Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1153386 | Statistics & Probability Letters | 2012 | 7 Pages |
Abstract
We propose an order statistics method for evaluating a multiple integral over a canonical simplex in this work. The method uses the conditional expectation for order statistics from a uniform distribution on [0,1][0,1]. We give, as an application, a new proof of classical results of Dirichlet and Liouville. Some new multiple-integral formulas are also obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Sun Ping,