Truth, possibility, and probability: new logical foundations of probability and statistical inference
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
North-Holland
1991
|
| Series: | North-Holland mathematics studies
166 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Anyone involved in the philosophy of science is naturally drawn into the study of the foundations of probability. Different interpretations of probability, based on competing philosophical ideas, lead to different statistical techniques, and frequently to mutually contradictory consequences. This unique book presents a new interpretation of probability, rooted in the traditional interpretation that was current in the 17th and 18th centuries. Mathematical models are constructed based on this interpretation, and statistical inference and decision theory are applied, including some examples in artificial intelligence, solving the main foundational problems. Nonstandard analysis is extensively developed for the construction of the models and in some of the proofs. Many nonstandard theorems are proved, some of them new, in particular, a representation theorem that asserts that any stochastic process can be approximated by a process defined over a space with equiprobable outcomes Includes bibliographical references (p. 469-473) and index |
| Physical Description: | 1 Online-Ressource (xvii, 484 p.) |
| ISBN: | 9780444888402 0444888403 |
Staff View
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Record in the Search Index
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| author | Chuaqui, R. |
| author_facet | Chuaqui, R. |
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| 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 | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:18:17Z |
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| language | English |
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| spelling | Chuaqui, R. Verfasser aut Truth, possibility, and probability new logical foundations of probability and statistical inference Rolando Chuaqui Amsterdam North-Holland 1991 1 Online-Ressource (xvii, 484 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 166 Anyone involved in the philosophy of science is naturally drawn into the study of the foundations of probability. Different interpretations of probability, based on competing philosophical ideas, lead to different statistical techniques, and frequently to mutually contradictory consequences. This unique book presents a new interpretation of probability, rooted in the traditional interpretation that was current in the 17th and 18th centuries. Mathematical models are constructed based on this interpretation, and statistical inference and decision theory are applied, including some examples in artificial intelligence, solving the main foundational problems. Nonstandard analysis is extensively developed for the construction of the models and in some of the proofs. Many nonstandard theorems are proved, some of them new, in particular, a representation theorem that asserts that any stochastic process can be approximated by a process defined over a space with equiprobable outcomes Includes bibliographical references (p. 469-473) and index Probabilités Statistique mathématique Statistiek gtt Waarschijnlijkheid (statistiek) gtt Logica gtt Probabilidade (estatistica) larpcal Mathematical statistics fast Probabilities fast Logik Statistik Probabilities Mathematical statistics Logik (DE-588)4036202-4 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Inferenzstatistik (DE-588)4247120-5 gnd rswk-swf Statistische Schlussweise (DE-588)4182963-3 gnd rswk-swf Entscheidungstheorie (DE-588)4138606-1 gnd rswk-swf Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Logik (DE-588)4036202-4 s 1\p DE-604 Inferenzstatistik (DE-588)4247120-5 s 2\p DE-604 Stochastisches Modell (DE-588)4057633-4 s 3\p DE-604 Statistische Schlussweise (DE-588)4182963-3 s 4\p DE-604 Entscheidungstheorie (DE-588)4138606-1 s 5\p DE-604 Wahrscheinlichkeit (DE-588)4137007-7 s 6\p DE-604 http://www.sciencedirect.com/science/book/9780444888402 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chuaqui, R. Truth, possibility, and probability new logical foundations of probability and statistical inference Probabilités Statistique mathématique Statistiek gtt Waarschijnlijkheid (statistiek) gtt Logica gtt Probabilidade (estatistica) larpcal Mathematical statistics fast Probabilities fast Logik Statistik Probabilities Mathematical statistics Logik (DE-588)4036202-4 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Inferenzstatistik (DE-588)4247120-5 gnd Statistische Schlussweise (DE-588)4182963-3 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Stochastisches Modell (DE-588)4057633-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
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| title | Truth, possibility, and probability new logical foundations of probability and statistical inference |
| title_auth | Truth, possibility, and probability new logical foundations of probability and statistical inference |
| title_exact_search | Truth, possibility, and probability new logical foundations of probability and statistical inference |
| title_full | Truth, possibility, and probability new logical foundations of probability and statistical inference Rolando Chuaqui |
| title_fullStr | Truth, possibility, and probability new logical foundations of probability and statistical inference Rolando Chuaqui |
| title_full_unstemmed | Truth, possibility, and probability new logical foundations of probability and statistical inference Rolando Chuaqui |
| title_short | Truth, possibility, and probability |
| title_sort | truth possibility and probability new logical foundations of probability and statistical inference |
| title_sub | new logical foundations of probability and statistical inference |
| topic | Probabilités Statistique mathématique Statistiek gtt Waarschijnlijkheid (statistiek) gtt Logica gtt Probabilidade (estatistica) larpcal Mathematical statistics fast Probabilities fast Logik Statistik Probabilities Mathematical statistics Logik (DE-588)4036202-4 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Inferenzstatistik (DE-588)4247120-5 gnd Statistische Schlussweise (DE-588)4182963-3 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Stochastisches Modell (DE-588)4057633-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Probabilités Statistique mathématique Statistiek Waarschijnlijkheid (statistiek) Logica Probabilidade (estatistica) Mathematical statistics Probabilities Logik Statistik Wahrscheinlichkeit Inferenzstatistik Statistische Schlussweise Entscheidungstheorie Stochastisches Modell Wahrscheinlichkeitstheorie |
| url | http://www.sciencedirect.com/science/book/9780444888402 |
| work_keys_str_mv | AT chuaquir truthpossibilityandprobabilitynewlogicalfoundationsofprobabilityandstatisticalinference |