Abstract
A brief introduction is given to some statistical questions that arise in the study of galaxy clustering in the universe. Topics include observational surveys of galaxy clustering, the origins of clustering in cosmological models, galaxy correlation functions, double Poisson models, Voronoi tessellations, minimal spanning trees, and Saslaw’s distribution function.
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References
Adler, R. J. 1981. The Geometry of Random Fields (Wiley: NY).
Bahcall, N. and Soneira, R. M. 1983. Astrophys. J. 270, 20.
Bardeen, J. M.. Bond J. R., Kaiser, N., and Szalay, A. S. 1986. Astrophys. J. 304, 15.
Barrow, J. D. 1988. In The World Within the World (Oxford UP: Oxford).
Barrow, J. D. 1989. Quart. JRAS 30, 163.
Barrow, J. D., Bhavsar, S., and Sonoda, D. 1984. Mon. Not. Roy. Astron. Soc. 210, 19P.
Barrow, J. D., Bhavsar, S., and Sonoda D. 1985. Mon. Not. Roy. Astron. Soc. 216, 17.
Barrow, J. D. and Bhavsar, S. 1987. Quart. JRAS 28, 109.
Bertschinger, E. and Gelb, J. M. 1991. Computers in Physics March/April, 5, 164–180.
Betancourt-Rijo, J. 1989. Mon. Not. Roy. Astron. Soc. 237, 431.
Betancourt-Rijo, J. 1990a. Mon. Not. Roy. Astron. Soc. 243, 656.
Betancourt-Rijo, J. 1990b. Mon. Not. Roy. Astron. Soc. 246, 608.
Bhavsar, S. and Barrow, J. D. 1983. Mon. Not. Roy Astron. Soc. 205, 61P.
Bhavsar, S. and Barrow, J. D. 1984. In Clusters and Groups of Galaxies, Mardirossian F., Giuricin, M. and Mezzetti, M., eds. (Reidel: Dordrecht).
Bhavsar, S. and Barrow, J. D. 1985. Mon. Not. Roy. Astron. Soc. 213, 857.
Bhavsar, S. and Ling, E. N. 1988. Astrophys. J. Lett. 331, L63.
Broadhurst, T., Ellis, R., Koo, D. and Szalay, A. S. 1990. Nature 343, 726.
Carruthers, P. and Minh, D.-V. 1983. Phys. Lett. B 131, 116.
Carruthers, P. and Shih, C. C. 1987. Int. J. Mod. Phys. A2, 1447.
Carruthers, P. and Sarcevic, I. 1989. Phys. Rev. Lett. 63, 1562.
Coles, P. 1988. Mon. Not. Roy. Astron. Soc. 231, 125.
Coles, P. 1989. Mon. Not. Roy. Astron. Soc. 238, 319.
Coles, P. 1990. Nature 346, 446 and 349, 288.
Coles, P. and Barrow, J. D. 1990. Mon. No. Roy. Astron. Soc. 244, 557.
Coles, P. and Jones, B. J. 1991. Mon. Not. Roy. Astron. Soc. 248, 1.
Dekel, A. and West, M. 1985. Astrophy. J. 288, 411.
DeLapparent, V., Geller, M. J., and Huchra, J. 1986. Astrophys. J. Lett. 302, L1.
Edmunds, M. and George, G. 1985. Mon. Not. Roy. Astron. Soc. 213, 905.
Einasto, J., Joeveer, M., and Saar, E. 1980. Mon. Not. Roy. Astron. Soc. 193, 353.
Frenk, C. S., Shanks, T., Ellis, R., and Fong, R. (eds.) 1989. The Epoch of Galaxy Formation (Kluwer Acad. Publ., Dordrecht, Netherlands).
Geller, M. 1989. Astronomy. Cosmology and Fundamental Physics (3 rd ESO/CERN Symposium) (Kluwer:Dordrecht).
Geller, M. and Huchra, J. 1989. Bubbles. Voids and Bumps in Time, ed. J. Cornell (Cambridge UP: Cambridge).
Glass, L. 1969. Nature 223, 578.
Glass, L. and Perez, R. 1973. Nature 246. 360.
Gott, J. R., Melott, A. L., and Dickinson. M. 1986. Astrophys. J. 306, 341.
Gott, J. R., et al. 1989. Astrophys. J. 340, 625.
Gumbel, E. J. 1966. That Statistics of Extremes (Columbia UP: NY).
Hamilton, A. J., Gott, J. R., and Weinberg, D. 1986. Astrophys. J. 309, 1.
Hinde, A. L. and Miles, R. E. 1980. J. Statist. Comput. Simul. 10, 205.
Icke, V. and van der Weygaert, R. 1991. Quart. JRAS 32, 85.
Johnson, W. and Mehl, R. F. 1939. Trans. Am. Inst. Min. Metal Eng. 135, 416.
Kaiser, N. 1984. Astrophys. J. 284, L9.
