You may still benefit from having a police report to support a claim with American Express.
How do you know that UPS delivered the carpet to your address?
You are right that i don't know that UPS actually delivered it to my house and not somewhere else. All i have is the tracking information from them that at least has the package going to the correct city (which is small).
Amex got back to me and indicated that I should use purchase protection. so we will see where that goes