Branching processes and neutral evolution:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1992
|
| Schriftenreihe: | Lecture notes in biomathematics
93 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 112 S. |
| ISBN: | 3540555293 0387555293 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV005425833 | ||
| 003 | DE-604 | ||
| 005 | 20191002 | ||
| 007 | t | ||
| 008 | 920601s1992 gw |||| 00||| eng d | ||
| 020 | |a 3540555293 |9 3-540-55529-3 | ||
| 020 | |a 0387555293 |9 0-387-55529-3 | ||
| 035 | |a (OCoLC)26097382 | ||
| 035 | |a (DE-599)BVBBV005425833 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-12 |a DE-91G |a DE-706 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA274.76 | |
| 082 | 0 | |a 519.2/34 |2 20 | |
| 084 | |a SI 840 |0 (DE-625)143197: |2 rvk | ||
| 084 | |a BIO 134f |2 stub | ||
| 084 | |a BIO 105f |2 stub | ||
| 084 | |a MAT 608f |2 stub | ||
| 100 | 1 | |a Taïb, Ziad |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Branching processes and neutral evolution |c Ziad Taïb |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1992 | |
| 300 | |a VIII, 112 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in biomathematics |v 93 | |
| 650 | 4 | |a Génétique - Modèles mathématiques | |
| 650 | 7 | |a Génétique - Modèles mathématiques |2 ram | |
| 650 | 7 | |a Matematica aplicada as ciencias biologicas |2 larpcal | |
| 650 | 7 | |a Probabilidade e estatistica |2 larpcal | |
| 650 | 7 | |a Processos markovianos |2 larpcal | |
| 650 | 4 | |a Processus ramifiés | |
| 650 | 7 | |a Processus ramifiés |2 ram | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Branching processes | |
| 650 | 4 | |a Evolution | |
| 650 | 4 | |a Genetics |x Mathematical models | |
| 650 | 4 | |a Genetics, Population | |
| 650 | 4 | |a Models, Biological | |
| 650 | 4 | |a Molecular Biology | |
| 650 | 4 | |a Nonlinear Dynamics | |
| 650 | 4 | |a Population Dynamics | |
| 650 | 0 | 7 | |a Verzweigungsprozess |0 (DE-588)4188184-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Neutraltheorie |0 (DE-588)4195445-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Populationsgenetik |0 (DE-588)4046804-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Populationsgenetik |0 (DE-588)4046804-5 |D s |
| 689 | 0 | 1 | |a Neutraltheorie |0 (DE-588)4195445-2 |D s |
| 689 | 0 | 2 | |a Verzweigungsprozess |0 (DE-588)4188184-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in biomathematics |v 93 |w (DE-604)BV005875746 |9 93 | |
| 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=003392834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003392834 | ||
Datensatz im Suchindex
| _version_ | 1804119633833230336 |
|---|---|
| adam_text | CONTENTS
PREFACE v
ACKNOWLEDGEMENTS vi
0. INTRODUCTION 1
0.1. The general branching process 1
0.2. The neutral theory 7
0.3. The results 8
1. THE CONSTRUCTION OF THE PROCESS 14
1.1. The basic probability space 14
1.2. Processes counted with random characteristics 16
1.3. Special cases 17
1.4. Decompositions 18
1.5. General assumptions 18
2. LABELLED BRANCHING PROCESSES 20
2.1. Labelled branching populations 20
2.2. The fate of the ancestral label 21
3. THE NUMBER OF DISTINCT LABELS 23
3.1. The total number of labels 23
3.2. The number of present labels 25
3.3. A Bellman—Harris application 27
3.4. The lattice case 27
4. THE LABEL PROCESS 32
4.1. The embedded label process 32
4.2. The oldest labels 36
4.3. The most frequent labels 40
5. THE LIMITING STABLE CASE 46
5.1. The stable pedigree space 46
5.2. The stable pedigree measure 48
5.3. Sampling among living individuals 51
6. THE PROCESS OF MUTANT ANCESTORS 52
6.1. The age of the label of an RSI 52
6.2. A renewal process 55
7. A MEASURE OF RELATEDNESS 60
7.1. The mean size of a label 60
7.2. The distribution of the size of a label 68
7.3. The probability of identity by descent 69
VIII
8. INFINITE SITES LABELS 71
8.1. The mean size 72
8.2. Another measure of relatedness 80
9. RELATED INDIVIDUALS 81
9.1. Genealogical distances 81
9.2. Distances between relatives 82
10. EMBEDDINGS IN BRANCHING PROCESSES 85
10.1. Trees and general branching processes 85
10.2. The branching property 87
10.3. Generalized individuals 89
11. EXTENSIONS 94
11.1. Other sampling schemes 94
11.2. Further developments 95
APPENDICES 100
A. Basic convergence theorems 100
B. The lattice case 104
A LIST OF SYMBOLS AND CONVENTIONS 106
REFERENCES 109
|
| any_adam_object | 1 |
| author | Taïb, Ziad |
| author_facet | Taïb, Ziad |
| author_role | aut |
| author_sort | Taïb, Ziad |
| author_variant | z t zt |
| building | Verbundindex |
| bvnumber | BV005425833 |
| callnumber-first | Q - Science |
| callnumber-label | QA274 |
| callnumber-raw | QA274.76 |
| callnumber-search | QA274.76 |
| callnumber-sort | QA 3274.76 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 840 |
| classification_tum | BIO 134f BIO 105f MAT 608f |
| ctrlnum | (OCoLC)26097382 (DE-599)BVBBV005425833 |
| dewey-full | 519.2/34 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/34 |
| dewey-search | 519.2/34 |
| dewey-sort | 3519.2 234 |
| dewey-tens | 510 - Mathematics |
| discipline | Biologie Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02426nam a2200661 cb4500</leader><controlfield tag="001">BV005425833</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20191002 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">920601s1992 gw |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540555293</subfield><subfield code="9">3-540-55529-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387555293</subfield><subfield code="9">0-387-55529-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)26097382</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV005425833</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA274.76</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.2/34</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 840</subfield><subfield code="0">(DE-625)143197:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">BIO 134f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">BIO 105f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 608f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Taïb, Ziad</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Branching processes and neutral evolution</subfield><subfield code="c">Ziad Taïb</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin u.a.