Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1151063 | Statistical Methodology | 2009 | 7 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Erhard Cramer,