Limit theorems under testing hypotheses:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Toruń
Uniwersytet Mikołaja Kopernika
1996
|
| Ausgabe: | Wyd. 1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | V, 148 S. |
| ISBN: | 8323107890 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV012390094 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 990204s1996 |||| 00||| eng d | ||
| 020 | |a 8323107890 |9 83-231-0789-0 | ||
| 035 | |a (OCoLC)245917989 | ||
| 035 | |a (DE-599)BVBBV012390094 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 | ||
| 084 | |a SK 830 |0 (DE-625)143259: |2 rvk | ||
| 084 | |a 17,1 |2 ssgn | ||
| 100 | 1 | |a Nagaev, Aleksander |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Limit theorems under testing hypotheses |c Aleksander Nagaev |
| 250 | |a Wyd. 1 | ||
| 264 | 1 | |a Toruń |b Uniwersytet Mikołaja Kopernika |c 1996 | |
| 300 | |a V, 148 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Grenzwertsatz |0 (DE-588)4158163-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistischer Test |0 (DE-588)4077852-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Grenzwertsatz |0 (DE-588)4158163-5 |D s |
| 689 | 0 | 1 | |a Statistischer Test |0 (DE-588)4077852-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008404017&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008404017 | ||
Datensatz im Suchindex
| _version_ | 1804127022311538688 |
|---|---|
| adam_text | UNIWERSYTET MIKOIAJA KOPEMIKA AIEKSANDER NAGAEV LIMIT THEOREMS UNDER
TESTING HYPOTHESES SUB GOTTINGEN 208 452176 98 A 7634 TORUN 1996
CONTENTS PREFACE III BASIC NOTATION AND NUMBERING SYSTEM 1 1 PRINCIPLES
OF TESTING 7 1.1 BASIC CONCEPTS 7 1.2 PRINCIPLES OF OPTIMALITY 8 1.3
INDEPENDENT OBSERVATIONS 12 1.4 COMPOSITE HYPOTHESES 15 1.5 EXERCISES 17
2 SIMPLE HYPOTHESES 19 2.1 REGULAR CASE 19 2.1.1 NEYMAN-PEARSON RISK
20 2.1.2 BAYES AND MINIMAX RISKS 22 2.2 SINGULAR CASE 25 2.2.1
NEYMAN-PEARSON RISK 26 2.2.2 BAYES AND MINIMAX RISKS 27 2.2.3 EXERCISES
31 3 QUANTILES OF THE BASIC STATISTICS 33 3.1 PRELIMINARIES . 33 3.2
THE CENTRAL LIMIT THEOREM 36 3.3 MORE PRECISE APPROXIMATIONS . 39 3.4
QUANTILES OF A QUADRATIC FORM 43 3.5 STRONG REGULARITY 46 3.6 BASIC
STATISTICS QUANTILES 49 3.7 NON-COMPACT PARAMETRIC SET . 51 3.8
EXERCISES 53 4 LARGE DEVIATIONS 55 4.1 PRELIMINARIES 55 4.2 REGULARITY
CONDITIONS 56 CONTENTS 4.3 LARGE DEVIATIONS OF D 59 4.4 LARGE DEVIATIONS
OF R 66 4.5 THE WEAKER FORMS OF THEOREMS 69 4.6 NON-COMPACT PARAMETRIC
SET 71 4.7 EXERCISES 73 INVARIANT TESTS IN THE REGULAR CASE 75 5.1
PRELIMINARIES 75 5.2 LOCATION INVARIANT TESTS 78 5.2.1 CRITICAL LEVEL 79
5.2.2 NEYMAN-PEARSON RISK 82 5.2.3 BAYES RISK 86 5.3 SCALE INVARIANT
TESTS 90 5.3.1 CRITICAL LEVEL 90 5.3.2 NEYMAN-PEARSON RISK 93 5.3.3
BAYES RISK 95 5.4 EXERCISES 99 INVARIANT TESTS IN A SINGULAR CASE 101
6.1 PRELIMINARIES 101 6.2 BASIC STATEMENTS 102 6.3 COMPUTATIONS AND
SIMULATIONS . 105 6.3.1 EXPONENTIAL-UNIFORM ALTERNATIVES 106 6.3.2 THE
PARETO-LEVY ALTERNATIVES 109 6.4 POWER UNDERLYING DISTRIBUTION 112 6.5
GAMMA SCALE FAMILY 114 6.6 PROOFS 118 6.6.1 THEOREM 118 6.6.2 THEOREM
6.2 118 6.6.3 PROOF OF THEOREM 6.3 120 6.6.4 PROOF OF THEOREM 6.4 121
6.7 EXERCISES 121 APPENDIX I 123 7.1 MONOTONE E-APPROXIMATION 123 7.2
CHEBYSHEV-CRAMER S INEQUALITIES 126 7.3 CRAMER S THEOREM 129 7.4 A LOCAL
LIMIT THEOREM 131 7.5 EXERCISES 132 APPENDIX II 133 8.1 PRELIMINARIES
133 8.2 LOCATION FAMILIES 134 CONTENTS 5 8.3 SCALE FAMILIES 136 8.4
LOCATION-SCALE FAMILIES 138 8.5 EXERCISES 141 BIBLIOGRAPHY 143 INDEX 145
|
| any_adam_object | 1 |
| author | Nagaev, Aleksander |
| author_facet | Nagaev, Aleksander |
| author_role | aut |
| author_sort | Nagaev, Aleksander |
| author_variant | a n an |
