Gibbs conditioning principle for log-concave independent random variables

Eric Cator, Pablo A. Ferrari

Let $\hat{I}{½}_1,\hat{I}{½}_2,\dots$ be a sequence of probabilities on the nonnegative integers, and $X=(X_1,X_2,\dots )$ be a sequence of independent random variables $X_i$ with law $\hat{I}{½}_i$. For…