Finite-sample uncertainty in capability indices is nonlinearly amplified into defect-risk metrics via tail curvature, producing decision instability near thresholds.
Generalized confidence intervals for process capability indices.Quality and reliability engineering international, 23(4):471–481, 2007
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Risk-calibrated process capability approval uses a threshold of C0 plus k times the standard error of the C_pk estimate, with k chosen from tolerable failure probability or false-accept/false-reject cost ratio.
citing papers explorer
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Nonlinear Amplification of Finite-Sample Uncertainty in Capability-Based Decisions
Finite-sample uncertainty in capability indices is nonlinearly amplified into defect-risk metrics via tail curvature, producing decision instability near thresholds.
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Risk-Calibrated Process Capability Approval with Finite Samples
Risk-calibrated process capability approval uses a threshold of C0 plus k times the standard error of the C_pk estimate, with k chosen from tolerable failure probability or false-accept/false-reject cost ratio.