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in 1974.

Random measure

A random measure is a measure-valued random element. Let X be a complete separable metric space and the ?-algebra of its Borel sets. A Borel measure u on X is boundedly finite if u(A) < ? for every bounded Borel set A. Let be the space of all boundedly finite measures on . Let (?, F, ''P'') be a probability space, then a random measure maps from this probability space to the measurable space ($M\_X$, $\backslash mathfrak\{BM\_X)$)}}. A measure generally might be decomposed as:

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