Probabilities of filaments in a Poissonian distribution of points. I - Straight filaments

Details Probabilities of filaments in a Poissonian distribution of points. I - Straight filaments Probabilities of filaments in a Poissonian distribution of points. I - Straight filaments

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.237..431b&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 237, March 15, 1989, p. 431-445. Research supported by

Mathematics

Probability

5

Filaments, Poisson Density Functions, Sky Surveys (Astronomy), Universe, Cosmology, Degrees Of Freedom, Probability Density Functions, Red Shift, Spatial Distribution

Scientific paper

Statistical techniques are devised to assess the likelihood of a Poisson sample of points in two and three dimensions, containing specific filamentary structures. For that purpose, Otto et al.'s (1986) expression for the probability density of clumps in a Poissonian distribution of points is generalized for any value of the density contrast. A way of counting filaments differing from that of Otto et al. is proposed, because at low density contrast the filaments counted by Otto et al. are distributed in a clumpy fashion, each clump of filaments corresponding to a distinct observed filament.

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