Asymptotically optimal cells for a histogram

DOI10.1214/aos/1176350490zbMath0631.62049OpenAlexW1964085646MaRDI QIDQ1094779

Atsuyuki Kogure

Publication date: 1987

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176350490

zbMATH Keywords

histogramoptimal partitionmean integrated squared errorinfimum of MISEpartitions of locally equisized cells

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05)

Related Items (10)

Estimation of marginal and spectral modes ⋮ Bin width selection in multivariate histograms by the combinatorial method ⋮ Optimal categorization ⋮ On bin–based density estimation ⋮ An optimal variable cell histogram ⋮ Combining regular and irregular histograms by penalized likelihood ⋮ Optimal parameter choice for error minimization in bivariate histograms ⋮ Local data-driven bandwidth choice for density estimation ⋮ Density estimation with distribution element trees ⋮ Computation of optimal parameters for bivariate histograms

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