170817 (Miller et al. 2019; Raaijmakers et al. 2019; Riley et al. 2019; Jiang et al. 2020)....
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"A NICER View of PSR J0030+0451: Mil..." refers methods in this paper
...We apply nestcheck routines to bootstrap re-sample threads and simulate weights for the following: the onedimensional quantiles in posterior mass for each parameter, which are in turn used to report the credible intervals; the global and parameter-by-parameter KL-divergences; and the evidence....
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...The KL-divergence has, as an example, recently been applied by Abbott et al. (2019a) to probe posterior information gain and sensitivity to prior assumptions....
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...Estimating posterior information gain In a Bayesian context, the KL-divergence (Kullback & Leibler 1951) can be applied as a non-negative real scalar98 measure of posterior information gain about a parameter—or jointly about parameters—of a generative model, conditioned on the data set; it is also…...
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...KL-divergence maximization is central to an information-theoretic—but often in practice intractable—definition of a minimally-informative prior via reference to the generative model, but without reference to the data (via data-space marginalization)....
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...Estimating posterior information gain In a Bayesian context, the KL-divergence (Kullback & Leibler 1951) can be applied as a non-negative real scalar98 measure of posterior information gain about a parameter—or jointly about parameters—of a generative model, conditioned on the data set; it is also known via information-theoretic interpretation as relative entropy....
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"A NICER View of PSR J0030+0451: Mil..." refers background in this paper
...It follows that if the three stars have nearly the same radius, and if the mass ratio of GW170817 was near its lower limit of 0.7, the common radius should be at the lower end of the NICER range....
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...In such cases, we would expect to find NSs whose radii differ by several km , reinforcing the importance of jointly estimating both the radius and the mass of each member of a population of NSs. Constraints on NS masses and tidal deformabilities are now also being reported based on the first binary NS merger gravitational wave event, GW170817 (Abbott et al. 2018, 2019b)....
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...Let us make the assumption that PSR J0030+0415 also has the same radius as the binary members to well within the posterior uncertainty on each star: the radius reported in this Letter, inferred from NICER data, is more consistent with values in the upper ranges emerging from the gravitational wave analysis of GW170817....
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...NS mass and tidal deformability estimates are now also being reported based on the first binary NS merger gravitational wave event, GW170817 (Abbott et al. 2017, 2018; De et al. 2018)....
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...Moreover, studies have utilized mass and tidal deformability constraints derived from analysis of the NS binary merger event GW170817 (Abbott et al. 2018; Annala et al. 2018; Most et al. 2018; Tews et al. 2018b; Lim & Holt 2018; Malik et al. 2018; Carson et al. 2019; Li & Sedrakian 2019; Montaña et al. 2019), and consideration is already being given to combining constraints from electromagnetic and gravitational wave analysis (Kumar & Landry 2019; Forbes et al. 2019; Weih et al. 2019)....
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"A NICER View of PSR J0030+0451: Mil..." refers methods in this paper
...4 Note that PSR J1614−2230 was initially reported as having mass 1.97 ± 0.04 (Demorest et al. 2010); the inferences have since been updated via analysis of newly acquired data. both NSs have the same EOS, it is found that their radii are nearly equal and (for the 68% credible interval) have the…...
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