Kolmogorov, Smirnov, and Chebyshev Walk Into Factory: The Mathematics Behind the Cpk Normality Assumption
The mathematical proof that your Cpk is wrong: Kolmogorov–Smirnov convergence, Chebyshev’s inequality, and why σ-based intervals fail when the empirical CDF diverges from the Gaussian hypothesis. A master’s-level walkthrough of what the Cpk normality assumption actually assumes — and where it breaks
Alex Dyba
