Workshop on branching processes and their applications: (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain
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|---|---|
| Other Authors: | |
| Format: | Conference Proceeding Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
[2010]
|
| Series: | Lecture notes in statistics
197 : Proceedings |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX, 296 S. Illustrationen, Diagramme 235 mm x 155 mm |
| ISBN: | 9783642111549 9783642111563 |
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MARC
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Record in the Search Index
| _version_ | 1804141171725828096 |
|---|---|
| adam_text | CONTENTS PART I POPULATION GROWTH MODELS IN RANDOM AND VARYING
ENVIRONMENTS 1 A REFINEMENT OF LIMIT THEOREMS FOR THE CRITICAL BRANCHING
PROCESSES IN RANDOM ENVIRONMENT 3 VLADIMIR VATUTIN 1.1 INTRODUCTION AND
MAIN RESULTS 3 1.2 BRANCHING IN CONDITIONED ENVIRONMENT 8 1.3 PROOF OF
THEOREMS 1.1 AND 1.2 17 REFERENCES 18 2 BRANCHING PROCESSES IN
STATIONARY RANDOM ENVIRONMENT: THE EXTINCTION PROBLEM REVISITED 21
GEROLD ALSMEYER 2.1 INTRODUCTION 21 2.2 CLASSICAL RESULTS REVISITED 24
2.3 MAIN RESULT AND A COUNTEREXAMPLE 25 2.4 SOME USEFUL FACTS FROM
PALM-DUALITY THEORY 28 2.5 PROOFS 29 REFERENCES 36 3 ENVIRONMENTAL
VERSUS DEMOGRAPHIC STOCHASTICITY IN POPULATION GROWTH 37 CARLOS A.
BRAUMANN 3.1 INTRODUCTION 37 3.2 DENSITY-INDEPENDENT MODELS AND THEIR
LOCAL BEHAVIOR 39 3.3 DENSITY-INDEPENDENT MODELS AND EXTINCTION 44 3.4
DENSITY-DEPENDENT MODELS FOR ENVIRONMENTAL STOCHASTICITY 45 3.5
CONCLUSIONS 49 REFERENCES 52 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/998455865 DIGITALISIERT DURCH XII CONTENTS 4 STATIONARY
DISTRIBUTIONS OF THE ALTERNATING BRANCHING PROCESSES 53 PENKA MAYSTER
4.1 INTRODUCTION 53 4.2 ALTERNATING BRANCHING PROCESS 55 4.3 ALTERNATING
BRANCHING PROCESS WITH EXPLICIT IMMIGRATION 56 4.4 REPRODUCTION BY N
CYCLES 58 4.5 CRITICALITY 59 4.6 STATIONARY DISTRIBUTION IN RANDOM
ENVIRONMENT 62 4.7 UNCONDITIONAL PROBABILITY GENERATING FUNCTIONS 63 4.8
FEED-BACK CONTROL 64 REFERENCES 66 PART II SPECIAL BRANCHING PROCESSES 5
APPROXIMATIONS IN POPULATION-DEPENDENT BRANCHING PROCESSES 71 FIMA C.
