# A comparison of automatic histogram constructions

Laurie Davies; Ursula Gather; Dan Nordman; Henrike Weinert

ESAIM: Probability and Statistics (2009)

- Volume: 13, page 181-196
- ISSN: 1292-8100

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topDavies, Laurie, et al. "A comparison of automatic histogram constructions." ESAIM: Probability and Statistics 13 (2009): 181-196. <http://eudml.org/doc/250660>.

@article{Davies2009,

abstract = {
Even for a well-trained statistician the construction of a histogram
for a given real-valued data set is a difficult problem. It is even
more difficult to construct a fully automatic procedure which
specifies the number and widths of the bins in a satisfactory manner
for a wide range of data sets. In this paper we compare several
histogram construction procedures by means of a simulation
study. The study includes plug-in methods, cross-validation,
penalized maximum
likelihood and the taut string procedure. Their performance on
different test beds is measured by
their ability to identify the peaks of an underlying density as
well as by Hellinger distance.
},

author = {Davies, Laurie, Gather, Ursula, Nordman, Dan, Weinert, Henrike},

journal = {ESAIM: Probability and Statistics},

keywords = {Regular histogram; model selection; penalized
likelihood; taut string; regular histogram; penalized likelihood},

language = {eng},

month = {6},

pages = {181-196},

publisher = {EDP Sciences},

title = {A comparison of automatic histogram constructions},

url = {http://eudml.org/doc/250660},

volume = {13},

year = {2009},

}

TY - JOUR

AU - Davies, Laurie

AU - Gather, Ursula

AU - Nordman, Dan

AU - Weinert, Henrike

TI - A comparison of automatic histogram constructions

JO - ESAIM: Probability and Statistics

DA - 2009/6//

PB - EDP Sciences

VL - 13

SP - 181

EP - 196

AB -
Even for a well-trained statistician the construction of a histogram
for a given real-valued data set is a difficult problem. It is even
more difficult to construct a fully automatic procedure which
specifies the number and widths of the bins in a satisfactory manner
for a wide range of data sets. In this paper we compare several
histogram construction procedures by means of a simulation
study. The study includes plug-in methods, cross-validation,
penalized maximum
likelihood and the taut string procedure. Their performance on
different test beds is measured by
their ability to identify the peaks of an underlying density as
well as by Hellinger distance.

LA - eng

KW - Regular histogram; model selection; penalized
likelihood; taut string; regular histogram; penalized likelihood

UR - http://eudml.org/doc/250660

ER -

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