2016/06/09 by James S. Weber, Weber, James S.
Computer Science · Mathematics · #62-01 #62-07 #62-09 #Advanced Statistical Methods and Models #Bayesian Methods and Mixture Models #FOS: Computer and information sciences #Methodology (stat.ME) #Statistical Methods and Inference
paper · pdf · doi:10.48550/arxiv.1606.04891
openalex publication_date 2016/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A clear articulation of Method of Moments (MOM) Histograms is instructive and has waited 121 years since 1895. Also of interest are enabling uniform bin width (UBW) shape level sets. Mean-variance MOM uniform bin width frequency and density histograms are not unique, however ranking them by histogram skewness compared to data skewness helps. Although theoretical issues rarely take second place to calculations, here calculations based on shape level sets are central and challenge uncritically accepted practice. Complete understanding requires familiarity with histogram shape level sets and arithmetic progressions in the data.