KLEBANER 5.1 INTRODUCTION AND A MOTIVATING EXAMPLE 71 5.2 A
REPRESENTATION OF THE PROCESS AND ITS RE-SCALED VERSION 73 5.2.1
RE-SCALED PROCESS: DYNAMICS PLUS SMALL NOISE 74 5.2.2 DYNAMICS WITHOUT
NOISE IN BINARY SPLITTING 74 5.3 TIME TO EXTINCTION 75 5.4 THE SIZE OF
THE POPULATION AFTER A LONG TIME PROVIDED IT HAS SURVIVED 75 5.5 CASE OF
SMALL INITIAL POPULATION 76 5.5.1 PROBABILITY OF BECOMING LARGE AND TIME
FOR IT TO HAPPEN .. 77 5.6 BEHAVIOUR BEFORE EXTINCTION 77 REFERENCES 78
6 EXTENSION OF THE PROBLEM OF EXTINCTION ON GALTON-WATSON FAMILY TREES
79 GEORGE P. YANEV 6.1 INTRODUCTION 79 6.2 CRITICAL PHENOMENON 80 6.3
DISTRIBUTION OF THE NUMBER OF COMPLETE AND DISJOINT SUBTREES, ROOTED AT
THE ANCESTOR 83 6. CONTENTS XUEI 7.3 RENEWAL PROCESSES 100 7.4 BGW
BRANCHING PROCESSES STARTING WITH RANDOM NUMBER OF PARTICLES 103 7.5
LIMIT THEOREMS FOR THE PROCESS Y(T) 105 7.6 CONCLUDING REMARKS 107
REFERENCES 108 8 RENEWAL MEASURE DENSITY FOR DISTRIBUTIONS WITH
REGULARLY VARYING TAILS OF ORDER A E (0,1/2] 109 VALENTIN TOPCHII 8.1
INTRODUCTION 109 8.2 EFFECTS OF ATTRACTION TO A STABLE LAW ILL 8.3
ASYMPTOTICS OF RENEWAL FUNCTION DENSITY 114 REFERENCES 118 PART III
LIMIT THEOREMS AND STATISTICS 9 APPROXIMATION OF A SUM OF MARTINGALE
DIFFERENCES GENERATED BY A BOOTSTRAP BRANCHING PROCESS 121 IBRAHIM
RAHIMOV 9.1 INTRODUCTION 121 9.2 MAIN THEOREMS 123 9.3 ARRAY OF
PROCESSES 127 REFERENCES 133 10 CRITICAL BRANCHING PROCESSES WITH
IMMIGRATION 135 MARTON ISPANY AND GYULA PAP 10.1 INTRODUCTION 135 10.2
BRANCHING AND AUTOREGRESSIVE PROCESSES 136 10.3 FUNCTIONAL LIMIT
THEOREMS 138 10.4 NEARLY CRITICAL BRANCHING PROCESSES WITH IMMIGRATION
140 10.5 CONDITIONAL LEAST SQUARES ESTIMATORS 142 REFERENCES 145 11
WEIGHTED CONDITIONAL LEAST SQUARES ESTIMATION IN CONTROLLED MULTITYPE
BRANCHING PROCESSES 147 MIGUEL GONZALEZ AND INES M. DEL PUERTO 11. XIV
CONTENTS PART IV APPLICATIONS IN CELL KINETICS AND GENETICS 12 BRANCHING
PROCESSES IN CELL PROLIFERATION KINETICS 159 NIKOLAY M. YANEV 12.1
INTRODUCTION 159 12.2 DISTRIBUTIONS OF DISCRETE MARKS OVER A
PROLIFERATING CELL POPULATIONS 161 12.3 DISTRIBUTIONS OF CONTINUOUS
LABELS IN BRANCHING POPULATIONS OF CELLS 162 12.4 AGE AND RESIDUAL
LIFETIME DISTRIBUTIONS FOR BRANCHING PROCESSES ... 164 12.5 BRANCHING
PROCESSES WITH IMMIGRATION AS MODELS OF LEUKEMIA CELL KINETICS 168 12.6
AGE-DEPENDENT BRANCHING POPULATIONS WITH RANDOMLY CHOSEN PATHS OF
EVOLUTION 171 12.7 MULTITYPE BRANCHING POPULATIONS WITH A LARGE NUMBER
OF ANCESTORS 173 12.8 CONCLUDING REMARKS 177 REFERENCES 177 13
GRIFFITHS-PAKES BRANCHING PROCESS AS A MODEL FOR EVOLUTION OF ALU
ELEMENTS 179 MAREK KIMMEL AND MATTHIAS MATHAES 13.1 INTRODUCTION 179
13.2 ALU REPEAT SEQUENCES 180 13.2.1 BACKGROUND ON ALUS 180 13.2.2 ALU
SEQUENCE DATA USED IN THIS STUDY 180 13.3 DISCRETE BRANCHING PROCESS OF
GRIFFITHS AND PAKES WITH INFINITE ALIELE MUTATIONS 181 13.3.1 LINEAR
FRACTIONAL OFFSPRING DISTRIBUTION 184 13.4 FITTING RESULTS 186 13.5
DISCUSSION 187 REFERENCES 189 14 PARAMETRIC INFERENCE FOR Y-LINKED GENE
BRANCHING MODELS: EXPECTATION-MAXIMIZATION METHOD 191 MIGUEL GONZALEZ,
CRISTINA GUTIERREZ AND RODRIGO MARTINEZ 14. CONTENTS XV PART V
