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Title: Morphostatistical characterization of the spatial galaxy distribution through Gibbs point processes

Journal Article · · Monthly Notices of the Royal Astronomical Society

ABSTRACT This paper proposes a morphostatistical characterization of the galaxy distribution through spatial statistical modelling based on inhomogeneous Gibbs point processes. The galaxy distribution is supposed to exhibit two components. The first one is related to the major geometrical features exhibited by the observed galaxy field, here, its corresponding filamentary pattern. The second one is related to the interactions exhibited by the galaxies. Gibbs point processes are statistical models able to integrate these two aspects in a probability density, controlled by some parameters. Several such models are fitted to real observational data via the ABC shadow algorithm. This algorithm provides simultaneous parameter estimation and posterior-based inference, hence allowing the derivation of the statistical significance of the obtained results.

Sponsoring Organization:
USDOE
OSTI ID:
1880392
Journal Information:
Monthly Notices of the Royal Astronomical Society, Journal Name: Monthly Notices of the Royal Astronomical Society Journal Issue: 2 Vol. 507; ISSN 0035-8711
Publisher:
Oxford University PressCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (57)

Stochastic Geometry and its Applications book August 2013
Area-interaction point processes journal December 1995
Approximate Bayesian computational methods journal October 2011
ABC Shadow algorithm: a tool for statistical analysis of spatial patterns journal July 2016
Scaling in the Universe journal January 1995
Halo models of large scale structure journal December 2002
Bisous model—Detecting filamentary patterns in point processes journal July 2016
Simulated annealing and object point processes: Tools for analysis of spatial patterns journal November 2005
The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe journal November 2003
Virial masses of galactic haloes from galaxy–galaxy lensing: theoretical modelling and application to Sloan Digital Sky Survey data journal September 2002
Filaments in observed and mock galaxy catalogues journal February 2010
Groups and clusters of galaxies in the SDSS DR8: Value-added catalogues⋆ journal April 2012
Flux- and volume-limited groups/clusters for the SDSS galaxies: catalogues and mass estimation journal May 2014
Galaxy filaments as pearl necklaces journal November 2014
The best fit for the observed galaxy counts-in-cell distribution function journal April 2017
Bayesian group finder based on marked point processes: Method and feasibility study using the 2MRS data set journal October 2018
The VIMOS-VLT Deep Survey: The evolution of galaxy clustering per spectral type to z  $\simeq$ 1.5 journal May 2006
New Model for the Study of Liquid–Vapor Phase Transitions journal February 1970
The Distribution of Extra-Galactic Nebulae journal January 1934
A survey of galaxy redshifts. V - The two-point position and velocity correlations journal April 1983
The sponge-like topology of large-scale structure in the universe journal July 1986
Void probabilities in the galaxy distribution - Scaling and luminosity segregation journal September 1987
Clustering paradigms and multifractal measures journal July 1990
Baryonic Features in the Matter Transfer Function journal April 1998
A Global Descriptor of Spatial Pattern Interaction in the Galaxy Distribution journal March 1999
Shapefinders: A New Shape Diagnostic for Large-Scale Structure journal March 1998
The Halo Occupation Distribution: Toward an Empirical Determination of the Relation between Galaxies and Mass journal August 2002
The Halo Occupation Distribution and the Physics of Galaxy Formation journal August 2003
On Departures from a Power Law in the Galaxy Correlation Function journal June 2004
The Dark Side of the Halo Occupation Distribution journal July 2004
The DEEP2 Galaxy Redshift Survey: Color and Luminosity Dependence of Galaxy Clustering at \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage[OT2,OT1]{fontenc} \newcommand\cyr{ \renewcommand\rmdefault{wncyr} \renewcommand\sfdefault{wncyss} \renewcommand\encodingdefault{OT2} \normalfont \selectfont} \DeclareTextFontCommand{\textcyr}{\cyr} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \landscape $z\sim 1$ \end{document} journal January 2008
Reliability of the Detection of the Baryon Acoustic peak journal April 2009
Galaxy Clustering in the Completed sdss Redshift Survey: the Dependence on Color and Luminosity journal July 2011
The Eighth data Release of the Sloan Digital sky Survey: First data from Sdss-Iii journal March 2011
Joint constraints on galaxy bias and σ 8 through the N-pdf of the galaxy number density journal March 2016
A model for clustering journal August 1975
A note on Strauss's model for clustering journal January 1976
An efficient Markov chain Monte Carlo method for distributions with intractable normalising constants journal June 2006
The hierarchy of correlation functions and its relation to other measures of galaxy clustering journal February 1979
Gibbs point process model for young star clusters in M33 journal December 2020
Detecting filamentary pattern in the cosmic web: a catalogue of filaments for the SDSS journal January 2014
The ALHAMBRA survey: evolution of galaxy clustering since z ∼ 1 journal May 2014
New interpretable statistics for large-scale structure analysis and generation journal November 2020
Scaling laws in the distribution of galaxies journal February 2005
The Candy model: properties and inference journal May 2003
Intercluster filaments of galaxies programme: abundance and distribution of filaments in the 2dFGRS catalogue journal November 2004
Multiscale probability mapping: groups, clusters and an algorithmic search for filaments in SDSS: MSPM: groups, clusters and filaments in SDSS journal March 2012
A nonparametric measure of spatial interaction in point patterns journal November 1996
Residual analysis for spatial point processes (with discussion) journal November 2005
Approximate Bayesian Computation: A Nonparametric Perspective journal September 2010
Statistical Inference and Simulation for Spatial Point Processes book January 2003
ABC likelihood-free methods for model choice in Gibbs random fields journal June 2009
New insights into Approximate Bayesian Computation
  • Biau, Gérard; Cérou, Frédéric; Guyader, Arnaud
  • Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Vol. 51, Issue 1 https://doi.org/10.1214/13-AIHP590
journal February 2015
spatstat : An R Package for Analyzing Spatial Point Patterns journal January 2005
Nearest-Neighbour Markov Point Processes and Random Sets
  • Baddeley, Adrian; Møller, Jesper; Moller, Jesper
  • International Statistical Review / Revue Internationale de Statistique, Vol. 57, Issue 2 https://doi.org/10.2307/1403381
journal August 1989
A Point Process Modelling Approach to Raised Incidence of a Rare Phenomenon in the Vicinity of a Prespecified Point journal January 1990
The Alhambra Survey: Evolution of Galaxy Spectral Segregation journal February 2016

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