Bound on the Expectation of the ratio of two random variables not necessarily independent

by Avah   Last Updated September 11, 2019 19:20 PM

Suppose we have two sequences of random variables $\{X_n\}$ and $\{Y_n\}$ with $X_n \ge Y_n \ge 1$ such that $\mathbb{E}[X_n - Y_n] < c$ (for some constant $c$).

Is it possible $\mathbb{E}[X_n/Y_n]$ is unbounded?



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