Gaia Data Release 2
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Table 1

Average bias and standard deviation in three regimes of fapp for four distance estimators discussed in this paper:

Summary fapp Range EDSD UD SE ML
Bias (–1,1) –0.2 9.7 34.2 –0.95
(–5,5) –0.3 10.7 –0.34 –1.2
(–50,50) –0.3 16.2 –0.4 –3.8

Std. Deviation (–1,1) 0.4 8.0 685.8 0.5
(–5,5) 0.4 8.4 0.5 1.95
(–50,50) 0.4 10.6 0.4 17.1

Notes. From left to right: the mode of the posterior based on the exponentially decreasing space density (EDSD) prior; the mode of the posterior of the uniform distance (UD) distribution; the maximum likelihood estimate corrected according to Smith & Eichhorn (1996) abbreviated as SE; and the maximum likelihood (ML) estimate. The wider ranges of fapp exclude narrower ranges shown in previous rows of the table.

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