Asymptotic Theory of Testing Statistical Hypotheses : : Efficient Statistics, Optimality, Power Loss and Deficiency / / Vladimir E. Bening.
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| Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2000 |
| Year of Publication: | 2011 |
| Edition: | Reprint 2011 |
| Language: | English |
| Series: | Modern Probability and Statistics ,
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| Physical Description: | 1 online resource (277 p.) |
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9783110935998 |
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(DE-B1597)57202 (OCoLC)979735876 |
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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 |
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