Mobile robots for advanced applications have to act in environments which c
ontain moving obstacles (humans). Even though the motions of such obstacles
are not precisely predictable, usually they are not completely random; lon
g-term observation of obstacle behavior may thus yield valuable knowledge a
bout prevailing motion patterns. By incorporating such knowledge as statist
ical data, a new approach called statistical motion planning yields robot m
otions which are better adapted to the dynamic environment. To put these id
eas into practice, an experimental system has been developed. Cameras obser
ve the workspace in order to detect obstacle motion. Statistical data is de
rived and represented as a set of stochastic trajectories. This data can be
directly employed in order to calculate collision probability, i.e. the pr
obability of encountering an obstacle during the robot's motion. Further as
pects of motion planning are addressed: path planning which minimizes colli
sion probability, estimation of expected time to reach the goal and reactiv
e planning.