Computer Science – Numerical Analysis
Scientific paper
Feb 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.152..141r&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 152, no. 1, Feb. 1989, p. 141-170.
Computer Science
Numerical Analysis
4
Mathematical Models, Radio Sources (Astronomy), Red Shift, Stellar Motions, Dipoles, Echoes, Light Beams, Numerical Analysis, Space-Time Functions, Statistical Analysis
Scientific paper
The proper motion vs redshift relation has been analyzed for the data set of Zensus and Pearson (1988). A nonlinearly constrained nonlinear optimization program is used to estimate the lower envelope as a constrained maximum likelihood problem, with the constraints specified by the expected value of the largest order statistics for the estimated angle of inclination. The present estimation procedure yields a value of H = 103 km/s per Mpc for the light echo model and a value of H = 46 km/s per Mpc for the dipole field models. In all the cases considered, a large excess of sources is found at low-inclinations angles (high apparent velocities), suggesting a strong contamination of the sample by relativistic beam sources which would only be seen at low inclination angles.
Geldzahler Barry J.
Nash Stephen G.
Rust Bert W.
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