Lt g1 g2 be continuous functions on a b r such that gnx
Let g1, g2,... be continuous functions on (a, b) ⊂ R such that gn(x) → g(x) uniformly for x in any closed subinterval of (a, b). Let Tn be a consistent estimator of θ ∈ (a, b). Show that gn(Tn) is consistent for ϑ = g(θ).
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let g1 g2 be continuous functions on a b sub r such that gnx rarr gx uniformly for x in any closed subinterval of a b
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