Support vs sample space


New Member
I understand that the term support is not used in the same sense in mathamtics and statistics. However, I cannot really understand difference between support and sample space when it comes to statistics. Could you say that the support isa subset of the sample space, i.e. all sample points that are not zero?

Another defintion I have heard during a lecture is the following: the sample space is the events (e.g. heads and tails tossing a coin) while the support is set of numbers for these events (e.g. heads=0, tails=1).

Are there any defintions agreed upon?