SlowGuess/NeurIPS_2023_OCR huggingface dataset:
$$
\mathbb {P} \left[ \frac {1}{n} \sum_ {i = 1} ^ {n} Z _ {i} \geq (1 + \delta) \cdot \mu \right] \leq \exp \Big (- \frac {\delta^ {2} \mu n}{2 + \delta} \Big).
$$
Furthermore for any  $\delta \in (0,1)$
$$
\mathbb {P} \left[ \frac {1}{n} \sum_ {i = 1} ^ {n} Z _ {i} \leq (1 - \delta) \cdot \mu \right] \leq \exp \left(- \frac {\delta^ {2} \mu n}{2}\right).
$$