Let $X$ be a continuous, symmetric random variable such that its characteristic function $\phi_X$ is real, symmetric and with $\lim_{t\to\infty}\phi_X(t)=0$. What other properties must $X$ have in order to guarantee that $\phi_X$ is monotone in the interval $(0,\infty)$?
2026-03-29 13:47:07.1774792027
Monotone characteristic function
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