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Spatial Patterns Analysis in Cosmology based on Marked Point Processes

Published online by Cambridge University Press:  23 January 2015

R.S. Stoica ,
E. Tempel ,
L.J. Liivamägi ,
G. Castellan  and
E. Saar
R.S. Stoica
Affiliation:
Université Lille 1, Laboratoire Paul Painlevé, 59655 Villeneuve d'Ascq Cedex, France Institut de Mécanique Céleste et Calcul d'Ephémérides, Observatoire de Paris, 75014 Paris, France
E. Tempel
Affiliation:
Tartu Observatory, Observatooriumi 1, 61602 Tõravere, Estonia National Institute of Chemical Physics and Biophysics, Rävala pst 10, Tallinn 10143, Estonia
L.J. Liivamägi
Affiliation:
Tartu Observatory, Observatooriumi 1, 61602 Tõravere, Estonia Institute of Physics, University of Tartu, 51010 Tartu, Estonia
G. Castellan
Affiliation:
Université Lille 1, Laboratoire Paul Painlevé, 59655 Villeneuve d'Ascq Cedex, France
E. Saar
Affiliation:
Tartu Observatory, Observatooriumi 1, 61602 Tõravere, Estonia Estonian Academy of Sciences, Kohtu 6, Tallinn 10130, Estonia
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Abstract

This paper presents the use of marked point processes for studying the galaxy distribution in our Universe. The methodology we propose has a general character and it is based on the following tools: summary statistics, stochastic modelling, simulation algorithms and statistical applications.

