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Let, for each ∈ , (, ۔) be a random measure on the Borel -algebra in ℝ such that E(, ℝ) < ∞ for all and let $\widehat{\psi }$(, ۔) be its characteristic function. We call the function $\widehat{\psi }$ ( ,…, ; ,…, ) = $𝖤{\prod }_{j=1}^l\widehat{\psi }(t_j,z_j)$ of arguments ∈ ℕ, , … ∈ , , ∈ ℝ the of the measure-valued random function (MVRF) (۔, ۔). A general limit theorem for MVRF's in terms of covaristics is proved and applied to functions...

Let, for each , (, ۔) be a random measure on the Borel -algebra in ℝ such that E(, ℝ) < ∞ for all and let $\widehat{\psi }$(, ۔) be its characteristic function. We call the function $\widehat{\psi }$ ( ,…, ; ,…, ) = $𝖤{\prod }_{j=1}^l\widehat{\psi }(t_j,z_j)$ of arguments ℕ, , … , , ℝ the of the measure-valued random function (MVRF) (۔, ۔). A general limit...