Stochastic Epidemic Models and Their Statistical Analysis:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2000
|
| Schriftenreihe: | Lecture Notes in Statistics
151 |
| Schlagworte: | |
| Online-Zugang: | UBM01 Volltext |
| Beschreibung: | The present lecture notes describe stochastic epidemic models and methods for their statistical analysis. Our aim is to present ideas for such models, and methods for their analysis; along the way we make practical use of several probabilistic and statistical techniques. This will be done without focusing on any specific disease, and instead rigorously analyzing rather simple models. The reader of these lecture notes could thus have a two-fold purpose in mind: to learn about epidemic models and their statistical analysis, and/or to learn and apply techniques in probability and statistics. The lecture notes require an early graduate level knowledge of probability and They introduce several techniques which might be new to students, but our statistics. intention is to present these keeping the technical level at a minlmum. Techniques that are explained and applied in the lecture notes are, for example: coupling, diffusion approximation, random graphs, likelihood theory for counting processes, martingales, the EM-algorithm and MCMC methods. The aim is to introduce and apply these techniques, thus hopefully motivating their further theoretical treatment. A few sections, mainly in Chapter 5, assume some knowledge of weak convergence; we hope that readers not familiar with this theory can understand the these parts at a heuristic level. The text is divided into two distinct but related parts: modelling and estimation |
| Beschreibung: | 1 Online-Ressource (IX, 156p. 8 illus) |
| ISBN: | 9781461211587 9780387950501 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4612-1158-7 |
Internformat
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Datensatz im Suchindex
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| author | Andersson, Håkan Britton, Tom 1965- |
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| building | Verbundindex |
| bvnumber | BV042419769 |
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| ctrlnum | (OCoLC)1184440189 (DE-599)BVBBV042419769 |
| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.5 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1158-7 |
| format | Electronic eBook |
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| isbn | 9781461211587 9780387950501 |
| issn | 0930-0325 |
| language | English |
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| spelling | Andersson, Håkan Verfasser aut Stochastic Epidemic Models and Their Statistical Analysis by Håkan Andersson, Tom Britton New York, NY Springer New York 2000 1 Online-Ressource (IX, 156p. 8 illus) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 151 0930-0325 The present lecture notes describe stochastic epidemic models and methods for their statistical analysis. Our aim is to present ideas for such models, and methods for their analysis; along the way we make practical use of several probabilistic and statistical techniques. This will be done without focusing on any specific disease, and instead rigorously analyzing rather simple models. The reader of these lecture notes could thus have a two-fold purpose in mind: to learn about epidemic models and their statistical analysis, and/or to learn and apply techniques in probability and statistics. The lecture notes require an early graduate level knowledge of probability and They introduce several techniques which might be new to students, but our statistics. intention is to present these keeping the technical level at a minlmum. Techniques that are explained and applied in the lecture notes are, for example: coupling, diffusion approximation, random graphs, likelihood theory for counting processes, martingales, the EM-algorithm and MCMC methods. The aim is to introduce and apply these techniques, thus hopefully motivating their further theoretical treatment. A few sections, mainly in Chapter 5, assume some knowledge of weak convergence; we hope that readers not familiar with this theory can understand the these parts at a heuristic level. The text is divided into two distinct but related parts: modelling and estimation Statistics Statistics for Life Sciences, Medicine, Health Sciences Statistik Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Epidemiologie (DE-588)4015016-1 gnd rswk-swf Schätzung (DE-588)4193791-0 gnd rswk-swf Epidemiologie (DE-588)4015016-1 s Stochastisches Modell (DE-588)4057633-4 s Schätzung (DE-588)4193791-0 s 1\p DE-604 Britton, Tom 1965- Verfasser (DE-588)173410766 aut https://doi.org/10.1007/978-1-4612-1158-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Andersson, Håkan Britton, Tom 1965- Stochastic Epidemic Models and Their Statistical Analysis Statistics Statistics for Life Sciences, Medicine, Health Sciences Statistik Stochastisches Modell (DE-588)4057633-4 gnd Epidemiologie (DE-588)4015016-1 gnd Schätzung (DE-588)4193791-0 gnd |
| subject_GND | (DE-588)4057633-4 (DE-588)4015016-1 (DE-588)4193791-0 |
| title | Stochastic Epidemic Models and Their Statistical Analysis |
| title_auth | Stochastic Epidemic Models and Their Statistical Analysis |
| title_exact_search | Stochastic Epidemic Models and Their Statistical Analysis |
| title_full | Stochastic Epidemic Models and Their Statistical Analysis by Håkan Andersson, Tom Britton |
| title_fullStr | Stochastic Epidemic Models and Their Statistical Analysis by Håkan Andersson, Tom Britton |
| title_full_unstemmed | Stochastic Epidemic Models and Their Statistical Analysis by Håkan Andersson, Tom Britton |
| title_short | Stochastic Epidemic Models and Their Statistical Analysis |
| title_sort | stochastic epidemic models and their statistical analysis |
| topic | Statistics Statistics for Life Sciences, Medicine, Health Sciences Statistik Stochastisches Modell (DE-588)4057633-4 gnd Epidemiologie (DE-588)4015016-1 gnd Schätzung (DE-588)4193791-0 gnd |
| topic_facet | Statistics Statistics for Life Sciences, Medicine, Health Sciences Statistik Stochastisches Modell Epidemiologie Schätzung |
| url | https://doi.org/10.1007/978-1-4612-1158-7 |
| work_keys_str_mv | AT anderssonhakan stochasticepidemicmodelsandtheirstatisticalanalysis AT brittontom stochasticepidemicmodelsandtheirstatisticalanalysis |