A conditional strong large deviation result and a functional central limit theorem for the rate function

Anton Bovier, Hannah Mayer

We study the large deviation behaviour of $S_n={\sum }_{j=1}^n{W}_j{Z}_j$, where $(W_j{)}_{j\in \mathbb{N}}$ and $(Z_j{)}_{j\in \mathbb{N}}$ are sequences of real-valued, independent and ide…