Yale University
Department of Statistics and Biostatistics
Monday, October 28, 1996
Evarist Gine
Department of Statistics
University of Connecticut
Seminar to be held in Room 107, 24 Hillhouse
Title: When is the Student t-statistic asymptotically standard
normal?
Abstract: Answering a question from Logan et al., AOP 1(1973)788--809, it is
shown that the student t-statistic based on an i.i.d. sequence
$X_i,\ i\in{\bf N}$, is asymptotically standard normal if and only if $X_1$
is in the domain of attraction of the normal law.