| building | Verbundindex |
| bvnumber | BV012390094 |
| classification_rvk | SK 830 |
| ctrlnum | (OCoLC)245917989 (DE-599)BVBBV012390094 |
| discipline | Mathematik |
| edition | Wyd. 1 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01321nam a2200361 c 4500</leader><controlfield tag="001">BV012390094</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">990204s1996 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">8323107890</subfield><subfield code="9">83-231-0789-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)245917989</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012390094</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 830</subfield><subfield code="0">(DE-625)143259:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Nagaev, Aleksander</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Limit theorems under testing hypotheses</subfield><subfield code="c">Aleksander Nagaev</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Wyd. 1</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Toruń</subfield><subfield code="b">Uniwersytet Mikołaja Kopernika</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">V, 148 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Grenzwertsatz</subfield><subfield code="0">(DE-588)4158163-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistischer Test</subfield><subfield code="0">(DE-588)4077852-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Grenzwertsatz</subfield><subfield code="0">(DE-588)4158163-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Statistischer Test</subfield><subfield code="0">(DE-588)4077852-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008404017&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008404017</subfield></datafield></record></collection> |
| id | DE-604.BV012390094 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:26:44Z |
| institution | BVB |
| isbn | 8323107890 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008404017 |
| oclc_num | 245917989 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | V, 148 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Uniwersytet Mikołaja Kopernika |
| record_format | marc |
| spelling | Nagaev, Aleksander Verfasser aut Limit theorems under testing hypotheses Aleksander Nagaev Wyd. 1 Toruń Uniwersytet Mikołaja Kopernika 1996 V, 148 S. txt rdacontent n rdamedia nc rdacarrier Grenzwertsatz (DE-588)4158163-5 gnd rswk-swf Statistischer Test (DE-588)4077852-6 gnd rswk-swf Grenzwertsatz (DE-588)4158163-5 s Statistischer Test (DE-588)4077852-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008404017&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nagaev, Aleksander Limit theorems under testing hypotheses Grenzwertsatz (DE-588)4158163-5 gnd Statistischer Test (DE-588)4077852-6 gnd |
| subject_GND | (DE-588)4158163-5 (DE-588)4077852-6 |
| title | Limit theorems under testing hypotheses |
| title_auth | Limit theorems under testing hypotheses |
| title_exact_search | Limit theorems under testing hypotheses |
| title_full | Limit theorems under testing hypotheses Aleksander Nagaev |
| title_fullStr | Limit theorems under testing hypotheses Aleksander Nagaev |
| title_full_unstemmed | Limit theorems under testing hypotheses Aleksander Nagaev |
| title_short | Limit theorems under testing hypotheses |
| title_sort | limit theorems under testing hypotheses |
| topic | Grenzwertsatz (DE-588)4158163-5 gnd Statistischer Test (DE-588)4077852-6 gnd |
| topic_facet | Grenzwertsatz Statistischer Test |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008404017&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT nagaevaleksander limittheoremsundertestinghypotheses |