Abstract
A Bayesian solution is presented to the problem of straight-line fitting when both variables x and y are subject to error. The solution, which is fully symmetric with respect to x and y, contains a very surprising feature: it requires a informative prior for the distribution of sample positions. An uninformative prior leads to a bias in the estimated slope.
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© 1989 Springer Science+Business Media New York
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Gull, S.F. (1989). Bayesian Data Analysis: Straight-line fitting. In: Skilling, J. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7860-8_55
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DOI: https://doi.org/10.1007/978-94-015-7860-8_55
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4044-2
Online ISBN: 978-94-015-7860-8
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