The natural axiom system of probability theory :: mathematical model of the random universe /
The causation space established in this text is a mathematical model of the random universe and a "living house" of all random tests and probability spaces. By using this space, one can introduce the mathematical calculation methods related to probability spaces and random tests. The work...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English Chinese |
| Veröffentlicht: |
River Edge, N.J. :
World Scientific,
2003.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The causation space established in this text is a mathematical model of the random universe and a "living house" of all random tests and probability spaces. By using this space, one can introduce the mathematical calculation methods related to probability spaces and random tests. The work also points out that the basic unit to be studied in the probability theory is the random test, and not a stand-alone event |
| Beschreibung: | 1 online resource (xiv, 184 pages) |
| Bibliographie: | Includes bibliographical references (pages 177-178) and index. |
| ISBN: | 9789812795137 9812795138 1281935565 9781281935564 9786611935566 6611935568 |
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| 245 | 1 | 4 | |a The natural axiom system of probability theory : |b mathematical model of the random universe / |c Daguo Xiong ; translated from Chinese by Wu Jian. |
| 260 | |a River Edge, N.J. : |b World Scientific, |c 2003. | ||
| 300 | |a 1 online resource (xiv, 184 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 504 | |a Includes bibliographical references (pages 177-178) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preliminary -- 1. Real background of probability theory. 1.1. Research object. 1.2. Research task. 1.3. Probability -- 2. Natural axiom system of probability theory. 2.1. Element of probability theory and six groups of axioms. 2.2. The first group of axioms: the group of axioms of event space. 2.3. The second group of axioms: the group of axioms of causal space. 2.4. The third group of axioms: the group of axioms of random test. 2.5. Several kinds of typical random tests. 2.6. Joint random tests. 2.7. The forth group of axioms: the group of axioms of probability measure. 2.8. Point functions on random test. 2.9. The fifth group of axioms: the group of axioms of conditional probability measure. 2.10. Point functions on random test (continued). 2.11. The sixth group of axioms: the group of axioms of probability modelling -- 3. Introduction of random variables. 3.1. Intuitive background of random variables. 3.2. Basic conceptions of random variable. 3.3. Basic conceptions of random vector. 3.4. Basic conceptions of broad stochastic process. | |
| 520 | |a The causation space established in this text is a mathematical model of the random universe and a "living house" of all random tests and probability spaces. By using this space, one can introduce the mathematical calculation methods related to probability spaces and random tests. The work also points out that the basic unit to be studied in the probability theory is the random test, and not a stand-alone event | ||
| 546 | |a English. | ||
| 650 | 0 | |a Probabilities. |0 http://id.loc.gov/authorities/subjects/sh85107090 | |
| 650 | 0 | |a Axioms. |0 http://id.loc.gov/authorities/subjects/sh85010589 | |
| 650 | 0 | |a Random variables. |0 http://id.loc.gov/authorities/subjects/sh85111355 | |
| 650 | 6 | |a Probabilités. | |
| 650 | 6 | |a Axiomes. | |
| 650 | 6 | |a Variables aléatoires. | |
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| _version_ | 1813903327672401920 |
| adam_text | |
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| author | Xiong, Daguo |
| author_GND | http://id.loc.gov/authorities/names/no2003101241 |
| author_facet | Xiong, Daguo |
| author_role | |
| author_sort | Xiong, Daguo |
| author_variant | d x dx |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA273 |
| callnumber-raw | QA273.4 .X56 2003eb |
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| contents | Preliminary -- 1. Real background of probability theory. 1.1. Research object. 1.2. Research task. 1.3. Probability -- 2. Natural axiom system of probability theory. 2.1. Element of probability theory and six groups of axioms. 2.2. The first group of axioms: the group of axioms of event space. 2.3. The second group of axioms: the group of axioms of causal space. 2.4. The third group of axioms: the group of axioms of random test. 2.5. Several kinds of typical random tests. 2.6. Joint random tests. 2.7. The forth group of axioms: the group of axioms of probability measure. 2.8. Point functions on random test. 2.9. The fifth group of axioms: the group of axioms of conditional probability measure. 2.10. Point functions on random test (continued). 2.11. The sixth group of axioms: the group of axioms of probability modelling -- 3. Introduction of random variables. 3.1. Intuitive background of random variables. 3.2. Basic conceptions of random variable. 3.3. Basic conceptions of random vector. 3.4. Basic conceptions of broad stochastic process. |
| ctrlnum | (OCoLC)262847450 |
| 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 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn262847450 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-25T16:16:55Z |
| institution | BVB |
| isbn | 9789812795137 9812795138 1281935565 9781281935564 9786611935566 6611935568 |
| language | English Chinese |
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| publisher | World Scientific, |
| record_format | marc |
