Optimal parameter choice for error minimization in bivariate histograms

J. A. Huesemann and G. R. Terrell

Journal of Multivariate Analysis, 1991, vol. 37, issue 1, 85-103

Abstract: Scott, Freedman, and Diaconis derived expressions for optimal interval widths in fixed-interval univariate histograms and Terrell and Scott obtained corresponding results for variable-interval univariate histograms. The present paper considers the more general problem of optimal fixed and variable cell dimensions in several varieties of bivariate histograms. Optimal cell dimensions are derived, theoretically optimal histograms are constructed, and simulation studies are performed.

Keywords: histogram; nonparametric; density; estimation; optimal; class; intervals (search for similar items in EconPapers)
Date: 1991
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0047-259X(91)90113-G
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:jmvana:v:37:y:1991:i:1:p:85-103

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Journal of Multivariate Analysis is currently edited by de Leeuw, J.

More articles in Journal of Multivariate Analysis from Elsevier
Bibliographic data for series maintained by Catherine Liu ().