The natural axiom system of probability theory: mathematical model of the random universe
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
River Edge, N.J.
World Scientific
2003
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| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (pages 177-178) and index 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 |
| Physical Description: | 1 Online-Ressource (xiv, 184 pages) |
| ISBN: | 1281935565 9781281935564 9789812795137 9812384081 9812795138 |
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| 245 | 1 | 0 | |a The natural axiom system of probability theory |b mathematical model of the random universe |c Daguo Xiong ; translated from Chinese by Wu Jian |
| 264 | 1 | |a River Edge, N.J. |b World Scientific |c 2003 | |
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| 500 | |a Includes bibliographical references (pages 177-178) and index | ||
| 500 | |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 | ||
| 500 | |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 | ||
| 650 | 7 | |a MATHEMATICS / Probability & Statistics / General |2 bisacsh | |
| 650 | 7 | |a Axioms |2 fast | |
| 650 | 7 | |a Probabilities |2 fast | |
| 650 | 7 | |a Random variables |2 fast | |
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Axioms | |
| 650 | 4 | |a Random variables | |
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| author | Xiong, Daguo |
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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 |
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| dewey-tens | 510 - Mathematics |
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| format | Electronic eBook |
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| id | DE-604.BV043131016 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:23Z |
| institution | BVB |
| isbn | 1281935565 9781281935564 9789812795137 9812384081 9812795138 |
| language | English |
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| spelling | Xiong, Daguo Verfasser aut 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-Ressource (xiv, 184 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 177-178) and index 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 MATHEMATICS / Probability & Statistics / General bisacsh Axioms fast Probabilities fast Random variables fast Probabilities Axioms Random variables http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235617 Aggregator Volltext |
| spellingShingle | Xiong, Daguo The natural axiom system of probability theory mathematical model of the random universe MATHEMATICS / Probability & Statistics / General bisacsh Axioms fast Probabilities fast Random variables fast Probabilities Axioms Random variables |
| 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 | the natural axiom system of probability theory mathematical model of the random universe |
| title_sub | mathematical model of the random universe |
| topic | MATHEMATICS / Probability & Statistics / General bisacsh Axioms fast Probabilities fast Random variables fast Probabilities Axioms Random variables |
| topic_facet | MATHEMATICS / Probability & Statistics / General Axioms Probabilities Random variables |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235617 |
| work_keys_str_mv | AT xiongdaguo thenaturalaxiomsystemofprobabilitytheorymathematicalmodeloftherandomuniverse |