A simple test of independence for truncated data with applications to redshift surveys
1992; IOP Publishing; Volume: 399; Linguagem: Inglês
10.1086/171931
ISSN1538-4357
Autores Tópico(s)Probability and Statistical Research
Resumoview Abstract Citations (155) References (10) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS A Simple Test of Independence for Truncated Data with Applications to Redshift Surveys Efron, Bradley ; Petrosian, Vahe Abstract In analysis of astronomical data, one is often faced with determination of bivariate distributions from truncated data. This leads to the following statistical question: Is a truncated sample of observed points (X_i_, Y_i_) consistent with the hypothesis H_0_ that x and y are statistically independent? This paper presents an easily applied permutation test for H_0_, closely related to Lynden-Bell's estimate of the marginal distribution of truncated data. The test is applied to two redshift-magnitude surveys, one of galaxies and one of quasars. Analysis of the galaxy survey by Loh & Spillar shows that in the framework of a simple Hubble Law model, that is, distance proportional to redshift, or most conventional models with zero cosmological constant and density parameters {OMEGA}~0(1), the absolute magnitude or luminosity and redshift are statistically independent. Therefore, assuming statistical independence, testing H_0_ amounts to testing validity of the cosmological model. Segal's chronomatic cosmological model is rejected under H_0_. On the other hand, for the quasar sample H_0_ is rejected strongly in a conventional cosmological model (and in a chronomatic model as well) indicating either incorrectness of the models or, as is more commonly assumed, indicating strong luminosity evolution. Publication: The Astrophysical Journal Pub Date: November 1992 DOI: 10.1086/171931 Bibcode: 1992ApJ...399..345E Keywords: Galactic Structure; Red Shift; Sky Surveys (Astronomy); Statistical Tests; Distribution Functions; Luminosity; Quasars; Astrophysics; COSMOLOGY: OBSERVATIONS; GALAXIES: DISTANCES AND REDSHIFTS; METHODS: STATISTICAL full text sources ADS |
Referência(s)