A curious property of the derivatives of the Cauchy density

Peter Hall, J. Steven Marron and D. M. Titterington

Statistics & Probability Letters, 1996, vol. 27, issue 3, 225-229

Abstract: 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.

Keywords: Cauchy; quantiles; Decagon; Density; estimation; Student-t (search for similar items in EconPapers)
Date: 1996
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