On optimal and data-based histograms

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ID: 291734
1979
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Abstract
In this paper the formula for the optimal histogram bin width is derived which asymptotically minimizes the integrated mean squared error. Monte Carlo methods are used to verify the usefulness of this formula for small samples. A data-based procedure for choosing the bin width parameter is proposed, which assumes a Gaussian reference standard and requires only the sample size and an estimate of the standard deviation. The sensitivity of the procedure is investigated using several probability models which violate the Gaussian assumption.
Reference Key
openalex_W1982366717 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors David W. Scott
Journal jurnal biometrika dan kependudukan
Year 1979
DOI
10.1093/biomet/66.3.605
URL
https://doi.org/10.1093/biomet/66.3.605
Keywords Keywords not found

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