Robbed or Burglarized?
Big difference to moi.
You can only keep honest people honest. A Pro is gonna get in, get stuff and get out.
It's the stoned teenage crackhead with a .38 I'd be worried about running into in person.
Or someone that knows about your toys and wants them bad enough. Or has told someone else about your toys...
Some items you can (and should) put in a good safe. Slow em down a bit (maybe).
Material possessions... let em go and replace (your homeowner's or renter's policy does cover that right?). Getting ripped off hurts.
Finding someone commiting a "hot" burglary while you're in the house (or your loved one) is another thing altogether. Getting killed probably hurts worse than getting ripped off.
If you're in England, (Chicago, Wash. DC, etc.) help them load your/their possessions into their getaway car and maybe fix them a spot of tea. This seems to be in keeping with the "Good Form" manner that the "Intelligentsia" and the Police would lately have you provide your guests.
In Texas, you have other choices.
Dogs, Lights, Locks, Screens/barred windows, alarms, neighborhood watch, ask for police drive-bys now and again, a good safe... loaded firearm within reach... sounds about right to me.
Adios