The natural axiom system of probability theory [[electronic resource] ] : mathematical model of the random universe / / Daguo Xiong ; translated from Chinese by Wu Jian
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| Autore: |
Xiong Daguo
|
| Titolo: |
The natural axiom system of probability theory [[electronic resource] ] : mathematical model of the random universe / / Daguo Xiong ; translated from Chinese by Wu Jian
|
| Pubblicazione: | River Edge, N.J., : World Scientific, 2003 |
| Descrizione fisica: | 1 online resource (xiv, 184 p.) |
| Disciplina: | 519.2 |
| Soggetto topico: | Probabilities |
| Axioms | |
| Random variables | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references (p. 177-178) and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | The causation space established in this book 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 book also points out that the basic unit to be studied in the probability theory is the random test, and not a stand-alone event. |
| Titolo autorizzato: | The natural axiom system of probability theory |
| ISBN: | 1-281-93556-5 |
| 9786611935566 | |
| 981-279-513-8 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910782118303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |