Simple and effective number-of-bins circumference selectors for a histogram

Beer, C. F. De ; Swanepoel, J. W. H.
Springer
Published 1999
ISSN:
1573-1375
Keywords:
Bins ; bootstrap ; circumference ; data-driven selector ; density estimation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Mathematics
Notes:
Abstract Two very effective data-based procedures which are simple and fast to compute are proposed for selecting the number of bins in a histogram. The idea is to choose the number of bins that minimizes the circumference (or a bootstrap estimate of the expected circumference) of the frequency histogram. Contrary to most rules derived in the literature, our method is therefore not dependent on precise asymptotic analyses. It is shown by means of an extensive Monte-Carlo study that our selectors perform well in comparison with recently suggested selectors in the literature, for a wide range of density functions and sample sizes. The behaviour of one of the proposed rules is also illustrated on real data sets.
Type of Medium:
Electronic Resource
URL:
_version_ 1798296598624600064
autor Beer, C. F. De
Swanepoel, J. W. H.
autorsonst Beer, C. F. De
Swanepoel, J. W. H.
book_url http://dx.doi.org/10.1023/A:1008858025515
datenlieferant nat_lic_papers
hauptsatz hsatz_simple
identnr NLM189962615
issn 1573-1375
journal_name Statistics and computing
materialart 1
notes Abstract Two very effective data-based procedures which are simple and fast to compute are proposed for selecting the number of bins in a histogram. The idea is to choose the number of bins that minimizes the circumference (or a bootstrap estimate of the expected circumference) of the frequency histogram. Contrary to most rules derived in the literature, our method is therefore not dependent on precise asymptotic analyses. It is shown by means of an extensive Monte-Carlo study that our selectors perform well in comparison with recently suggested selectors in the literature, for a wide range of density functions and sample sizes. The behaviour of one of the proposed rules is also illustrated on real data sets.
package_name Springer
publikationsjahr_anzeige 1999
publikationsjahr_facette 1999
publikationsjahr_intervall 8004:1995-1999
publikationsjahr_sort 1999
publisher Springer
reference 9 (1999), S. 27-35
schlagwort Bins
bootstrap
circumference
data-driven selector
density estimation
search_space articles
shingle_author_1 Beer, C. F. De
Swanepoel, J. W. H.
shingle_author_2 Beer, C. F. De
Swanepoel, J. W. H.
shingle_author_3 Beer, C. F. De
Swanepoel, J. W. H.
shingle_author_4 Beer, C. F. De
Swanepoel, J. W. H.
shingle_catch_all_1 Beer, C. F. De
Swanepoel, J. W. H.
Simple and effective number-of-bins circumference selectors for a histogram
Bins
bootstrap
circumference
data-driven selector
density estimation
Bins
bootstrap
circumference
data-driven selector
density estimation
Abstract Two very effective data-based procedures which are simple and fast to compute are proposed for selecting the number of bins in a histogram. The idea is to choose the number of bins that minimizes the circumference (or a bootstrap estimate of the expected circumference) of the frequency histogram. Contrary to most rules derived in the literature, our method is therefore not dependent on precise asymptotic analyses. It is shown by means of an extensive Monte-Carlo study that our selectors perform well in comparison with recently suggested selectors in the literature, for a wide range of density functions and sample sizes. The behaviour of one of the proposed rules is also illustrated on real data sets.
1573-1375
15731375
Springer
shingle_catch_all_2 Beer, C. F. De
Swanepoel, J. W. H.
Simple and effective number-of-bins circumference selectors for a histogram
Bins
bootstrap
circumference
data-driven selector
density estimation
Bins
bootstrap
circumference
data-driven selector
density estimation
Abstract Two very effective data-based procedures which are simple and fast to compute are proposed for selecting the number of bins in a histogram. The idea is to choose the number of bins that minimizes the circumference (or a bootstrap estimate of the expected circumference) of the frequency histogram. Contrary to most rules derived in the literature, our method is therefore not dependent on precise asymptotic analyses. It is shown by means of an extensive Monte-Carlo study that our selectors perform well in comparison with recently suggested selectors in the literature, for a wide range of density functions and sample sizes. The behaviour of one of the proposed rules is also illustrated on real data sets.
1573-1375
15731375
Springer
shingle_catch_all_3 Beer, C. F. De
Swanepoel, J. W. H.
Simple and effective number-of-bins circumference selectors for a histogram
Bins
bootstrap
circumference
data-driven selector
density estimation
Bins
bootstrap
circumference
data-driven selector
density estimation
Abstract Two very effective data-based procedures which are simple and fast to compute are proposed for selecting the number of bins in a histogram. The idea is to choose the number of bins that minimizes the circumference (or a bootstrap estimate of the expected circumference) of the frequency histogram. Contrary to most rules derived in the literature, our method is therefore not dependent on precise asymptotic analyses. It is shown by means of an extensive Monte-Carlo study that our selectors perform well in comparison with recently suggested selectors in the literature, for a wide range of density functions and sample sizes. The behaviour of one of the proposed rules is also illustrated on real data sets.
1573-1375
15731375
Springer
shingle_catch_all_4 Beer, C. F. De
Swanepoel, J. W. H.
Simple and effective number-of-bins circumference selectors for a histogram
Bins
bootstrap
circumference
data-driven selector
density estimation
Bins
bootstrap
circumference
data-driven selector
density estimation
Abstract Two very effective data-based procedures which are simple and fast to compute are proposed for selecting the number of bins in a histogram. The idea is to choose the number of bins that minimizes the circumference (or a bootstrap estimate of the expected circumference) of the frequency histogram. Contrary to most rules derived in the literature, our method is therefore not dependent on precise asymptotic analyses. It is shown by means of an extensive Monte-Carlo study that our selectors perform well in comparison with recently suggested selectors in the literature, for a wide range of density functions and sample sizes. The behaviour of one of the proposed rules is also illustrated on real data sets.
1573-1375
15731375
Springer
shingle_title_1 Simple and effective number-of-bins circumference selectors for a histogram
shingle_title_2 Simple and effective number-of-bins circumference selectors for a histogram
shingle_title_3 Simple and effective number-of-bins circumference selectors for a histogram
shingle_title_4 Simple and effective number-of-bins circumference selectors for a histogram
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source_archive Springer Online Journal Archives 1860-2000
timestamp 2024-05-06T09:54:39.075Z
titel Simple and effective number-of-bins circumference selectors for a histogram
titel_suche Simple and effective number-of-bins circumference selectors for a histogram
topic SQ-SU
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