Probabilities of structures in Poissonian distributions

Details Probabilities of structures in Poissonian distributions Probabilities of structures in Poissonian distributions

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrva..43.2694b&link_type=abstract

Physical Review A (ISSN 1050-2947), vol. 43, March 15, 1991, p. 2694-2699.

Statistics

Computation

4

Computational Astrophysics, Galactic Structure, Poisson Density Functions, Degrees Of Freedom, Normal Density Functions, Probability Density Functions

Scientific paper

The paper describes a method for obtainiing expressions for the probability density of structures defined by d degrees of freedom in a Poissonian distribution of points. Procedures for determining the coefficients that appear in these expressions are presented; and the connection (in the high-density limit) with Gaussian random fields is considered. The results are of interest in connection with the investigation of the probabilities of large voids in the distribution of galaxies.

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