Suppose $\rightarrow_D $ denotes convergence in distribution. If we know
$$ f_1 \rightarrow_D W_1 $$ $$ f_2 \rightarrow_D W_2 $$ Can we say something about the convergence of $$ f_1 f_2 \rightarrow_D ? $$ $$ f_1 / f_2 \rightarrow_D ? $$
2026-03-27 17:35:23.1774632923
Asymptotic distribution of ratio / multiplication of two variables
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Hint: for the case where $W_{2}$ is a constant, see Slutsky's Theorem .