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Theoretical Entities in Statistical Explanation

The ideas in this paper are based on an analysis of statistical explanation that uses the information transmitted by a theory [2]. Consider a theory that specifies a probability distribution on the events of some domain, where for purposes of analysis we divide the variables that describe the domain into two sets: [M], a set of variables whose values are to be explained, and [S], a set of variables whose values are used to explain the values of the variables in [M].