Asymptotic Theory of Testing Statistical Hypotheses : : Efficient Statistics, Optimality, Power Loss and Deficiency / / Vladimir E. Bening.
Saved in:
Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2000 |
Year of Publication: | 2011 |
Edition: | Reprint 2011 |
Language: | English |
Series: | Modern Probability and Statistics ,
|
Online Access: | |
Physical Description: | 1 online resource (277 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9783110935998 |
---|---|
ctrlnum |
(DE-B1597)57202 (OCoLC)979735876 |
collection |
bib_alma |
record_format |
marc |
spelling |
Bening, Vladimir E., author. aut http://id.loc.gov/vocabulary/relators/aut Asymptotic Theory of Testing Statistical Hypotheses : Efficient Statistics, Optimality, Power Loss and Deficiency / Vladimir E. Bening. Reprint 2011 Berlin ; Boston : De Gruyter, [2011] ©2000 1 online resource (277 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Modern Probability and Statistics , 1385-7738 I-IV -- Contents -- Foreword -- Preface -- Notations -- 1. Asymptotic test theory -- 2. Asymptotic expansions under alternatives -- 3. Power loss -- 4. Edgeworth expansion for the likelihood ratio -- A. LeCam's Third Lemma -- B. Convergence rate under alternatives -- C. Proof of Theorem 1.3.1 -- D. The Neyman-Pearson Lemma -- Ε. Edgeworth expansions -- F. Proof of Lemmas 2.6.1–2.6.5 -- G. Proof of Lemmas 3.7.1–3.7.5 -- Η. Asymptotically complete classes -- I. Higher order asymptotics for R-, L-, and U-statistics -- Bibliography -- Subject Index -- Author Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Asymptotic expansions. Statistical hypothesis testing. Asymptotisches Verhalten. Statistischer Test. Verteilung (Statistik). MATHEMATICS / Probability & Statistics / General. bisacsh Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-DITION 2: BEST OF MATHEMATICS, PHYSICS 9783110306569 ZDB-23-DBI print 9789067643238 https://doi.org/10.1515/9783110935998 https://www.degruyter.com/isbn/9783110935998 Cover https://www.degruyter.com/document/cover/isbn/9783110935998/original |
language |
English |
format |
eBook |
author |
Bening, Vladimir E., Bening, Vladimir E., |
spellingShingle |
Bening, Vladimir E., Bening, Vladimir E., Asymptotic Theory of Testing Statistical Hypotheses : Efficient Statistics, Optimality, Power Loss and Deficiency / Modern Probability and Statistics , I-IV -- Contents -- Foreword -- Preface -- Notations -- 1. Asymptotic test theory -- 2. Asymptotic expansions under alternatives -- 3. Power loss -- 4. Edgeworth expansion for the likelihood ratio -- A. LeCam's Third Lemma -- B. Convergence rate under alternatives -- C. Proof of Theorem 1.3.1 -- D. The Neyman-Pearson Lemma -- Ε. Edgeworth expansions -- F. Proof of Lemmas 2.6.1–2.6.5 -- G. Proof of Lemmas 3.7.1–3.7.5 -- Η. Asymptotically complete classes -- I. Higher order asymptotics for R-, L-, and U-statistics -- Bibliography -- Subject Index -- Author Index |
author_facet |
Bening, Vladimir E., Bening, Vladimir E., |
author_variant |
v e b ve veb v e b ve veb |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Bening, Vladimir E., |
title |
Asymptotic Theory of Testing Statistical Hypotheses : Efficient Statistics, Optimality, Power Loss and Deficiency / |
title_sub |
Efficient Statistics, Optimality, Power Loss and Deficiency / |
title_full |
Asymptotic Theory of Testing Statistical Hypotheses : Efficient Statistics, Optimality, Power Loss and Deficiency / Vladimir E. Bening. |
title_fullStr |
Asymptotic Theory of Testing Statistical Hypotheses : Efficient Statistics, Optimality, Power Loss and Deficiency / Vladimir E. Bening. |
title_full_unstemmed |
Asymptotic Theory of Testing Statistical Hypotheses : Efficient Statistics, Optimality, Power Loss and Deficiency / Vladimir E. Bening. |
title_auth |
Asymptotic Theory of Testing Statistical Hypotheses : Efficient Statistics, Optimality, Power Loss and Deficiency / |
title_alt |
I-IV -- Contents -- Foreword -- Preface -- Notations -- 1. Asymptotic test theory -- 2. Asymptotic expansions under alternatives -- 3. Power loss -- 4. Edgeworth expansion for the likelihood ratio -- A. LeCam's Third Lemma -- B. Convergence rate under alternatives -- C. Proof of Theorem 1.3.1 -- D. The Neyman-Pearson Lemma -- Ε. Edgeworth expansions -- F. Proof of Lemmas 2.6.1–2.6.5 -- G. Proof of Lemmas 3.7.1–3.7.5 -- Η. Asymptotically complete classes -- I. Higher order asymptotics for R-, L-, and U-statistics -- Bibliography -- Subject Index -- Author Index |
title_new |
Asymptotic Theory of Testing Statistical Hypotheses : |
title_sort |
asymptotic theory of testing statistical hypotheses : efficient statistics, optimality, power loss and deficiency / |
series |
Modern Probability and Statistics , |
series2 |
Modern Probability and Statistics , |
publisher |
De Gruyter, |
publishDate |
2011 |
physical |
1 online resource (277 p.) Issued also in print. |
edition |
Reprint 2011 |
contents |
I-IV -- Contents -- Foreword -- Preface -- Notations -- 1. Asymptotic test theory -- 2. Asymptotic expansions under alternatives -- 3. Power loss -- 4. Edgeworth expansion for the likelihood ratio -- A. LeCam's Third Lemma -- B. Convergence rate under alternatives -- C. Proof of Theorem 1.3.1 -- D. The Neyman-Pearson Lemma -- Ε. Edgeworth expansions -- F. Proof of Lemmas 2.6.1–2.6.5 -- G. Proof of Lemmas 3.7.1–3.7.5 -- Η. Asymptotically complete classes -- I. Higher order asymptotics for R-, L-, and U-statistics -- Bibliography -- Subject Index -- Author Index |