| spelling | Xiong, Daguo. https://id.oclc.org/worldcat/entity/E39PCjrXDd68QwxvRjrtVVyMmq http://id.loc.gov/authorities/names/no2003101241 The natural axiom system of probability theory : mathematical model of the random universe / Daguo Xiong ; translated from Chinese by Wu Jian. River Edge, N.J. : World Scientific, 2003. 1 online resource (xiv, 184 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 177-178) and index. Print version record. Preliminary -- 1. Real background of probability theory. 1.1. Research object. 1.2. Research task. 1.3. Probability -- 2. Natural axiom system of probability theory. 2.1. Element of probability theory and six groups of axioms. 2.2. The first group of axioms: the group of axioms of event space. 2.3. The second group of axioms: the group of axioms of causal space. 2.4. The third group of axioms: the group of axioms of random test. 2.5. Several kinds of typical random tests. 2.6. Joint random tests. 2.7. The forth group of axioms: the group of axioms of probability measure. 2.8. Point functions on random test. 2.9. The fifth group of axioms: the group of axioms of conditional probability measure. 2.10. Point functions on random test (continued). 2.11. The sixth group of axioms: the group of axioms of probability modelling -- 3. Introduction of random variables. 3.1. Intuitive background of random variables. 3.2. Basic conceptions of random variable. 3.3. Basic conceptions of random vector. 3.4. Basic conceptions of broad stochastic process. The causation space established in this text is a mathematical model of the random universe and a "living house" of all random tests and probability spaces. By using this space, one can introduce the mathematical calculation methods related to probability spaces and random tests. The work also points out that the basic unit to be studied in the probability theory is the random test, and not a stand-alone event English. Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Axioms. http://id.loc.gov/authorities/subjects/sh85010589 Random variables. http://id.loc.gov/authorities/subjects/sh85111355 Probabilités. Axiomes. Variables aléatoires. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Axioms fast Probabilities fast Random variables fast has work: The natural axiom system of probability theory (Text) https://id.oclc.org/worldcat/entity/E39PCFxbgTCBGxRKKXQ7VxFD7b https://id.oclc.org/worldcat/ontology/hasWork Print version: Xiong, Daguo. Natural axiom system of probability theory. River Edge, N.J. : World Scientific, 2003 9812384081 9789812384089 (DLC) 2005297796 (OCoLC)60671951 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235617 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235617 Volltext |
| spellingShingle | Xiong, Daguo The natural axiom system of probability theory : mathematical model of the random universe / Preliminary -- 1. Real background of probability theory. 1.1. Research object. 1.2. Research task. 1.3. Probability -- 2. Natural axiom system of probability theory. 2.1. Element of probability theory and six groups of axioms. 2.2. The first group of axioms: the group of axioms of event space. 2.3. The second group of axioms: the group of axioms of causal space. 2.4. The third group of axioms: the group of axioms of random test. 2.5. Several kinds of typical random tests. 2.6. Joint random tests. 2.7. The forth group of axioms: the group of axioms of probability measure. 2.8. Point functions on random test. 2.9. The fifth group of axioms: the group of axioms of conditional probability measure. 2.10. Point functions on random test (continued). 2.11. The sixth group of axioms: the group of axioms of probability modelling -- 3. Introduction of random variables. 3.1. Intuitive background of random variables. 3.2. Basic conceptions of random variable. 3.3. Basic conceptions of random vector. 3.4. Basic conceptions of broad stochastic process. Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Axioms. http://id.loc.gov/authorities/subjects/sh85010589 Random variables. http://id.loc.gov/authorities/subjects/sh85111355 Probabilités. Axiomes. Variables aléatoires. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Axioms fast Probabilities fast Random variables fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85107090 http://id.loc.gov/authorities/subjects/sh85010589 http://id.loc.gov/authorities/subjects/sh85111355 |
| title | The natural axiom system of probability theory : mathematical model of the random universe / |
| title_auth | The natural axiom system of probability theory : mathematical model of the random universe / |
| title_exact_search | The natural axiom system of probability theory : mathematical model of the random universe / |
| title_full | The natural axiom system of probability theory : mathematical model of the random universe / Daguo Xiong ; translated from Chinese by Wu Jian. |
| title_fullStr | The natural axiom system of probability theory : mathematical model of the random universe / Daguo Xiong ; translated from Chinese by Wu Jian. |
| title_full_unstemmed | The natural axiom system of probability theory : mathematical model of the random universe / Daguo Xiong ; translated from Chinese by Wu Jian. |
| title_short | The natural axiom system of probability theory : |
| title_sort | natural axiom system of probability theory mathematical model of the random universe |
| title_sub | mathematical model of the random universe / |
| topic | Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Axioms. http://id.loc.gov/authorities/subjects/sh85010589 Random variables. http://id.loc.gov/authorities/subjects/sh85111355 Probabilités. Axiomes. Variables aléatoires. probability. aat MATHEMATICS Probability & Statistics General. bisacsh Axioms fast Probabilities fast Random variables fast |
| topic_facet | Probabilities. Axioms. Random variables. Probabilités. Axiomes. Variables aléatoires. probability. MATHEMATICS Probability & Statistics General. Axioms Probabilities Random variables |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235617 |
| work_keys_str_mv | AT xiongdaguo thenaturalaxiomsystemofprobabilitytheorymathematicalmodeloftherandomuniverse AT xiongdaguo naturalaxiomsystemofprobabilitytheorymathematicalmodeloftherandomuniverse |