Poisson approximation:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Press
1992
|
| Schriftenreihe: | Oxford studies in probability
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 277 S. |
| ISBN: | 0198522355 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV005540406 | ||
| 003 | DE-604 | ||
| 005 | 20220601 | ||
| 007 | t | ||
| 008 | 920924s1992 |||| 00||| engod | ||
| 020 | |a 0198522355 |9 0-19-852235-5 | ||
| 035 | |a (OCoLC)246768898 | ||
| 035 | |a (DE-599)BVBBV005540406 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-739 |a DE-384 |a DE-20 |a DE-945 |a DE-824 |a DE-19 |a DE-29T |a DE-703 |a DE-11 |a DE-188 | ||
| 084 | |a QH 170 |0 (DE-625)141536: |2 rvk | ||
| 084 | |a SK 800 |0 (DE-625)143256: |2 rvk | ||
| 084 | |a SK 820 |0 (DE-625)143258: |2 rvk | ||
| 084 | |a MAT 418f |2 stub | ||
| 100 | 1 | |a Barbour, Andrew D. |d 1947- |e Verfasser |0 (DE-588)139432329 |4 aut | |
| 245 | 1 | 0 | |a Poisson approximation |c A. D. Barbour ; Lars Holst ; Svante Janson |
| 264 | 1 | |a Oxford |b Clarendon Press |c 1992 | |
| 300 | |a X, 277 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Oxford studies in probability |v 2 | |
| 650 | 0 | 7 | |a Poisson-Verteilung |0 (DE-588)4253010-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Poisson-Prozess |0 (DE-588)4174971-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Approximationstheorie |0 (DE-588)4120913-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stochastischer Prozess |0 (DE-588)4057630-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Poisson-Verteilung |0 (DE-588)4253010-6 |D s |
| 689 | 0 | 1 | |a Approximationstheorie |0 (DE-588)4120913-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Stochastischer Prozess |0 (DE-588)4057630-9 |D s |
| 689 | 1 | 1 | |a Poisson-Prozess |0 (DE-588)4174971-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Holst, Lars |e Verfasser |4 aut | |
| 700 | 1 | |a Janson, Svante |d 1955- |e Verfasser |0 (DE-588)139272658 |4 aut | |
| 830 | 0 | |a Oxford studies in probability |v 2 |w (DE-604)BV005125282 |9 2 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003474461&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003474461 | ||
Datensatz im Suchindex
| _version_ | 1804119764034912256 |
|---|---|
| adam_text | Contents
1. Introduction 1
2. Upper bounds 21
2.1 Upper bounds and monotonicity 24
2.2 Existence of monotone couplings 27
Associated random variables 29
Negatively associated random variables 30
Gaussian random variables 32
2.3 Independent and dissociated summands 33
2.4 Miscellany 41
3. Lower bounds 49
3.1 General lower bounds 49
3.2 Lower bounds under monotonicity 58
3.3 Lower bounds for mixed Poisson approximation 68
3.4 Illustrative examples 69
4. Random permutations 76
4.1 A general result 77
4.2 Matching problems 80
4.3 The menage problem 83
4.4 Higher order arrays 85
5. Random graphs 89
5.1 Subgraphs in Kn p 89
5.2 Vertex degrees 97
5.3 Coloured graphs and birthday problems 104
5.4 Complete graphs with repulsions 109
6. Occupancy and urn models 112
6.1 Drawing without replacement 112
6.2 Multinomial allocations 114
Left hand domain 114
Right hand domain 122
Exact box counts 125
6.3 Urn models and general occupancy 129
6.4 A matrix occupancy problem 130
7. Spacings 134
7.1 Couplings 134
7.2 Ordinary spacings 136
7.3 m Spacings 138
7.4 Higher dimensions 144
7.5 An application to DNA breakage 148
x Poisson approximation
8. Exceedances and extremes 150
8.1 The Gaussian case 150
8.2 The scan statistic for Poisson processes 156
8.3 Extremes of associated random variables 160
8.4 Patterns and runs 162
8.5 Rare sets in Markov chains 165
9. Independent and dissociated terms 170
9.1 Independent summands 171
9.2 Binomial approximation 188
9.3 Dissociated summands 193
10. Poisson process approximation 202
10.1 The basic method 205
10.2 Improved rates 217
10.3 Multivariate Poisson approximation 235
10.4 Compound Poisson approximation 238
10.5 Further developments 244
Appendix 253
A.I Probability metrics 253
Total variation distance 253
Wasserstein distance 254
Hellinger distance 255
A.2 Poisson and binomial estimates 257
References 264
Index 273
|
| any_adam_object | 1 |
| author | Barbour, Andrew D. 1947- Holst, Lars Janson, Svante 1955- |
| author_GND | (DE-588)139432329 (DE-588)139272658 |
| author_facet | Barbour, Andrew D. 1947- Holst, Lars Janson, Svante 1955- |
| author_role | aut aut aut |
| author_sort | Barbour, Andrew D. 1947- |
| author_variant | a d b ad adb l h lh s j sj |
| building | Verbundindex |
| bvnumber | BV005540406 |
| classification_rvk | QH 170 SK 800 SK 820 |
| classification_tum | MAT 418f |
