Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10525875 | Statistics & Probability Letters | 2005 | 13 Pages |
Abstract
We obtain one-sided bounds for differences of expected extreme order statistics, when the involved random vectors have (integrable) independent components, and the marginal distributions satisfy a suitable condition. The general results are applied to random samples whose parent distributions are binomial, Poisson, and negative binomial distributions having the same mean. We also derive a method to give lower (upper) bounds for expected maxima (minima) of integrable independent random variables.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
J. de la Cal, J. Cárcamo,