On the statistical use of trigonometric parallaxes

Details On the statistical use of trigonometric parallaxes On the statistical use of trigonometric parallaxes

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977a%26a....56..273t&link_type=abstract

Astronomy and Astrophysics, vol. 56, no. 1-2, Apr. 1977, p. 273-281.

Astronomy and Astrophysics

Astrophysics

31

Error Analysis, Maximum Likelihood Estimates, Parallax, Statistical Distributions, Stellar Magnitude, Distribution Functions, Dwarf Stars, F Stars, Instrument Errors, Standard Deviation, Stellar Luminosity, Stellar Spectrophotometry, Trigonometric Functions

Scientific paper

Systematic errors arising in less precise measurements of trigonometric parallaxes and in the statistical treatment of such parallaxes are reviewed. Conditions under which low-accuracy parallaxes can be used in calibration problems are defined, and a maximum-likelihood method is presented for simultaneously determining the systematic errors in trigonometric parallaxes and unbiased estimates of absolute magnitudes. This method is employed to obtain a solution for a sample of 206 F-type dwarfs with available parallax data and Stromgren photometry. As a result, the relation between ZAMS absolute magnitude and the Stromgren beta index is recalibrated.

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