  A quantitative version of strong localization of the Kobayashi, Azukawa and
Sibony metrics, as well as of the squeezing function, near a plurisubharmonic
peak boundary point of a domain in $\Bbb C^n$ is given. As an application, the
behavior of these metrics near a strictly pseudoconvex boundary point is
studied. A weak localization of the three metrics and the squeezing function is
also given near a plurisubharmonic antipeak boundary point.
