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In actuarial science and statistics, graduation is the process of smoothing a crude set of observed rates (most often age-specific mortality rates) into a regular, smoothly progressing series taken to reflect the true underlying pattern once sampling roughness is removed, using methods that range from moving-weighted-average and Whittaker–Henderson smoothing to parametric and Bayesian models. Brockett and Zhang's 1986 Information theoretical mortality table graduation frames the task in information-theoretic terms, trading fidelity to the data against smoothness. The referent is a statistical smoothing operation applied to a table of estimates, sharing only a Latin root with a stacked haircut.[1]
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