An introduction to random sets:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2006
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | IX, 257 S. |
| ISBN: | 9781584885191 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Contents
Preface vii
About the Author
1
1.1
1.2
1.3
1.4
1.5
1.6
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
3
3.1
3.2
3.3
3.4
3.5
4
4.1
4.2
4.3
4.4
vi
5
5.1
5.2
5.3
5.4
5.5
6
6.1
6.2
6.3
6.4
7
7.1
7.2
7.3
7.4
8
8.1
8.2
8.3
8.4
8.5
Appendix: Basic Concepts and Results of Probability Theory
A.I Probability Spaces
A.2
A.3 Expectation of a Random Variable
Á.4
A.5 Convergence in Distribution
A.6 Radon-Nikodym Theorem
Á.7
A.7.1 Some motivations
Á.7.2
A.7.3 Large deviations techniques
References
Index
Mathematics
An Introduction to Random Sets
The study of random sets is a large and rapidly growing area with connections
to many areas of mathematics and applications in widely varying disciplines,
from economics and decision theory to biostatistics and image analysis. The
drawback to such diversity is that the research reports are scattered throughout
the literature, with the result that in science and engineering, and even in the
statistics community, the topic is not well known and much of the enormous
potential of random sets remains untapped.
An Introduction to Random Sets provides a friendly but solid initiation into the
theory of random sets. It builds the foundation for studying random set data,
which, viewed as imprecise or incomplete observations, are ubiquitous in today s
technological society. The author, widely known for his best-selling A First Course
in Fuzzy Logic text as well as his pioneering work in random sets, explores
motivations, such as coarse data analysis and uncertainty analysis in intelligent
systems, for studying random sets as stochastic models. Other topics include
random closed sets, related uncertainty measures, the Choquet integral, the
convergence of capacity functionals, and the statistical framework for set-valued
observations. An abundance of examples and exercises reinforces the concepts
discussed.
Designed as a textbook for a course at the advanced undergraduate or beginning
graduate level, this book will serve equally well for self-study and as a reference for
researchers in fields such as statistics, mathematics, engineering, and computer
science.
|
| adam_txt |
Contents
Preface vii
About the Author
1
1.1
1.2
1.3
1.4
1.5
1.6
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
3
3.1
3.2
3.3
3.4
3.5
4
4.1
4.2
4.3
4.4
vi
5
5.1
5.2
5.3
5.4
5.5
6
6.1
6.2
6.3
6.4
7
7.1
7.2
7.3
7.4
8
8.1
8.2
8.3
8.4
8.5
Appendix: Basic Concepts and Results of Probability Theory
A.I Probability Spaces
A.2
A.3 Expectation of a Random Variable
Á.4
A.5 Convergence in Distribution
A.6 Radon-Nikodym Theorem
Á.7
A.7.1 Some motivations
Á.7.2
A.7.3 Large deviations techniques
References
Index
Mathematics
An Introduction to Random Sets
The study of random sets is a large and rapidly growing area with connections
to many areas of mathematics and applications in widely varying disciplines,
from economics and decision theory to biostatistics and image analysis. The
drawback to such diversity is that the research reports are scattered throughout
the literature, with the result that in science and engineering, and even in the
statistics community, the topic is not well known and much of the enormous
potential of random sets remains untapped.
An Introduction to Random Sets provides a friendly but solid initiation into the
theory of random sets. It builds the foundation for studying random set data,
which, viewed as imprecise or incomplete observations, are ubiquitous in today's
technological society. The author, widely known for his best-selling A First Course
in Fuzzy Logic text as well as his pioneering work in random sets, explores
motivations, such as coarse data analysis and uncertainty analysis in intelligent
systems, for studying random sets as stochastic models. Other topics include
random closed sets, related uncertainty measures, the Choquet integral, the
convergence of capacity functionals, and the statistical framework for set-valued
observations. An abundance of examples and exercises reinforces the concepts
discussed.
Designed as a textbook for a course at the advanced undergraduate or beginning
graduate level, this book will serve equally well for self-study and as a reference for
researchers in fields such as statistics, mathematics, engineering, and computer
science. |
| any_adam_object | 1 |
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| illustrated | Not Illustrated |
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| indexdate | 2024-07-09T20:38:18Z |
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| isbn | 9781584885191 |
| language | English |
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| spelling | Nguyen, Hung T. 1944- Verfasser (DE-588)138402590 aut An introduction to random sets Hung T. Nguyen Boca Raton [u.a.] Chapman & Hall/CRC 2006 IX, 257 S. txt rdacontent n rdamedia nc rdacarrier Random sets Textbooks Probabilities Textbooks Zufällige Menge (DE-588)4333329-1 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Zufällige Menge (DE-588)4333329-1 s DE-604 Digitalisierung UBPassau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014761812&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014761812&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
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| title | An introduction to random sets |
| title_auth | An introduction to random sets |
| title_exact_search | An introduction to random sets |
| title_exact_search_txtP | An introduction to random sets |
| title_full | An introduction to random sets Hung T. Nguyen |
| title_fullStr | An introduction to random sets Hung T. Nguyen |
| title_full_unstemmed | An introduction to random sets Hung T. Nguyen |
| title_short | An introduction to random sets |
| title_sort | an introduction to random sets |
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| topic_facet | Random sets Textbooks Probabilities Textbooks Zufällige Menge Einführung |
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