Klypin, A. A. 1988. Acta Cosmologica 15, 101.
Klypin, A. A. and Kopylov, A. I. 1983. Soviet Astron. Lett. 9, 75.
Kuhn, J. R. and Uson, J. M. 1982. Astrophys, J. Lett. 263, L47.
Limber, D. N. 1954. Astrophys. J. 119, 655.
Ling, E. N. 1987. New Statistical Approaches to Galaxy Clustering, Ph.D. Thesis, Univ. Sussex, Astronomy Centre.
Ling, E., Frenk, C., and Barrow, J. D. 1986. Mon. Not. Roy. Astron. Soc. 223, 21P.
Longuet-Higgins, M. S. 1957. Phil. Trans. Roy. Soc. Lond. A 249, 321.
Maddox, S., Efstathiou, G., Sutherland, W., and Loveday, J. 1990. Mon. Not. Roy. Astron. Soc. 242, 43P.
Marr, D. 1982. Vision (W. H. Freeman: San Francisco, CA).
Martinez, V. J. and Jones, B. J. 1990. Mon. Not. Roy. Astron. Soc. 242, 517.
Martinez, V. J., Jones, B. J., Dominguez-Tenreiro, R., and van der Weygaert, R. 1990. Ap. J. 357, 50.
Mataresse, S., Ortolan, A., and Lucchin, F. 1989. Phys. Rev. D 40, 290.
Matsuda, T. and Shima, E. (1984). Prog. Theo. Phys. 71, 855.
Miles, R. E. 1970. Math Bioscience 6, 85.
Møller, J. 1989. Adv. Appl. Probab. 21, 37.
Moody, J. E., Turner, E., and Gott, J. R. 1983. Ap. J. 273, 16.
Neymann, J. and Scott, E. 1952. Astrophys. J. 116, 144.
Neymann, J., Scott, E., and Shane, C. D. 1954. Astrophys. J. Suppl. 1, 269.
Neymann, J. and Scott, E. 1955a. Astron. J. 60, 33.
Neymann, J. and Scott, E. 1955b. Astron. J. 60, 33.
Neymann, J., Scott, E., and Shane, C. D. 1956. Proc. 3rd Berkeley Symp. Math. Stat. Probab. 3, 75.
Otto, S., Politzer, D.. and Wise, M. 1986. Phys. Rev. Lett. 56, 1878.
Pakes, A. G. and Speed. T. P. 1977. SIAM J. Appl. Math. 32, 745.
Peacock, J. A. and Heavens, A. F. 1985. Mon. Not. Roy. Astron. Soc. 217. 805.
Peebles, P. J. E. 1980. The Large Scale Structure of the Universe (Princeton UP: Princeton. NJ).
Peebles, P. J. E. 1984. Science 224, 1385.
Politzer, D. and Wise, M. 1984. Astrophys. J. 285, L1.
Rice, S. O., 1954. In Selected Papers on Noise and Stochastic Processes, Wax, N., ed. (Dover: NY).
Ripley, B. D. 1981. Spatial Statistics (Wiley: NY).
Saslaw, W. 1985. Ap. J. 297, 49.
Saslaw, W. 1986. Ap. J. 304, 11.
Saslaw, W. 1989. Ap. J. 341, 588.
Sazhin, M. V. 1985. Mon. Not. Roy. Astron. Soc. 216, 25P.
Seidner, M., Siebers, B., Groth, E. J., and Peebles, P. J. E. 1977. Astron. J. 82, 249.
Shane, C. and Wirtanen, C. A. 1967. Publ. Lick Observ., 22, Part 1.
Stevens, K. A. 1978. Biol. Cybernetics 29, 19.
Subramanian, K. and Barrow, J. D. 1986. Mon. Not. Roy. Astron. Soc. 218, 587.
Totsuji, H. and Kihara, T. 1969. Publ. Astron. Soc. Japan 21, 221.
van der Weygaert, R. 1991. Voids and the Geometry of Large-Scale Structure. Ph.D. Thesis, Leiden (unpublished).
Vanmarcke, E. H., 1983. Random Fields: Analysis of Synthesis (MIT Press: Cambridge, MA).
Vishniac, E. 1986. In Inner Space/Outer Space, Kolb, E. et al. eds., pp. 190–193 (Univ. Chicago Press: Chicago).
Voronoi, G. 1908. J. Rreine Angew. Math. 134, 198.
Weinberg, S. 1974. Gravitation and Cosmology (Wiley: NY).
White, S.D. M. 1979. Mon. Not. Roy. Astron. Soc. 186, 145.
Yoshioka S. and Ikeuchi, S. 1989. Astrophys. J. 341, 16.
Zeldovich, Ya. B., Einasto, J., and Shandarin, S. 1982. Nature 300, 407.
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Barrow, J.D. (1992). Some Statistical Problems in Cosmology. In: Feigelson, E.D., Babu, G.J. (eds) Statistical Challenges in Modern Astronomy. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9290-3_2
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