IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v246y1997i1p1-17.html
   My bibliography  Save this article

Statistical properties of galaxy cluster distribution

Author

Listed:
  • Montuori, M.
  • Labini, F.Sylos
  • Amici, A.

Abstract

We analyze subsamples of Abell and ACO cluster catalogs, in order to study the spatial properties of the large-scale matter distribution. The subsamples analyzed are estimated to be nearly complete and are the standard ones used in the correlation analysis by various authors. The statistical analysis of cluster correlations is performed without any assumptions on the nature of the distribution itself. The cluster samples show fractal correlations up to sample limits (≈70h−1 Mpc) with fractal dimension D ≈ 2, without any tendency towards homogenization. Our analysis shows that the standard correlation methods are incorrect, since they give a finite correlation length for a distribution that does not possess one. In particular, the so-called correlation length r0 is shown to be simply a fraction of the sample size. Moreover we conclude that galaxies and clusters are two different representations of the same self-similar structure and that the correlations of clusters are the continuation of those of galaxies to larger scales.

Suggested Citation

  • Montuori, M. & Labini, F.Sylos & Amici, A., 1997. "Statistical properties of galaxy cluster distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(1), pages 1-17.
    • Handle: RePEc:eee:phsmap:v:246:y:1997:i:1:p:1-17
    DOI: 10.1016/S0378-4371(97)00340-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197003403
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(97)00340-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Amendola, Mario & Froeschle, Claude & Gaffard, Jean-Luc, 1996. "Structure and cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 29(3), pages 409-432, May.
    2. Glass, Thomas A. & Maddox, George L., 1992. "The quality and quantity of social support: Stroke recovery as psycho-social transition," Social Science & Medicine, Elsevier, vol. 34(11), pages 1249-1261, June.
    3. Schramm, W.F., 1985. "WIC prenatal participation and its relationship to newborn Medicaid costs in Missouri: A cost/benefit analysis," American Journal of Public Health, American Public Health Association, vol. 75(8), pages 851-857.
    4. Schecter, Stephen, 1978. "Structure of the demand function and Pareto optimal set with natural boundary conditions," Journal of Mathematical Economics, Elsevier, vol. 5(1), pages 1-21, March.
    5. L. Pietronero & E. Tosatti & V. Tosatti & A. Vespignani, 1998. "The Uneven Distribution of Numbers in Nature," Papers cond-mat/9808305, arXiv.org, revised Nov 1998.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nakagawa, Takeshi & Noguchi, Taiji & Komatsu, Ayane & Saito, Tami, 2022. "The role of social resources and trajectories of functional health following stroke," Social Science & Medicine, Elsevier, vol. 311(C).
    2. Janet Currie, 2003. "US Food and Nutrition Programs," NBER Chapters, in: Means-Tested Transfer Programs in the United States, pages 199-290, National Bureau of Economic Research, Inc.
    3. Glenn Ostir & Kenneth Ottenbacher & Linda Fried & Jack Guralnik, 2007. "The Effect of Depressive Symptoms on the Association between Functional Status and Social Participation," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 80(2), pages 379-392, January.
    4. Ted Joyce & Diane Gibson & Silvie Colman, 2005. "The changing association between prenatal participation in WIC and birth outcomes in New York City," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 24(4), pages 661-685.
    5. X. Y. Zheng, 2000. "Contractibility and Connectedness of Efficient Point Sets," Journal of Optimization Theory and Applications, Springer, vol. 104(3), pages 717-737, March.
    6. Choi, Hye Jung & LeBlanc, Marissa & Moger, Tron Anders & Valberg, Morten & Aamodt, Geir & Page, Christian M. & Tell, Grethe S. & Næss, Øyvind, 2022. "Stroke survival and the impact of geographic proximity to family members: A population-based cohort study," Social Science & Medicine, Elsevier, vol. 309(C).
    7. Janet Currie, 1998. "The Effect of Welfare on Child Outcomes: What We Know and What We Need to Know," JCPR Working Papers 26, Northwestern University/University of Chicago Joint Center for Poverty Research.
    8. Barbara Devaney & Linda Bilheimer & Jennifer Schore, 1992. "Medicaid costs and birth outcomes: The effects of prenatal WIC participation and the use of prenatal care," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 11(4), pages 573-592.
    9. Hope Corman & Theodore Joyce & Michael Grossman, 1987. "A Cost-Effectiveness Analysis of Strategies to Reduce Infant Mortality," NBER Working Papers 2346, National Bureau of Economic Research, Inc.
    10. Pietronero, L., 1987. "The fractal structure of the universe: Correlations of galaxies and clusters and the average mass density," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(2), pages 257-284.
    11. Andrew D. Racine & Cristina Yunzal-Butler, 2007. "Reassessing the WIC Effect: Evidence from the Pregnancy Nutrition Surveillance System," NBER Working Papers 13441, National Bureau of Economic Research, Inc.
    12. Mary T. O'Brien, 1993. "Multiple Sclerosis," Clinical Nursing Research, , vol. 2(1), pages 67-85, February.
    13. Michael Brien & Christopher Swann, 2001. "Does Participation in Multiple Welfare Programs Improve Birth Outcomes?," JCPR Working Papers 212, Northwestern University/University of Chicago Joint Center for Poverty Research.
    14. Sylos Labini, F. & Montuori, M. & Pietronero, L., 1996. "Statistical analysis of the Perseus-Pisces redshift survey: spatial and luminosity properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 336-358.
    15. Douglas J. Besharov & Peter Germanis, 2000. "Evaluating WIC," Evaluation Review, , vol. 24(2), pages 123-190, April.
    16. Manan Roy, 2012. "Identifying the Effect of WIC on Infant Health When Participation is Endogenous and Misreported," Departmental Working Papers 1202, Southern Methodist University, Department of Economics.
    17. Janet Currie, 1994. "Welfare and the Well-Being of Children: The Relative Effectiveness of Cash and In-Kind Transfers," NBER Chapters, in: Tax Policy and the Economy, Volume 8, pages 1-44, National Bureau of Economic Research, Inc.
    18. Martin Reimann & Sandra Nuñez & Raquel Castaño, 2017. "Brand-Aid," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 44(3), pages 673-691.
    19. Cristina Yunzal-Butler & Theodore J. Joyce & Andrew D. Racine, 2009. "Maternal Smoking and the Timing of WIC Enrollment," NBER Working Papers 14728, National Bureau of Economic Research, Inc.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:246:y:1997:i:1:p:1-17. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.