A curious property of the derivatives of the Cauchy density

It is shown that the zeros of the derivatives of the Cauchy density occur at quantiles that are regularly spaced in terms of probability. A few non-statistical consequences are obtained and the derivatives of the Student-t densities are give closed form expressions.

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Year of publication:	1996
Authors:	Hall, Peter ; Marron, J. Steven ; Titterington, D. M.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 27.1996, 3, p. 225-229
Publisher:	Elsevier
Keywords:	Cauchy quantiles Decagon Density estimation Student-t

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005223733