Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1989
|
| Schriftenreihe: | Springer Series in Statistics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concerning the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theorems that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approximating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. Other recent developments in statistics like nonparametric curve estimation and the bootstrap method will be studied as far as order statistics are concerned. 1n connection with this, graphical methods will, to some extent, be explored |
| Beschreibung: | 1 Online-Ressource (XII, 355p. 30 illus) |
| ISBN: | 9781461396208 9781461396222 |
| ISSN: | 0172-7397 |
| DOI: | 10.1007/978-1-4613-9620-8 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042420815 | ||
| 003 | DE-604 | ||
| 005 | 20171018 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1989 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461396208 |c Online |9 978-1-4613-9620-8 | ||
| 020 | |a 9781461396222 |c Print |9 978-1-4613-9622-2 | ||
| 024 | 7 | |a 10.1007/978-1-4613-9620-8 |2 doi | |
| 035 | |a (OCoLC)863821084 | ||
| 035 | |a (DE-599)BVBBV042420815 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 519.5 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Reiss, R.-D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Approximate Distributions of Order Statistics |b With Applications to Nonparametric Statistics |c by R.-D. Reiss |
| 264 | 1 | |a New York, NY |b Springer New York |c 1989 | |
| 300 | |a 1 Online-Ressource (XII, 355p. 30 illus) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Springer Series in Statistics |x 0172-7397 | |
| 500 | |a This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concerning the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theorems that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approximating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. Other recent developments in statistics like nonparametric curve estimation and the bootstrap method will be studied as far as order statistics are concerned. 1n connection with this, graphical methods will, to some extent, be explored | ||
| 650 | 4 | |a Statistics | |
| 650 | 4 | |a Statistics, general | |
| 650 | 4 | |a Statistik | |
| 650 | 0 | 7 | |a Nichtparametrische Statistik |0 (DE-588)4226777-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistik |0 (DE-588)4056995-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Asymptotik |0 (DE-588)4126634-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ordnungsstatistik |0 (DE-588)4212486-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wahrscheinlichkeitsverteilung |0 (DE-588)4121894-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Asymptotische Statistik |0 (DE-588)4203167-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Ordnungsstatistik |0 (DE-588)4212486-4 |D s |
| 689 | 0 | 1 | |a Asymptotik |0 (DE-588)4126634-1 |D s |
| 689 | 0 | 2 | |a Wahrscheinlichkeitsverteilung |0 (DE-588)4121894-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Ordnungsstatistik |0 (DE-588)4212486-4 |D s |
| 689 | 1 | 1 | |a Nichtparametrische Statistik |0 (DE-588)4226777-8 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 689 | 2 | 0 | |a Statistik |0 (DE-588)4056995-0 |D s |
| 689 | 2 | |8 3\p |5 DE-604 | |
| 689 | 3 | 0 | |a Asymptotische Statistik |0 (DE-588)4203167-9 |D s |
| 689 | 3 | |8 4\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4613-9620-8 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027856232 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153093171970048 |
|---|---|
| any_adam_object | |
| author | Reiss, R.-D |
| author_facet | Reiss, R.-D |
| author_role | aut |
| author_sort | Reiss, R.-D |
| author_variant | r d r rdr |
| building | Verbundindex |
| bvnumber | BV042420815 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863821084 (DE-599)BVBBV042420815 |
| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-9620-8 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03756nmm a2200649zc 4500</leader><controlfield tag="001">BV042420815</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20171018 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1989 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461396208</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4613-9620-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461396222</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4613-9622-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4613-9620-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863821084</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042420815</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.5</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Reiss, R.-D.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Approximate Distributions of Order Statistics</subfield><subfield code="b">With Applications to Nonparametric Statistics</subfield><subfield code="c">by R.-D. Reiss</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 355p. 30 illus)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Springer Series in Statistics</subfield><subfield code="x">0172-7397</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concerning the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theorems that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approximating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. Other recent developments in statistics like nonparametric curve estimation and the bootstrap method will be studied as far as order statistics are concerned. 