APPLICATIONS IN EPIDEMIOLOGY 15 APPLICATIONS OF BRANCHING PROCESSES TO
THE FINAL SIZE OF SIR EPIDEMICS 207 FRANK BALL AND PETER NEAL 15.1
INTRODUCTION 208 15.2 EARLY STAGES OF EPIDEMIC 211 15.3 FINAL OUTCOME OF
REED-FROST EPIDEMIC 213 15.3.1 PRELIMINARIES 213 15.3.2 MANY INITIAL
INFECTIVES 216 15.3.3 FEW INITIAL INFECTIVES 219 15.3.4 CENTRAL LIMIT
THEOREM 221 REFERENCES 222 16 A BRANCHING PROCESS APPROACH FOR THE
PROPAGATION OF THE BOVINE SPONGIFORM ENCEPHALOPATHY IN GREAT-BRITAIN 225
CHRISTINE JACOB, LAURENCE MAILLARD-TEYSSIER, JEAN-BAPTISTE DENIS AND
CAROLINE BIDOT 16.1 INTRODUCTION 225 16.2 INITIAL BRANCHING MODEL 226
16.3 LIMIT PROCESS AS AFA ** 229 16.4 BEHAVIOR OF THE BGW LIMIT
PROCESS 233 16.4.1 EXTINCTION PROBABILITY 234 16.4.2 EXTINCTION TIME
DISTRIBUTION 235 16.4.3 SIZE OF THE EPIDEMIC 235 16.5 ESTIMATION 235
16.5.1 OBSERVATIONS 236 16.5.2 MODEL AND PARAMETERS 236 16.5.3 PRIOR
DISTRIBUTIONS 237 16.5.4 ALGORITHM AND SOFTWARE 237 16.5.5 MAIN RESULTS
238 16.6 CONCLUSION 239 REFERENCES 240 17 TIME TO EXTINCTION OF
INFECTIOUS DISEASES THROUGH AGE-DEPENDENT BRANCHING MODELS 241 MIGUEL
GONZALEZ, RODRIGO MARTINEZ AND MAROUSSIA SLAVTCHOVA-BOJKOVA 17.1
INTRODUCTION 241 17. XVI CONTENTS 17.6 PROOFS 251 REFERENCES 256 18 TIME
TO EXTINCTION IN A TWO-HOST INTERACTION MODEL FOR THE MACROPARASITE
ECHINOCOCCUS GRANULOSUS 257 DOMINIK HEINZMANN 18.1 INTRODUCTION 257 18.2
PREVALENCE-BASED INTERACTION MODEL 258 18.3 APPROXIMATING BRANCHING
PROCESSES 259 18.4 COUPLING 260 18.5 TIME TO EXTINCTION 262 18.6
NUMERICAL ILLUSTRATION 263 REFERENCES 265 PART VI TWO-SEX BRANCHING
MODELS 19 BISEXUAL BRANCHING PROCESSES WITH IMMIGRATION DEPENDING ON THE
NUMBER OF FEMALES AND MALES 269 SHIXIA MA AND YONGSHENG XING 19.1
INTRODUCTION 269 19.2 THE BISEXUAL PROCESS WITH IMMIGRATION 270 19.3 THE
ASYMPTOTIC GROWTH RATE 271 19.4 LIMIT BEHAVIOR FOR THE SUPERCRITICAL
CASE 273 REFERENCES 276 20 TWO-SEX BRANCHING PROCESS LITERATURE 279
MANUEL MOLINA 20.1 INTRODUCTION 279 20.2 THE DALEY S TWO-SEX BRANCHING
PROCESS 280 20.3 DISCRETE TIME TWO-SEX BRANCHING PROCESSES 284 20.3.1
PROCESSES WITH IMMIGRATION 284 20.3.2 PROCESSES IN VARYING OR IN RANDOM
ENVIRONMENTS 285 20.3.3 PROCESSES DEPENDING ON THE NUMBER OF COUPLES IN
THE POPULATION 285 20.3.4 PROCESSES WITH CONTROL ON THE NUMBER OF
PROGENITOR COUPLES 287 20.3.5 OTHERS CLASSES OF TWO-SEX PROCESSES 287
20.4 CONTINUOUS TIME TWO-SEX BRANCHING PROCESSES 287 20.
|
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| author_corporate | Workshop on Branching Processes and Their Applications Badajoz |
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| author_facet | González, Miguel Workshop on Branching Processes and Their Applications Badajoz |
| author_sort | Workshop on Branching Processes and Their Applications Badajoz |
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| bvnumber | BV036102084 |
| classification_rvk | SI 856 |
| ctrlnum | (OCoLC)568792415 (DE-599)DNB998455865 |
| dewey-full | 519.234 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-sort | 3519.234 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Conference Proceeding Book |