</subfield><subfield code="b">Springer</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 112 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">Lecture notes in biomathematics</subfield><subfield code="v">93</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Génétique - Modèles mathématiques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Génétique - Modèles mathématiques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Matematica aplicada as ciencias biologicas</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Probabilidade e estatistica</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Processos markovianos</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Processus ramifiés</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Processus ramifiés</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematisches Modell</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Branching processes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Evolution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Genetics</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Genetics, Population</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Models, Biological</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Molecular Biology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nonlinear Dynamics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Population Dynamics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Verzweigungsprozess</subfield><subfield code="0">(DE-588)4188184-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Neutraltheorie</subfield><subfield code="0">(DE-588)4195445-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Populationsgenetik</subfield><subfield code="0">(DE-588)4046804-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Populationsgenetik</subfield><subfield code="0">(DE-588)4046804-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Neutraltheorie</subfield><subfield code="0">(DE-588)4195445-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Verzweigungsprozess</subfield><subfield code="0">(DE-588)4188184-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in biomathematics</subfield><subfield code="v">93</subfield><subfield code="w">(DE-604)BV005875746</subfield><subfield code="9">93</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=003392834&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:BVB01-003392834</subfield></datafield></record></collection> |
| id | DE-604.BV005425833 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:29:18Z |
| institution | BVB |
| isbn | 3540555293 0387555293 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003392834 |
| oclc_num | 26097382 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-706 DE-83 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-706 DE-83 DE-188 |
| physical | VIII, 112 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in biomathematics |
| series2 | Lecture notes in biomathematics |
| spelling | Taïb, Ziad Verfasser aut Branching processes and neutral evolution Ziad Taïb Berlin u.a. Springer 1992 VIII, 112 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in biomathematics 93 Génétique - Modèles mathématiques Génétique - Modèles mathématiques ram Matematica aplicada as ciencias biologicas larpcal Probabilidade e estatistica larpcal Processos markovianos larpcal Processus ramifiés Processus ramifiés ram Mathematisches Modell Branching processes Evolution Genetics Mathematical models Genetics, Population Models, Biological Molecular Biology Nonlinear Dynamics Population Dynamics Verzweigungsprozess (DE-588)4188184-9 gnd rswk-swf Neutraltheorie (DE-588)4195445-2 gnd rswk-swf Populationsgenetik (DE-588)4046804-5 gnd rswk-swf Populationsgenetik (DE-588)4046804-5 s Neutraltheorie (DE-588)4195445-2 s Verzweigungsprozess (DE-588)4188184-9 s DE-604 Lecture notes in biomathematics 93 (DE-604)BV005875746 93 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003392834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Taïb, Ziad Branching processes and neutral evolution Lecture notes in biomathematics Génétique - Modèles mathématiques Génétique - Modèles mathématiques ram Matematica aplicada as ciencias biologicas larpcal Probabilidade e estatistica larpcal Processos markovianos larpcal Processus ramifiés Processus ramifiés ram Mathematisches Modell Branching processes Evolution Genetics Mathematical models Genetics, Population Models, Biological Molecular Biology Nonlinear Dynamics Population Dynamics Verzweigungsprozess (DE-588)4188184-9 gnd Neutraltheorie (DE-588)4195445-2 gnd Populationsgenetik (DE-588)4046804-5 gnd |
| subject_GND | (DE-588)4188184-9 (DE-588)4195445-2 (DE-588)4046804-5 |
| title | Branching processes and neutral evolution |
| title_auth | Branching processes and neutral evolution |
| title_exact_search | Branching processes and neutral evolution |
| title_full | Branching processes and neutral evolution Ziad Taïb |
| title_fullStr | Branching processes and neutral evolution Ziad Taïb |
| title_full_unstemmed | Branching processes and neutral evolution Ziad Taïb |
| title_short | Branching processes and neutral evolution |
| title_sort | branching processes and neutral evolution |
| topic | Génétique - Modèles mathématiques Génétique - Modèles mathématiques ram Matematica aplicada as ciencias biologicas larpcal Probabilidade e estatistica larpcal Processos markovianos larpcal Processus ramifiés Processus ramifiés ram Mathematisches Modell Branching processes Evolution Genetics Mathematical models Genetics, Population Models, Biological Molecular Biology Nonlinear Dynamics Population Dynamics Verzweigungsprozess (DE-588)4188184-9 gnd Neutraltheorie (DE-588)4195445-2 gnd Populationsgenetik (DE-588)4046804-5 gnd |
| topic_facet | Génétique - Modèles mathématiques Matematica aplicada as ciencias biologicas Probabilidade e estatistica Processos markovianos Processus ramifiés Mathematisches Modell Branching processes Evolution Genetics Mathematical models Genetics, Population Models, Biological Molecular Biology Nonlinear Dynamics Population Dynamics Verzweigungsprozess Neutraltheorie Populationsgenetik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003392834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005875746 |
| work_keys_str_mv | AT taibziad branchingprocessesandneutralevolution |