Probability and information: an integrated approach
This elementary introduction to probability theory and information theory is suitable as a textbook for beginning students in mathematics, statistics or computer science who have some knowledge of basic calculus. It provides a clear and systematic foundation to the subject; the concept of probabilit...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
1996
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Zusammenfassung: | This elementary introduction to probability theory and information theory is suitable as a textbook for beginning students in mathematics, statistics or computer science who have some knowledge of basic calculus. It provides a clear and systematic foundation to the subject; the concept of probability is given particular attention via a highly simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics dealt with include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information. Many examples and exercises are included that illustrate how the theory can be applied, for example to information technology. Detailed solutions to most exercises are available electronically. |
| Beschreibung: | XIII, 212 S. Illustrationen |
| ISBN: | 0521555078 0521555280 |
Internformat
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| 300 | |a XIII, 212 S. |b Illustrationen | ||
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| 520 | 3 | |a This elementary introduction to probability theory and information theory is suitable as a textbook for beginning students in mathematics, statistics or computer science who have some knowledge of basic calculus. It provides a clear and systematic foundation to the subject; the concept of probability is given particular attention via a highly simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics dealt with include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information. Many examples and exercises are included that illustrate how the theory can be applied, for example to information technology. Detailed solutions to most exercises are available electronically. | |
| 650 | 7 | |a Entropie (théorie de l'information) |2 ram | |
| 650 | 7 | |a Informatietheorie |2 gtt | |
| 650 | 7 | |a Information, Théorie de l' |2 ram | |
| 650 | 7 | |a Probabilités |2 ram | |
| 650 | 7 | |a Waarschijnlijkheidstheorie |2 gtt | |
| 650 | 7 | |a algèbre Boole |2 inriac | |
| 650 | 7 | |a codage information |2 inriac | |
| 650 | 7 | |a combinatoire |2 inriac | |
| 650 | 7 | |a entropie |2 inriac | |
| 650 | 7 | |a théorie information |2 inriac | |
| 650 | 7 | |a théorie probabilité |2 inriac | |
| 650 | 7 | |a théorème limite central |2 inriac | |
| 650 | 7 | |a transmission information |2 inriac | |
| 650 | 7 | |a variable aléatoire discrète |2 inriac | |
| 650 | 7 | |a vecteur aléatoire |2 inriac | |
| 650 | 4 | |a Information theory | |
| 650 | 4 | |a Probabilities | |
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| 650 | 0 | 7 | |a Informationstheorie |0 (DE-588)4026927-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wahrscheinlichkeitsrechnung |0 (DE-588)4064324-4 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804125534133682176 |
|---|---|
| any_adam_object | |
| author | Applebaum, David 1956- |
| author_GND | (DE-588)136277659 |
| author_facet | Applebaum, David 1956- |
| author_role | aut |
| author_sort | Applebaum, David 1956- |
| author_variant | d a da |
| building | Verbundindex |
| bvnumber | BV011044649 |
| callnumber-first | Q - Science |
| callnumber-label | QA273 |
| callnumber-raw | QA273 |
| callnumber-search | QA273 |
| callnumber-sort | QA 3273 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 800 |
| classification_tum | MAT 600f DAT 570f |
| ctrlnum | (OCoLC)33665373 (DE-599)BVBBV011044649 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV011044649 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:03:05Z |
| institution | BVB |
| isbn | 0521555078 0521555280 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007395821 |
| oclc_num | 33665373 |
| open_access_boolean | |
| owner | DE-739 DE-703 DE-824 DE-91G DE-BY-TUM DE-83 DE-11 DE-188 DE-634 |
| owner_facet | DE-739 DE-703 DE-824 DE-91G DE-BY-TUM DE-83 DE-11 DE-188 DE-634 |
| physical | XIII, 212 S. Illustrationen |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Applebaum, David 1956- Verfasser (DE-588)136277659 aut Probability and information an integrated approach David Applebaum 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1996 XIII, 212 S. Illustrationen txt rdacontent n rdamedia nc rdacarrier This elementary introduction to probability theory and information theory is suitable as a textbook for beginning students in mathematics, statistics or computer science who have some knowledge of basic calculus. It provides a clear and systematic foundation to the subject; the concept of probability is given particular attention via a highly simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics dealt with include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information. Many examples and exercises are included that illustrate how the theory can be applied, for example to information technology. Detailed solutions to most exercises are available electronically. Entropie (théorie de l'information) ram Informatietheorie gtt Information, Théorie de l' ram Probabilités ram Waarschijnlijkheidstheorie gtt algèbre Boole inriac codage information inriac combinatoire inriac entropie inriac théorie information inriac théorie probabilité inriac théorème limite central inriac transmission information inriac variable aléatoire discrète inriac vecteur aléatoire inriac Information theory Probabilities Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s DE-604 Informationstheorie (DE-588)4026927-9 s Wahrscheinlichkeitstheorie (DE-588)4079013-7 s DE-188 |
| spellingShingle | Applebaum, David 1956- Probability and information an integrated approach Entropie (théorie de l'information) ram Informatietheorie gtt Information, Théorie de l' ram Probabilités ram Waarschijnlijkheidstheorie gtt algèbre Boole inriac codage information inriac combinatoire inriac entropie inriac théorie information inriac théorie probabilité inriac théorème limite central inriac transmission information inriac variable aléatoire discrète inriac vecteur aléatoire inriac Information theory Probabilities Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Informationstheorie (DE-588)4026927-9 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4079013-7 (DE-588)4026927-9 (DE-588)4064324-4 |
| title | Probability and information an integrated approach |
| title_auth | Probability and information an integrated approach |
| title_exact_search | Probability and information an integrated approach |
| title_full | Probability and information an integrated approach David Applebaum |
| title_fullStr | Probability and information an integrated approach David Applebaum |
| title_full_unstemmed | Probability and information an integrated approach David Applebaum |
| title_short | Probability and information |
| title_sort | probability and information an integrated approach |
| title_sub | an integrated approach |
| topic | Entropie (théorie de l'information) ram Informatietheorie gtt Information, Théorie de l' ram Probabilités ram Waarschijnlijkheidstheorie gtt algèbre Boole inriac codage information inriac combinatoire inriac entropie inriac théorie information inriac théorie probabilité inriac théorème limite central inriac transmission information inriac variable aléatoire discrète inriac vecteur aléatoire inriac Information theory Probabilities Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Informationstheorie (DE-588)4026927-9 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Entropie (théorie de l'information) Informatietheorie Information, Théorie de l' Probabilités Waarschijnlijkheidstheorie algèbre Boole codage information combinatoire entropie théorie information théorie probabilité théorème limite central transmission information variable aléatoire discrète vecteur aléatoire Information theory Probabilities Wahrscheinlichkeitstheorie Informationstheorie Wahrscheinlichkeitsrechnung |
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