Article ID Journal Published Year Pages File Type
1153386 Statistics & Probability Letters 2012 7 Pages PDF
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
,