Confidence bands for the CDF when sampling from a finite population.

We develop two methods for obtaining a confidence band for the cumulative distribution function (CDF) based on a simple random sample from a finite population of known size. The methods are exact when the population contains no repeated values, and conservative otherwise. The first method consists of using a Kolmogorov-Smirnov-type band, and the second method consists of combining together separate, equal-coverage-probability confidence intervals for each ordered population value. Confidence bands obtained using either method yield simultaneous confidence intervals for all ordered population values. Coverage probabilities are computed using a new recursive algorithm.

Main Author: Frey, Jesse.
Format: Villanova Faculty Authorship
Language: English
Published: 2009
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176361
PID vudl:176361
id vudl:176361
modeltype_str_mv vudl-system:CoreModel
vudl-system:CollectionModel
vudl-system:ResourceCollection
datastream_str_mv DC
PARENT-QUERY
PARENT-LIST-RAW
PARENT-LIST
MEMBER-QUERY
MEMBER-LIST-RAW
LICENSE
AGENTS
PROCESS-MD
RELS-EXT
hierarchytype
sequence_vudl_176339_str 0000000008
has_order_str no
hierarchy_top_id vudl:641262
hierarchy_top_title Villanova faculty author
hierarchy_parent_id vudl:176339
hierarchy_parent_title Frey Jesse
hierarchy_sequence 0000000008
hierarchy_first_parent_id_str vudl:176361
hierarchy_sequence_sort_str 0000000008
hierarchy_all_parents_str_mv vudl:172968
vudl:641262
vudl:176339
first_indexed 2014-01-11T22:16:33Z
last_indexed 2021-04-12T20:01:47Z
recordtype vudl
fullrecord <root> <url> http://digital.library.villanova.edu/files/vudl:176361/DC </url> <thumbnail> http://digital.library.villanova.edu/files/vudl:176361/THUMBNAIL </thumbnail> </root>
spelling
institution Villanova University
collection Digital Library
language English
dc_source_str_mv Computational Statistics and Data Analysis 53, 2009, 4126-4132.
author Frey, Jesse.
author_facet_str_mv Frey, Jesse.
author_or_contributor_facet_str_mv Frey, Jesse.
author_s Frey, Jesse.
spellingShingle Frey, Jesse.
Confidence bands for the CDF when sampling from a finite population.
author-letter Frey, Jesse.
author_sort_str Frey, Jesse.
dc_title_str Confidence bands for the CDF when sampling from a finite population.
title Confidence bands for the CDF when sampling from a finite population.
title_short Confidence bands for the CDF when sampling from a finite population.
title_full Confidence bands for the CDF when sampling from a finite population.
title_fullStr Confidence bands for the CDF when sampling from a finite population.
title_full_unstemmed Confidence bands for the CDF when sampling from a finite population.
collection_title_sort_str confidence bands for the cdf when sampling from a finite population.
title_sort confidence bands for the cdf when sampling from a finite population.
format Villanova Faculty Authorship
description We develop two methods for obtaining a confidence band for the cumulative distribution function (CDF) based on a simple random sample from a finite population of known size. The methods are exact when the population contains no repeated values, and conservative otherwise. The first method consists of using a Kolmogorov-Smirnov-type band, and the second method consists of combining together separate, equal-coverage-probability confidence intervals for each ordered population value. Confidence bands obtained using either method yield simultaneous confidence intervals for all ordered population values. Coverage probabilities are computed using a new recursive algorithm.
publishDate 2009
normalized_sort_date 2009-01-01T00:00:00Z
dc_date_str 2009
license_str protected
REPOSITORYNAME FgsRepos
REPOSBASEURL http://hades.library.villanova.edu:8088/fedora
fgs.state Active
fgs.label Confidence bands for the CDF when sampling from a finite population.
fgs.ownerId diglibEditor
fgs.createdDate 2019-10-01T20:45:46.222Z
fgs.lastModifiedDate 2021-04-12T19:16:48.468Z
dc.title Confidence bands for the CDF when sampling from a finite population.
dc.creator Frey, Jesse.
dc.description We develop two methods for obtaining a confidence band for the cumulative distribution function (CDF) based on a simple random sample from a finite population of known size. The methods are exact when the population contains no repeated values, and conservative otherwise. The first method consists of using a Kolmogorov-Smirnov-type band, and the second method consists of combining together separate, equal-coverage-probability confidence intervals for each ordered population value. Confidence bands obtained using either method yield simultaneous confidence intervals for all ordered population values. Coverage probabilities are computed using a new recursive algorithm.
dc.date 2009
dc.format Villanova Faculty Authorship
dc.identifier vudl:176361
dc.source Computational Statistics and Data Analysis 53, 2009, 4126-4132.
dc.language en
license.mdRef http://digital.library.villanova.edu/copyright.html
agent.name Falvey Memorial Library, Villanova University
KHL
has_thumbnail false
relsext.hasModel info:fedora/vudl-system:CoreModel
info:fedora/vudl-system:CollectionModel
info:fedora/vudl-system:ResourceCollection
relsext.sortOn title
relsext.isMemberOf info:fedora/vudl:176339
relsext.sequence vudl:176339#8
_version_ 1696866194436390912
score 13.586031
subpages