Mathematics – Probability
Scientific paper
Nov 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983esasp.201..215s&link_type=abstract
In ESA Statist. Methods in Astron. p 215-224 (SEE N84-19196 09-89)
Mathematics
Probability
2
Astronomical Models, Cosmology, Hypotheses, Nonparametric Statistics, Stellar Luminosity, Computer Systems Programs, Parameter Identification, Probability Distribution Functions, Red Shift, Stellar Magnitude
Scientific paper
A theoretically efficient and nonparametric method for the estimation of luminosity functions and similar astronomical parameters is given. The Malmquist bias is entirely removed, assuming the sample to be complete and the postulated cosmology to be correct, and all information in the data relevant to the luminosity function is extracted. Practical implementation of the method is illustrated by consideration of the extragalactic magnitude-redshift relation and its application to the comparative testing of alternative cosmologies. Computer simulations that determine the probability distributions of relevant statistics and eliminate the need for complex theoretical estimates of uncertain realistic applicability are described. Several related topics including prediction of number counts are treated.
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