STATISTICAL TOOLS Sample Clauses

STATISTICAL TOOLS. The Remanufacturer shall use such statistical tools and methods to ensure product quality and manufacturing efficiency as may be designated by the Company from time to time.

STATISTICAL TOOLS. ‌ For two distributions X, Y over a finite space Ω, the statistical distance between X and Y is defined as Δ(X, Y )= 1 Σ Pr (X = ω) − Pr (Y = ω) (4) ω∈Ω Ω∗⊆Ω = max Σ Pr (X = ω) − Pr (Y = ω) . (5) ω∈Ω∗ The Kullback-Leibler divergence [36] between X and Y is defined as Pr (Y = ω) KL(X; Y )= Σ Pr (X = ω) log Pr (X = ω) , (6) ω∈Ω ∈ with the condition that Pr (Y = ω) > 0 for all ω Ω and the convention that 0 log(0) = 0. Xxxxxxx’x inequality [21, 34, 35] gives Δ(X, Y ) ≤ 1 KL(X; Y ) 1/2 . (7) Remark 1. Xxx et al. [23] recently introduced the chi-squared method to cryp- tography. The chi-squared method also relies on Xxxxxxx’x inequality (7), but in addition uses that where KL(X; Y ) ≤ χ2(X; Y ), (8) χ2(X; Y )=