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The Natural Axiom System of Probability Theory

The Natural Axiom System of Probability Theory
Author: Daguo Xiong
Publisher: World Scientific
Total Pages: 200
Release: 2003
Genre: Mathematics
ISBN: 9812384081

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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.


Natural Axiom System Of Probability Theory, The: Mathematical Model Of The Random Universe

Natural Axiom System Of Probability Theory, The: Mathematical Model Of The Random Universe
Author: Da Guo Xiong
Publisher: World Scientific
Total Pages: 200
Release: 2003-05-22
Genre: Mathematics
ISBN: 9814485683

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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.


The Natural Axiom System of Probability Theory

The Natural Axiom System of Probability Theory
Author: Daguo Xiong
Publisher: World Scientific
Total Pages: 204
Release: 2003
Genre: Mathematics
ISBN: 9789812795137

Download The Natural Axiom System of Probability Theory Book in PDF, ePub and Kindle

The causation space established in this book is a mathematical model of the random universe and a OC living houseOCO 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. Contents: Real Background of Probability Theory; Natural Axiom System of Probability Theory; Introduction of Random Variables. Readership: Researchers and graduate students in probability and statistics."


Philosophical Theories of Probability

Philosophical Theories of Probability
Author: Donald Gillies
Publisher: Psychology Press
Total Pages: 239
Release: 2000
Genre: Mathematics
ISBN: 0415182751

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The use of probability and statistics has increased dramatically in all fields of research. This book presents an account of the resultant philosophical theories of probability and explains how they relate to one another.


Stochastic Calculus with Infinitesimals

Stochastic Calculus with Infinitesimals
Author: Frederik S. Herzberg
Publisher: Springer
Total Pages: 125
Release: 2012-11-06
Genre: Mathematics
ISBN: 3642331491

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Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics curricula as well. However, existing approaches to stochastic analysis either presuppose various concepts from measure theory and functional analysis or lack full mathematical rigour. This short book proposes to solve the dilemma: By adopting E. Nelson's "radically elementary" theory of continuous-time stochastic processes, it is based on a demonstrably consistent use of infinitesimals and thus permits a radically simplified, yet perfectly rigorous approach to stochastic calculus and its fascinating applications, some of which (notably the Black-Scholes theory of option pricing and the Feynman path integral) are also discussed in the book.


Probability Theory with the Essential Analysis

Probability Theory with the Essential Analysis
Author: Janet Susan Milton
Publisher: Addison Wesley Publishing Company
Total Pages: 376
Release: 1976
Genre: Mathematics
ISBN:

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Set theory and some topological aspects of euclidean topology on the real line; Elementary measure theory, lebesgue and riemann-stieltjes integral; Probability as an axiomatic system; One dimensional Random variables; Modes of convergence; n-Dimensional Random variables and independence; Some limit theorems.


Probability Space

Probability Space
Author: Nancy Kress
Publisher: Macmillan
Total Pages: 372
Release: 2004-01-05
Genre: Fiction
ISBN: 9780765345141

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Nancy Kress cemented her reputation in SF with the publication of her multiple-award–winning novella, “Beggars in Spain,” which became the basis for her extremely successful Beggars Trilogy (comprising Beggars in Spain, Beggars and Choosers, and Beggars Ride). And now she brings us Probability Space, the conclusion of the trilogy that began with Probability Moon and then Probability Sun, which is centered on the same world as Kress’s Nebula Award-winning novelette, “Flowers of Aulit Prison.” The Probability Trilogy has already been widely recognized as the next great work by this important SF writer. In Probability Space, humanity’s war with the alien Fallers continues, and it is a war we are losing. Our implacable foes ignore all attempts at communication, and they take no prisoners. Our only hope lies with an unlikely coalition: Major Lyle Kaufman, retired warrior; Marbet Grant, the Sensitive who’s involved with Kaufman; Amanda, a very confused fourteen-year-old girl; and Magdalena, one of the biggest power brokers in all of human space. As the action moves from Earth to Mars to the farthest reaches of known space, with civil unrest back home and alien war in deep space, four humans--armed with little more than an unproven theory--try to enter the Fallers’ home star system. It’s a desperate gamble, and the fate of the entire universe may hang in the balance.


Probability

Probability
Author: Rick Durrett
Publisher: Cambridge University Press
Total Pages:
Release: 2010-08-30
Genre: Mathematics
ISBN: 113949113X

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This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.


Advances in Computer Science, Environment, Ecoinformatics, and Education, Part III

Advances in Computer Science, Environment, Ecoinformatics, and Education, Part III
Author: Sally Lin
Publisher: Springer
Total Pages: 635
Release: 2011-08-20
Genre: Computers
ISBN: 3642233457

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This 5-volume set (CCIS 214-CCIS 218) constitutes the refereed proceedings of the International Conference on Computer Science, Environment, Ecoinformatics, and Education, CSEE 2011, held in Wuhan, China, in July 2011. The 525 revised full papers presented in the five volumes were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on information security, intelligent information, neural networks, digital library, algorithms, automation, artificial intelligence, bioinformatics, computer networks, computational system, computer vision, computer modelling and simulation, control, databases, data mining, e-learning, e-commerce, e-business, image processing, information systems, knowledge management and knowledge discovering, mulitimedia and its apllication, management and information system, moblie computing, natural computing and computational intelligence, open and innovative education, pattern recognition, parallel and computing, robotics, wireless network, web application, other topics connecting with computer, environment and ecoinformatics, modeling and simulation, environment restoration, environment and energy, information and its influence on environment, computer and ecoinformatics, biotechnology and biofuel, as well as biosensors and bioreactor.


Interpretations of Probability

Interpretations of Probability
Author: Andrei Khrennikov
Publisher: Walter de Gruyter
Total Pages: 241
Release: 2009-02-26
Genre: Mathematics
ISBN: 3110213192

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This is the first fundamental book devoted to non-Kolmogorov probability models. It provides a mathematical theory of negative probabilities, with numerous applications to quantum physics, information theory, complexity, biology and psychology. The book also presents an interesting model of cognitive information reality with flows of information probabilities, describing the process of thinking, social, and psychological phenomena.