# pr.likelihood – Is the clique of likelihood measures on \$mathbb{R}\$ completely steady with bounded density a closed subset? retort

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## pr.likelihood – Is the clique of likelihood measures on \$mathbb{R}\$ completely steady with bounded density a closed subset?

Clarification: Here $$mu$$ being completely steady means being completely steady with respect to the Lebesgue touchstone $$dx$$: $$mu(A)=int_A fdx$$ for some $$f$$ for all Lebesgue measurable $$A$$. Having bounded density means the density capabilities of those likelihood measures are uniformly bounded by a ceaseless. too, closed means closed underneath feeble topology on the area of likelihood measures of $$mathbb{R}$$, $$mu_n$$ converge to $$mu$$ if and provided that $$int_mathbb{R} fdmu_ntoint_mathbb{R} fdmu$$ for all bounded steady $$f$$.

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