A statistical model can be represented as $\mathcal{(S,P)}$ where $\mathcal{S}$ represents a sample space and $\mathcal{P}$ a set of possible probability distributions on $\mathcal{S}$. One of the probability distributions in $\mathcal{P}$ is assumed approximates the "true" probability distribution induced by the process. My question is if "process" in this context is synonymous to the idea of a "random experiment" represented as a probability space $(\varOmega,\mathcal{F},\mathcal{P})$?
2026-04-01 10:23:35.1775039015
Does "process" refer to "random experiment" in the definition of a statistical model?
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