isbn |
9783110935998 9783110238570 9783110238471 9783110637205 9783110306569 9789067643238 |
issn |
1385-7738 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA277 |
callnumber-sort |
QA 3277 B46 42000EB |
url |
https://doi.org/10.1515/9783110935998 https://www.degruyter.com/isbn/9783110935998 https://www.degruyter.com/document/cover/isbn/9783110935998/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
519 - Probabilities & applied mathematics |
dewey-full |
519.5/6 |
dewey-sort |
3519.5 16 |
dewey-raw |
519.5/6 |
dewey-search |
519.5/6 |
doi_str_mv |
10.1515/9783110935998 |
oclc_num |
979735876 |
work_keys_str_mv |
AT beningvladimire asymptotictheoryoftestingstatisticalhypothesesefficientstatisticsoptimalitypowerlossanddeficiency |
status_str |
n |
ids_txt_mv |
(DE-B1597)57202 (OCoLC)979735876 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-DITION 2: BEST OF MATHEMATICS, PHYSICS |
is_hierarchy_title |
Asymptotic Theory of Testing Statistical Hypotheses : Efficient Statistics, Optimality, Power Loss and Deficiency / |
container_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
_version_ |
1806144863167578112 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03874nam a22008175i 4500</leader><controlfield tag="001">9783110935998</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228020105.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20112000gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110935998</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110935998</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)57202</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979735876</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA277</subfield><subfield code="b">.B46 2000eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT029000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">519.5/6</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 835</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/143260:</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bening, Vladimir E., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Asymptotic Theory of Testing Statistical Hypotheses :</subfield><subfield code="b">Efficient Statistics, Optimality, Power Loss and Deficiency /</subfield><subfield code="c">Vladimir E. Bening.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Reprint 2011</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2011]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (277 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Modern Probability and Statistics ,</subfield><subfield code="x">1385-7738</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">I-IV -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Foreword -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Notations -- </subfield><subfield code="t">1. Asymptotic test theory -- </subfield><subfield code="t">2. Asymptotic expansions under alternatives -- </subfield><subfield code="t">3. Power loss -- </subfield><subfield code="t">4. Edgeworth expansion for the likelihood ratio -- </subfield><subfield code="t">A. LeCam's Third Lemma -- </subfield><subfield code="t">B. Convergence rate under alternatives -- </subfield><subfield code="t">C. Proof of Theorem 1.3.1 -- </subfield><subfield code="t">D. The Neyman-Pearson Lemma -- </subfield><subfield code="t">Ε. Edgeworth expansions -- </subfield><subfield code="t">F. Proof of Lemmas 2.6.1–2.6.5 -- </subfield><subfield code="t">G. Proof of Lemmas 3.7.1–3.7.5 -- </subfield><subfield code="t">Η. Asymptotically complete classes -- </subfield><subfield code="t">I. Higher order asymptotics for R-, L-, and U-statistics -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Subject Index -- </subfield><subfield code="t">Author Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Asymptotic expansions.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Statistical hypothesis testing.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Asymptotisches Verhalten.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistischer Test.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Verteilung (Statistik).</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Probability & Statistics / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="z">9783110238570</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="z">9783110238471</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Mathematics - 2000 - 2014</subfield><subfield code="z">9783110637205</subfield><subfield code="o">ZDB-23-GMA</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">E-DITION 2: BEST OF MATHEMATICS, PHYSICS</subfield><subfield code="z">9783110306569</subfield><subfield code="o">ZDB-23-DBI</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9789067643238</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110935998</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110935998</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110935998/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023847-1 DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023857-0 DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DBI</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-GMA</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield></record></collection> |