1n connection with this, graphical methods will, to some extent, be explored</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistics, general</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtparametrische Statistik</subfield><subfield code="0">(DE-588)4226777-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistik</subfield><subfield code="0">(DE-588)4056995-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Asymptotik</subfield><subfield code="0">(DE-588)4126634-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ordnungsstatistik</subfield><subfield code="0">(DE-588)4212486-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitsverteilung</subfield><subfield code="0">(DE-588)4121894-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Asymptotische Statistik</subfield><subfield code="0">(DE-588)4203167-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Ordnungsstatistik</subfield><subfield code="0">(DE-588)4212486-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Asymptotik</subfield><subfield code="0">(DE-588)4126634-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Wahrscheinlichkeitsverteilung</subfield><subfield code="0">(DE-588)4121894-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Ordnungsstatistik</subfield><subfield code="0">(DE-588)4212486-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Nichtparametrische Statistik</subfield><subfield code="0">(DE-588)4226777-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Statistik</subfield><subfield code="0">(DE-588)4056995-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Asymptotische Statistik</subfield><subfield code="0">(DE-588)4203167-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4613-9620-8</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027856232</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">4\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042420815 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461396208 9781461396222 |
| issn | 0172-7397 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856232 |
| oclc_num | 863821084 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 355p. 30 illus) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Springer Series in Statistics |
| spelling | Reiss, R.-D. Verfasser aut Approximate Distributions of Order Statistics With Applications to Nonparametric Statistics by R.-D. Reiss New York, NY Springer New York 1989 1 Online-Ressource (XII, 355p. 30 illus) txt rdacontent c rdamedia cr rdacarrier Springer Series in Statistics 0172-7397 This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concerning the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theorems that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approximating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. Other recent developments in statistics like nonparametric curve estimation and the bootstrap method will be studied as far as order statistics are concerned. 1n connection with this, graphical methods will, to some extent, be explored Statistics Statistics, general Statistik Nichtparametrische Statistik (DE-588)4226777-8 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Asymptotik (DE-588)4126634-1 gnd rswk-swf Ordnungsstatistik (DE-588)4212486-4 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd rswk-swf Asymptotische Statistik (DE-588)4203167-9 gnd rswk-swf Ordnungsstatistik (DE-588)4212486-4 s Asymptotik (DE-588)4126634-1 s Wahrscheinlichkeitsverteilung (DE-588)4121894-2 s 1\p DE-604 Nichtparametrische Statistik (DE-588)4226777-8 s 2\p DE-604 Statistik (DE-588)4056995-0 s 3\p DE-604 Asymptotische Statistik (DE-588)4203167-9 s 4\p DE-604 https://doi.org/10.1007/978-1-4613-9620-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Reiss, R.-D Approximate Distributions of Order Statistics With Applications to Nonparametric Statistics Statistics Statistics, general Statistik Nichtparametrische Statistik (DE-588)4226777-8 gnd Statistik (DE-588)4056995-0 gnd Asymptotik (DE-588)4126634-1 gnd Ordnungsstatistik (DE-588)4212486-4 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd Asymptotische Statistik (DE-588)4203167-9 gnd |
| subject_GND | (DE-588)4226777-8 (DE-588)4056995-0 (DE-588)4126634-1 (DE-588)4212486-4 (DE-588)4121894-2 (DE-588)4203167-9 |
| title | Approximate Distributions of Order Statistics With Applications to Nonparametric Statistics |
| title_auth | Approximate Distributions of Order Statistics With Applications to Nonparametric Statistics |
| title_exact_search | Approximate Distributions of Order Statistics With Applications to Nonparametric Statistics |
| title_full | Approximate Distributions of Order Statistics With Applications to Nonparametric Statistics by R.-D. Reiss |
| title_fullStr | Approximate Distributions of Order Statistics With Applications to Nonparametric Statistics by R.-D. Reiss |
| title_full_unstemmed | Approximate Distributions of Order Statistics With Applications to Nonparametric Statistics by R.-D. Reiss |
| title_short | Approximate Distributions of Order Statistics |
| title_sort | approximate distributions of order statistics with applications to nonparametric statistics |
| title_sub | With Applications to Nonparametric Statistics |
| topic | Statistics Statistics, general Statistik Nichtparametrische Statistik (DE-588)4226777-8 gnd Statistik (DE-588)4056995-0 gnd Asymptotik (DE-588)4126634-1 gnd Ordnungsstatistik (DE-588)4212486-4 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd Asymptotische Statistik (DE-588)4203167-9 gnd |
| topic_facet | Statistics Statistics, general Statistik Nichtparametrische Statistik Asymptotik Ordnungsstatistik Wahrscheinlichkeitsverteilung Asymptotische Statistik |
| url | https://doi.org/10.1007/978-1-4613-9620-8 |
| work_keys_str_mv | AT reissrd approximatedistributionsoforderstatisticswithapplicationstononparametricstatistics |