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200 14$aThe natural axiom system of probability theory$b[electronic resource] $emathematical model of the random universe /$fDaguo Xiong ; translated from Chinese by Wu Jian
210   $aRiver Edge, N.J. $cWorld Scientific$d2003
215   $a1 online resource (xiv, 184 p.) 
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a981-238-408-1 
320   $aIncludes bibliographical references (p. 177-178) and index.
327   $aPreliminary -- 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.
330   $aThe 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.
606   $aProbabilities
606   $aAxioms
606   $aRandom variables
608   $aElectronic books.
615  0$aProbabilities.
615  0$aAxioms.
615  0$aRandom variables.
676   $a519.2
700   $aXiong$b Daguo$0283960
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
912   $a9910454305803321
996   $aThe natural axiom system of probability theory$91983196
997   $aUNINA