Article ID Journal Published Year Pages File Type
1151063 Statistical Methodology 2009 7 Pages PDF
Abstract

It is shown that density functions of generalized order statistics can be interpreted as divided differences. Moreover, it turns out that the cumulative distribution functions can be understood as a certain Hermite interpolation polynomial evaluated at the origin. The particular cases of order statistics and record values lead to a Lagrange interpolation polynomial and a Taylor polynomial, respectively.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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