Re: [R] order statistic of multivariate normal

2013-03-22 Thread Ranjan Maitra
On Fri, 22 Mar 2013 09:31:53 -0700 Bert Gunter wrote: > Well... > > On Fri, Mar 22, 2013 at 8:20 AM, Ranjan Maitra < > maitra.mbox.igno...@inbox.com> wrote: > > > I don't believe that you necessarily need to use simulation for this. > > But you do need numerical integration. Here is a skeletal

Re: [R] order statistic of multivariate normal

2013-03-22 Thread Bert Gunter
Well... On Fri, Mar 22, 2013 at 8:20 AM, Ranjan Maitra < maitra.mbox.igno...@inbox.com> wrote: > I don't believe that you necessarily need to use simulation for this. > But you do need numerical integration. Here is a skeletal approach. > > Calculate the density (distribution) of the order statis

Re: [R] order statistic of multivariate normal

2013-03-22 Thread li li
Thank you! Hanna 2013/3/22 Ranjan Maitra > I don't believe that you necessarily need to use simulation for this. > But you do need numerical integration. Here is a skeletal approach. > > Calculate the density (distribution) of the order statistics of a > multivariate sample. Then since the u

Re: [R] order statistic of multivariate normal

2013-03-22 Thread Ranjan Maitra
I don't believe that you necessarily need to use simulation for this. But you do need numerical integration. Here is a skeletal approach. Calculate the density (distribution) of the order statistics of a multivariate sample. Then since the underlying distribution is multivariate normal, use a mult

Re: [R] order statistic of multivariate normal

2013-03-22 Thread li li
Yes. What I meant is "the distribution of order statistics from a non-iid sample of a (normal) distribution with specified sample covariance matrix". Thanks for the idea of simulation. I guess there is no other way around. Hanna 2013/3/22 Bert Gunter > As you suggest, Ted, it appears fro

Re: [R] order statistic of multivariate normal

2013-03-22 Thread Bert Gunter
As you suggest, Ted, it appears from the question that the OP really means "order statistics of a sample of 10 from the distribution." So what she appears to want is the distribution of order statistics from a non-iid sample of a (normal) distribution with specified sample covariance matrix. The

Re: [R] order statistic of multivariate normal

2013-03-22 Thread Ted Harding
On 22-Mar-2013 13:02:25 li li wrote: > Thank you all for the reply. > > One example of my question is as follows. > > Suppose X1, ..., X10 has multivariate normal distribution > and X(1), ..., X(10) are the corresponding order statistics. > > My question is that whether there is a R function tha

Re: [R] order statistic of multivariate normal

2013-03-22 Thread li li
Thank you all for the reply. One example of my question is as follows. Suppose X1, ..., X10 has multivariate normal distribution and X(1), ..., X(10) are the corresponding order statistics. My question is that whether there is a R function that would help compute the c which satisfies P(X(4) >

Re: [R] order statistic of multivariate normal

2013-03-21 Thread Rui Barradas
Hello, Em 21-03-2013 21:42, Albyn Jones escreveu: R^n for n > 1 is not an ordered set. Theorem. All sets are well ordered. (This theorem is equivalent to the Axiom of Choice.) Rui Barradas albyn On Thu, Mar 21, 2013 at 02:32:44PM -0700, David Winsemius wrote: On Mar 21, 2013, at 1:44 PM

Re: [R] order statistic of multivariate normal

2013-03-21 Thread Albyn Jones
R^n for n > 1 is not an ordered set. albyn On Thu, Mar 21, 2013 at 02:32:44PM -0700, David Winsemius wrote: > > On Mar 21, 2013, at 1:44 PM, li li wrote: > > > Hi all, > > Is there an R function that computes the probabilty or quantiles of > > order statistics of multivariate normal? > > Thank

Re: [R] order statistic of multivariate normal

2013-03-21 Thread David Winsemius
On Mar 21, 2013, at 1:44 PM, li li wrote: > Hi all, > Is there an R function that computes the probabilty or quantiles of > order statistics of multivariate normal? > Thank you. There is an mvtnorm package. I don't know what you mean by "quantiles of order statistics of multivariate normal", t

[R] order statistic of multivariate normal

2013-03-21 Thread li li
Hi all, Is there an R function that computes the probabilty or quantiles of order statistics of multivariate normal? Thank you. Hanna [[alternative HTML version deleted]] __ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/