Chenthil,
Couldn't you just sign into the Child NS directly and look at the policy there to see if everything looks right? I would probably start by checking that the associated packages are replicated down to your Child NS and\or package servers.
You can also look at the reports in Reports > Notification Server Management > Server > Hierarchy for alerts and lists of the objects marked for replication. In some of those Reports, if you right click on the Replication Jobs you can drill down for more details.