Your responsibility to prove or provide evidence for a claim you have made, without being allowed to change the subject or avoid backing up the claim. The sister term to a burden of proof is a
red herring (a logical fallacy
tantamount to
derailing). When someone has the burden of proof and doesn't want to back up their statements, they will usually either commit a blatant red herring and try to sidetrack the conversation or try to shift the burden of proof onto the other person. Since few people can clearly list their beliefs and evidence about global warming, economic models and policies, and cause-and-effect social claims ("legalizing marijuana will make everyone into a drug addict!"), this will remain a major problem for many years to come.