Susan and I have found empty UPS and FedEx delivery packages on our daily dog walks. Out of curiosity we traced a few back to the address and found they had been stolen off the doorstep. After reporting our concern to the delivery drivers, I was told that sometimes thieves follow delivery trucks around and take packages that look like they contain valuables or prescription drugs.
Typically the package will be replaced by the e-tailer, but if it was purchased from EBay or a private party, the customer is out of luck. Although you can request deliveries NOT be left if no one is home, my experience is this doesn’t always work. Some e-tailers and delivery firms will drop off packages at secure locations. That may be worth the additional cost if you expect delivery of an irreplaceable item. Don’t forget to tell relatives or others who may send gifts to you, especially around Christmas time.