Statistical close

Statistical close

Let the "statistical difference [Amit Sahai, Salil P. Vadhan: A complete problem for statistical zero knowledge. J. ACM 50(2): 196-249 (2003)] between two distributions X and Y be defined as

Delta(X,Y)=frac{1}{2} sum _a | Pr [X=alpha] - Pr [Y=alpha] |.

We say that two probability ensembles {X_k}_{kinN} and {Y_k}_{kinN} are statistical close if Delta(X_k,Y_k) is a negligible function in k.

Statistical difference is based on the L1_norm.

References

ee also

* Zero-knowledge proof


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