Any dog may experience the Reverse Sneeze phenomenon. It is poorly understood physiologically since it is not of any medical significance (i.e., it is not dangerous or life-threatening).
During my 15 years as a full time veterinary technician, I have seen it happen to just about every size and shape of dog. Those with an elongated soft palate being more susceptible (Beagles do it
sooooo much).
Affected dogs get stuck sucking air IN, and cannot exhale while the spasm is active. Dogs can learn to relieve their paroxysms more quickly by licking the nose. I have taught many dogs to do this on command ("swallow").
Nasal mites should be suspected in endemic areas.
Read up to date info here:
Veterinary Information Network.