Bayesian Logical Data Analysis for the Physical Sciences: References

By P. Gregory. 2005

494 citations recorded by the source corpus.

Subfields: Applied Mathematics, Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/fb66b5f18168ae686a3a9cedbceb87b4a895480f

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Citations in the corpus

An introduction to Bayesian inference in gravitational-wave astronomy: Parameter estimation, model selection, and hierarchical models (2018, background): “Sivia & Skilling (2006) and Gregory (2005) are useful references that are accessible to physicists and astronomers (see also the Springer Series in Astrostatistics; Manuel et al. 2012; Hilbe 2013; Chattopadhyay & Chattopadhyay 2014; Andreon &Weaver 2015).”
THE COSMIC RATE, LUMINOSITY FUNCTION, AND INTRINSIC CORRELATIONS OF LONG GAMMA-RAY BURSTS (2009, methodology): “Model Fitting To fit the model robs(~θ) to the observed data D by finding the optimal parameters ~θ, we maximize the Poisson likelihood (e.g., Gregory 2005): L(D|~θ) = AN N∏ i=0 ri(~θ) exp [ −A ∫ d~θr(~θ) ] , (A-5) where ri is the model evaluated for the ith GRB, and A is a normalization.”
The TRAPPIST survey of southern transiting planets. I. Thirty eclipses of the ultra-short period planet WASP-43 b (2012, methodology): “To summarize, MCMC is a Bayesian stochastic simulation algorithm designed to deduce the posterior Probability Distribution Fuctions (PDFs) for the parameters of a given model (e.g. Gregory 2005, Carlin & Louis 2008).”
A Bayesian test for periodic signals in red noise (2009, methodology): “…(1992), Berger & Berry(1988) and Howson & Urbach (1991); more thorough treatments include Berry (1996), Carlin & Louis (2000), Gelman et al. (2004), and Lee (2004); and discussions more focussed on physics and astrophysics problems include Sivia (1996), Gregory (2005),and Loredo (1990, 1992).”
The HARPS search for southern extra-solar planets - XVII. Super-Earth and Neptune-mass planets in multiple planet systems HD 47 186 and HD 181 433 (2008, methodology): “This problem was also reported by Gregory (2007) in his study of the radial velocity data of HD11964.”
Enceladus's and Dione's floating ice shells supported by minimum stress isostasy (2016, methodology): “2 of Gregory [2005], the likelihood function is the same as if the shape was exactly known except that the standard deviation of the gravity data is replaced by σ(2) nm = σ 2 Cnm + (Zn σHnm) 2 , (S.”
Systemic: A Testbed for Characterizing the Detection of Extrasolar Planets. I. The Systemic Console Package (2009, methodology): “More sophisticated Bayesian algorithms, such as parallel tempering MCMC (Gregory 2005a), may be implemented by the user by exploiting the programmable interface of the Console.”
THE LUMINOSITY PROFILE AND STRUCTURAL PARAMETERS OF THE ANDROMEDA GALAXY (2011, unknown): “For a review of Bayesian inference and how it compares with the frequentist approach, see Gregory (2005).”
Transits and Occultations (2010, unknown): “Although a complete MCMC briefing is beyond the scope of this chapter, the interested reader should consult the textbook by Gregory (2005) as well as case studies such as Holman et al. (2006), Collier Cameron et al. (2007), and Burke et al. (2007).”
PASTIS: Bayesian extrasolar planet validation. I. General framework, models, and performance (2014, methodology): “Gregory (2005b) claims that this is a robust way to obtain conservative estimates of the posterior of the parameters.”
emcee: The MCMC Hammer (2012, methodology): “H method (Algorithm 1; MacKay 2003; Gregory 2005; Press et al. 2007; Hogg et al. 2010).”
How cognitive modeling can benefit from hierarchical Bayesian models. (2011, background): “…the practical level of conducting Bayesian analyses, there is also a spectrum, ranging from work that closely follows the objective viewpoint (e.g., Gregory, 2005; Sivia, 1996), to work that is more agnostic or adopts a naturally subjective position (e.g., Congdon, 2006; Gelman, Carlin, Stern, &…”
Dynamical Blueprints for Galaxies (2008, methodology): “(See Gregory 2005, for a discussion.)”
HUBBLE SPACE TELESCOPE NEAR-IR TRANSMISSION SPECTROSCOPY OF THE SUPER-EARTH HD 97658B (2014, methodology): “We calculate the significance with which our data can rule out a given model using the equation from Gregory (2005): Significance = χ2 − ν√ 2ν (3) where χ2 is calculated by comparing our averaged transmission spectrum to each model and ν is the number of degrees of freedom in the fit (27 in our…”