Optimal parameter choice for error minimization in bivariate histograms

DOI10.1016/0047-259X(91)90113-GzbMath0744.62056MaRDI QIDQ1174800

J. A. Huesemann, George R. Terrell

Publication date: 25 June 1992

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

density estimationhistogram estimatorssimulation studiesbivariate histogramsfixed-interval univariate histogramsminimization of erroroptimal cell dimensionsoptimal class intervalsoptimal histogramsvariable cell dimensionsvariable-interval univariate histograms

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric estimation (62G05) Probabilistic methods, stochastic differential equations (65C99)

Cites Work

• Asymptotically optimal cells for a histogram
• Mean integrated square error properties of density estimates
• On optimal and data-based histograms
• Remarks on Some Nonparametric Estimates of a Density Function
• Frequency Polygons: Theory and Application
• On the histogram as a density estimator:L 2 theory