Re: Slutsky's theorem

2001-12-10 Thread Herman Rubin
In article [EMAIL PROTECTED], kjetil halvorsen [EMAIL PROTECTED] wrote: Slutsky's theorem says that if Xn -(D) X and Yn -(P) y0, y0 a constant, then Xn + Yn -(D) X+y0. It is easy to make a counterexample if both Xn and Yn converges in distribution. Anybody have an counterexample when Yn

Slutsky's theorem

2001-12-06 Thread kjetil halvorsen
Slutsky's theorem says that if Xn -(D) X and Yn -(P) y0, y0 a constant, then Xn + Yn -(D) X+y0. It is easy to make a counterexample if both Xn and Yn converges in distribution. Anybody have an counterexample when Yn converges in probability to a non-constant random variable? Kjetil Halvorsen