Friday, September 22, 2000, 1:30 - 2:30 p.m.

**
at LSK 301, 6356 Agricultural Road, UBC
**

**SPEAKER**: Professor Peter J. Rousseeuw

**TITLE**: Depth Tests of Symmetry and Regression

**ABSTRACT**:
The halfspace location depth can be used to test whether the center of
angular symmetry of a multivariate distribution equals a given point. When
the point is not given in advance, we can test whether the distribution is
angularly symmetric. Analogously, in the case of multiple regression (where
$x$ is multivariate and $y$ is univariate) the regression depth can be used
to test whether a distribution on $(x,y)$ has a conditional median equal
to a given linear funtion of $x$. When the linear function is not given, we
can test whether the conditional median of the distribution is linear.