Re: A disarmingly simple conjecture

2001-04-28 Thread Donald Burrill
On Wed, 18 Apr 2001, Giuseppe Andrea Paleologo wrote: > I am dealing with a simple conjecture. Given two generic positive > random variables, is it always true that the sum of the quantiles (for > a given value p) is greater or equal than the quantile of the sum? > < snip, technical t

Re: A disarmingly simple conjecture

2001-04-26 Thread Herman Rubin
In article <[EMAIL PROTECTED]>, Glen Barnett <[EMAIL PROTECTED]> wrote: >Giuseppe Andrea Paleologo wrote: >> I am dealing with a simple conjecture. Given two generic positive random >> variables, is it always true that the sum of the quantiles (for a given >> value p) is greater or equal than th

Re: A disarmingly simple conjecture

2001-04-26 Thread Glen Barnett
Giuseppe Andrea Paleologo wrote: > > I am dealing with a simple conjecture. Given two generic positive random > variables, is it always true that the sum of the quantiles (for a given > value p) is greater or equal than the quantile of the sum? > > In other words, let X, Y be positive random var

A disarmingly simple conjecture

2001-04-18 Thread Giuseppe Andrea Paleologo
I am dealing with a simple conjecture. Given two generic positive random variables, is it always true that the sum of the quantiles (for a given value p) is greater or equal than the quantile of the sum? In other words, let X, Y be positive random variables with continuous but arbitrary joint CD