| ctrlnum | (OCoLC)246768898 (DE-599)BVBBV005540406 |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02025nam a2200481 cb4500</leader><controlfield tag="001">BV005540406</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220601 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">920924s1992 |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0198522355</subfield><subfield code="9">0-19-852235-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246768898</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV005540406</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-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-945</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 170</subfield><subfield code="0">(DE-625)141536:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 800</subfield><subfield code="0">(DE-625)143256:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 820</subfield><subfield code="0">(DE-625)143258:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 418f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Barbour, Andrew D.</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)139432329</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Poisson approximation</subfield><subfield code="c">A. D. Barbour ; Lars Holst ; Svante Janson</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford</subfield><subfield code="b">Clarendon Press</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 277 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="490" ind1="1" ind2=" "><subfield code="a">Oxford studies in probability</subfield><subfield code="v">2</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Poisson-Verteilung</subfield><subfield code="0">(DE-588)4253010-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Poisson-Prozess</subfield><subfield code="0">(DE-588)4174971-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastischer Prozess</subfield><subfield code="0">(DE-588)4057630-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Poisson-Verteilung</subfield><subfield code="0">(DE-588)4253010-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Stochastischer Prozess</subfield><subfield code="0">(DE-588)4057630-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Poisson-Prozess</subfield><subfield code="0">(DE-588)4174971-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Holst, Lars</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Janson, Svante</subfield><subfield code="d">1955-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)139272658</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Oxford studies in probability</subfield><subfield code="v">2</subfield><subfield code="w">(DE-604)BV005125282</subfield><subfield code="9">2</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=003474461&sequence=000002&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:BVB01-003474461</subfield></datafield></record></collection> |
| id | DE-604.BV005540406 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:31:22Z |
| institution | BVB |
| isbn | 0198522355 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003474461 |
| oclc_num | 246768898 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-739 DE-384 DE-20 DE-945 DE-824 DE-19 DE-BY-UBM DE-29T DE-703 DE-11 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-739 DE-384 DE-20 DE-945 DE-824 DE-19 DE-BY-UBM DE-29T DE-703 DE-11 DE-188 |
| physical | X, 277 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Clarendon Press |
| record_format | marc |
| series | Oxford studies in probability |
| series2 | Oxford studies in probability |
| spelling | Barbour, Andrew D. 1947- Verfasser (DE-588)139432329 aut Poisson approximation A. D. Barbour ; Lars Holst ; Svante Janson Oxford Clarendon Press 1992 X, 277 S. txt rdacontent n rdamedia nc rdacarrier Oxford studies in probability 2 Poisson-Verteilung (DE-588)4253010-6 gnd rswk-swf Poisson-Prozess (DE-588)4174971-6 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Poisson-Verteilung (DE-588)4253010-6 s Approximationstheorie (DE-588)4120913-8 s DE-604 Stochastischer Prozess (DE-588)4057630-9 s Poisson-Prozess (DE-588)4174971-6 s Holst, Lars Verfasser aut Janson, Svante 1955- Verfasser (DE-588)139272658 aut Oxford studies in probability 2 (DE-604)BV005125282 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003474461&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Barbour, Andrew D. 1947- Holst, Lars Janson, Svante 1955- Poisson approximation Oxford studies in probability Poisson-Verteilung (DE-588)4253010-6 gnd Poisson-Prozess (DE-588)4174971-6 gnd Approximationstheorie (DE-588)4120913-8 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| subject_GND | (DE-588)4253010-6 (DE-588)4174971-6 (DE-588)4120913-8 (DE-588)4057630-9 |
| title | Poisson approximation |
| title_auth | Poisson approximation |
| title_exact_search | Poisson approximation |
| title_full | Poisson approximation A. D. Barbour ; Lars Holst ; Svante Janson |
| title_fullStr | Poisson approximation A. D. Barbour ; Lars Holst ; Svante Janson |
| title_full_unstemmed | Poisson approximation A. D. Barbour ; Lars Holst ; Svante Janson |
| title_short | Poisson approximation |
| title_sort | poisson approximation |
| topic | Poisson-Verteilung (DE-588)4253010-6 gnd Poisson-Prozess (DE-588)4174971-6 gnd Approximationstheorie (DE-588)4120913-8 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Poisson-Verteilung Poisson-Prozess Approximationstheorie Stochastischer Prozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003474461&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005125282 |
| work_keys_str_mv | AT barbourandrewd poissonapproximation AT holstlars poissonapproximation AT jansonsvante poissonapproximation |