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References

Aihara, H., Allende Prieto, C., & An, D., et al., 2011, ApJS, 193, 29CrossRef
Babu, G.J., & Feigelson, E.D., 1996, J. Stat. Plann. Infer., 50, 311CrossRef
Baddeley, A.J., 2007, Statistical Challenges in Modern Astronomy IV, ed. Babu, G.J. & Feigelson, E.D., Astron. Soc. Pac. conf. Ser., Vol. 371Google Scholar
Baddeley, A.J., & Silverman, B.W., 1984, Biometrics, 40, 1089
Baddeley, A.J., & Turner, R., 2005, J. Stat. Software, 12, 1CrossRef
Baddeley, A.J., Turner, R., Møller, J., & Hazelton, M., 2005, J. Royal Stat. Soc., Ser. B, 67, 617CrossRef
Baddeley, A.J., & Turner, T.R., 2000, Austra. New Zealand J. Stat., 42, 283CrossRef
Baddeley, A.J., & van Lieshout, M.N.M., 1995, Annals Inst. Stat. Math. 47, 601CrossRef
Berman, M., & Turner, T.R., 1992, J. Royal Stat. Soc., Ser. C (Appl. Stat.), 41, 31
Besag, J., 1974, J. Royal Stat. Soc., Ser. B, 36, 192
Besag, J., 1975, The Statistician 24, 179CrossRef
Besag, J., Milne, R., & Zachary, S., 1982, J. Appl. Prob., 19, 210CrossRef
Billiot, J.-M., Coeurjolly, J.-F., & Drouilhet, R., 2008, Electro. J. Stat., 2, 234CrossRef
Coeurjolly, J.-F., & Lavancier, F., 2013, J. Royal Stat. Soc., Ser. B, 75, 247CrossRef
Daley, D.J., & Vere-Jones, D., 2003, An Introduction to the Theory of Point Processes, Vol. 1: Elementary Theory and Methods, 2nd edition (Springer)Google Scholar
Daley, D.J., & Vere-Jones, D., 2008, An Introduction to the Theory of Point Processes, Vol. 2: General Theory and Structure, 2nd edition (Springer)CrossRefGoogle Scholar
Geyer, C.J., 1994, J. Royal Stat. Soc., Ser. B, 54, 261
Geyer, C.J., 1999, ed. Barndorff-Nielsen, O., Kendall, W. & van Lieshout, M., Stochastic Geometry, Likelihood and Computation (CRC Press/Chapman & Hall, Boca Raton)Google Scholar
Geyer, C.J., & Møller, J., 1994, Scandinavian J. Stat., 21, 359
Heinrich, P., Stoica, R.S., & Tran, V.C., 2012, Spatial Stat., 2, 47CrossRef
Illian, J., Penttinen, A., Stoyan, H., & Stoyan, D., 2008, Stat. Anal. Modelling Spatial Point Patterns (John Wiley & Sons)Google Scholar
Jensen, J., & Kunsch, H.R., 1994, Annals Institute Stat. Math., 46, 475
Jensen, J., & Møller, J., 1991, Annals Appl. Prob., 1, 445CrossRef
Kelly, F.P., & Ripley, B.D., 1976, Biometrika, 63, 357CrossRef
van Lieshout, M.N.M., 2000, Markov Point Processes and their Applications (Imperial College Press, London)CrossRefGoogle Scholar
van Lieshout, M.N.M., & Stoica, R.S., 2003, Stat. Neerlandica, 57, 1CrossRef
van Lieshout, M.N.M., & Stoica, R.S., 2006, Comput. Stat. Data Anal., 51, 679CrossRef
Martinez, V.J., & Saar, E., 2002, Stat. Galaxy Distrib. (Chapman & Hall)Google Scholar
Mase, S., 1995, Annals Appl. Probab., 5, 603CrossRef
Mase, S., 2000, Math. Nachr., 209, 1513.0.CO;2-J>CrossRef
Mateu, J., & Montes, F., 2001, Statist. Inference Stoch. Proc., 4, 125
Meyn, S., & Tweedie, R.L., 2009, Markov Chains and Stochastics Stability (Cambridge University Press)CrossRefGoogle Scholar
Møller, J., & Waagepetersen, R.P., 2004, Statistical Inference and Simulation for Spatial Point Processes (Chapman & Hall/CRC, Boca Raton)Google Scholar
Przyborowski, J., & Wilenski, H., 1940, Biometrika, 31, 313
Ripley, B.D., 1988, Statistical Inference for Spatial Processes (Cambridge University Press)CrossRefGoogle Scholar
Robert, C.P., & Casella, G., 2004, Monte Carlo Statistical Methods, 2nd edition (Springer)CrossRefGoogle Scholar
Robert, C.P., & Casella, G., 2010, Introducing Monte Carlo Methods with R (Springer)CrossRefGoogle Scholar
Roberts, G.O., & Smith, A.F.M., 1994, Stoch. Proc. Appl., 49, 207CrossRef
Roberts, G.O., & Tweedie, R.L., 1996, Biometrika, 83, 95CrossRef
Ruelle, D., 1999, Stat. Mech. Rigorous Results (Imperial College Press, World Scientific Publishing)CrossRefGoogle Scholar
Scargle, J.D., & Babu, G.J., 2003, ed. Rao, C.R. & Shanbhag, D.N., Stochastic processes: Modeling and Simulation (Elsevier, North Holland, Amsterdam)Google Scholar
Stoica, R.S., 2001, Processus Ponctuels pour l'Extraction de Réseaux Linéïques, Ph.D. Thesis, Université de Nice Sophia-Antipolis
Stoica, R.S., 2010, EPJST, 186, 123
Stoica, R.S., Chatelain, F., & Sigelle, M., 2012, ed. Descombes, X., Stochastic Geometry for Image Analysis (Digital Signal and Image Processing series) (John Wiley & Sons)Google Scholar
Stoica, R.S., Gay, E., & Kretzschmar, A., 2007a, Biometr. J., 49, 1CrossRef
Stoica, R.S., Gregori, P., & Mateu, J., 2005a, Stocha. Proc. App., 115, 1860CrossRef
Stoica, R.S., Martinez, V.J., Mateu, J., & Saar, E., 2005b, A&A, 434, 423
Stoica, R.S., Martinez, V.J., & Saar, E., 2007b, J. Royal Stat. Soc., Ser. C (Appl. Stat.), 55, 189
Stoica, R.S., Martinez, V.J., & Saar, E., 2010, A&A, 510, 1PubMed
Stoyan, D., Kendall, W., & Mecke, J., 1995, Stochastic Geometry and its Applications (John Wiley & Sons)Google Scholar
Strauss, D.J., 1975, Biometrika, 62, 467CrossRef
Tempel, E., Stoica, R.S., & Saar, E., 2013, MNRAS, 428, 1827CrossRef
Tempel, E., Stoica, R.S., & Saar, E., et al., 2014, MNRAS, 438, 3465CrossRef
Tempel, E., Tago, E., & Liivamägi, L.J., 2012, A&A, 540, A106