A comparison of procedures for estimating the parent probability distribution from a given set of fractiles

A comparison of procedures for estimating the parent probability distribution from a given set of fractiles

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Article ID: iaor2001525
Country: Netherlands
Volume: 120
Issue: 3
Start Page Number: 657
End Page Number: 670
Publication Date: Feb 2000
Journal: European Journal of Operational Research
Authors: , ,
Keywords: risk
Abstract:

On one hand, eliciting subjective probabilities (fractiles) is a well-established procedure. On the other hand, knowledge of a subjective variable’s central moments or distribution function is often assumed. However, the problem of converting elicited fractiles into the required moments or distribution function has been largely ignored. We show that this conversion problem is far from trivial, and that the most commonly used conversion procedures often produce huge errors. Alternative procedures are proposed; the ‘Tocher's curve’ and ‘linear function of fractiles’ methods are shown to be much more accurate than the commonly used procedures.

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