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| genre_facet | Konferenzschrift 2009 Badajoz |
| id | DE-604.BV036102084 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:11:38Z |
| institution | BVB |
| institution_GND | (DE-588)16060420-5 |
| isbn | 9783642111549 9783642111563 |
| language | English |
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| physical | XIX, 296 S. Illustrationen, Diagramme 235 mm x 155 mm |
| publishDate | 2010 |
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| publisher | Springer |
| record_format | marc |
| series | Lecture notes in statistics |
| series2 | Lecture notes in statistics |
| spelling | Workshop on Branching Processes and Their Applications 2009 Badajoz Verfasser (DE-588)16060420-5 aut Workshop on branching processes and their applications (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain Miguel González ... ed. Berlin [u.a.] Springer [2010] XIX, 296 S. Illustrationen, Diagramme 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in statistics 197 : Proceedings Verzweigungsprozess (DE-588)4188184-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2009 Badajoz gnd-content Verzweigungsprozess (DE-588)4188184-9 s DE-604 González, Miguel edt Erscheint auch als Online-Ausgabe 978-3-642-11156-3 Lecture notes in statistics 197 : Proceedings (DE-604)BV002447846 197 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018992432&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Workshop on branching processes and their applications (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain Lecture notes in statistics Verzweigungsprozess (DE-588)4188184-9 gnd |
| subject_GND | (DE-588)4188184-9 (DE-588)1071861417 |
| title | Workshop on branching processes and their applications (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain |
| title_auth | Workshop on branching processes and their applications (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain |
| title_exact_search | Workshop on branching processes and their applications (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain |
| title_full | Workshop on branching processes and their applications (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain Miguel González ... ed. |
| title_fullStr | Workshop on branching processes and their applications (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain Miguel González ... ed. |
| title_full_unstemmed | Workshop on branching processes and their applications (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain Miguel González ... ed. |
| title_short | Workshop on branching processes and their applications |
| title_sort | workshop on branching processes and their applications wbpa hled during 20 23 april 2009 in badjoz spain |
| title_sub | (WBPA)... hled during 20 - 23 April 2009 in Badjoz, Spain |
| topic | Verzweigungsprozess (DE-588)4188184-9 gnd |
| topic_facet | Verzweigungsprozess Konferenzschrift 2009 Badajoz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018992432&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002447846 |
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