On the Lossy Compression of Stable Sources

We propose a framework for the rate-distortion analysis that extends the Gaussian MSE setup for stable sources. Specifically, we study the rate-distortion function of $\alpha$-stable sources when the distortion constraint is specified using the recently defined notion of strength of the error variable. We also “generalize” the notion of $d$-tilted information under the new setup and use it to determine second-order terms for both fixed and variable-length codes.