The Natural Axiom System of Probability Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Natural Axiom System of Probability Theory PDF full book. Access full book title The Natural Axiom System of Probability Theory by Daguo Xiong. Download full books in PDF and EPUB format.
Author: Daguo Xiong
Publisher: World Scientific
ISBN: 9812384081
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
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.
Author: Daguo Xiong
Publisher: World Scientific
ISBN: 9812384081
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
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.
Author: Da Guo Xiong
Publisher: World Scientific
ISBN: 9814485683
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
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.
Author: Daguo Xiong
Publisher: World Scientific
ISBN: 9789812795137
Category : Mathematics
Languages : en
Pages : 204
Get Book Here
Book Description
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."
Author: Donald Gillies
Publisher: Psychology Press
ISBN: 0415182751
Category : Mathematics
Languages : en
Pages : 239
Get Book Here
Book Description
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.
Author: Frederik S. Herzberg
Publisher: Springer
ISBN: 3642331491
Category : Mathematics
Languages : en
Pages : 125
Get Book Here
Book Description
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.
Author: Janet Susan Milton
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 376
Get Book Here
Book Description
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.
Author: A.N. Kolmogorov
Publisher: Courier Dover Publications
ISBN: 0486821595
Category : Mathematics
Languages : en
Pages : 97
Get Book Here
Book Description
This famous little book remains a foundational text for the understanding of probability theory, important both to students beginning a serious study of probability and to historians of modern mathematics. 1956 second edition.
Author: Ronald Meester
Publisher: Birkhäuser
ISBN: 3034877862
Category : Mathematics
Languages : en
Pages : 196
Get Book Here
Book Description
Compactly written, but nevertheless very readable, appealing to intuition, this introduction to probability theory is an excellent textbook for a one-semester course for undergraduates in any direction that uses probabilistic ideas. Technical machinery is only introduced when necessary. The route is rigorous but does not use measure theory. The text is illustrated with many original and surprising examples and problems taken from classical applications like gambling, geometry or graph theory, as well as from applications in biology, medicine, social sciences, sports, and coding theory. Only first-year calculus is required.
Author: Sally Lin
Publisher: Springer
ISBN: 3642233457
Category : Computers
Languages : en
Pages : 635
Get Book Here
Book Description
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.
Author: Alan Hájek
Publisher: Oxford Handbooks
ISBN: 9780199607617
Category : Philosophy
Languages : en
Pages : 0
Get Book Here
Book Description
Probability theory is a key tool of the physical, mathematical, and social sciences. It has also been playing an increasingly significant role in philosophy: in epistemology, philosophy of science, ethics, social philosophy, philosophy of religion, and elsewhere. A case can be made thatprobability is as vital a part of the philosopher's toolkit as logic. Moreover, there is a fruitful two-way street between probability theory and philosophy: the theory informs much of the work of philosophers, and philosophical inquiry, in turn, has shed considerable light on the theory. ThisHandbook encapsulates and furthers the influence of philosophy on probability, and of probability on philosophy. Nearly forty articles summarise the state of play and present new insights in various areas of research at the intersection of these two fields. The articles will be of special interestto practitioners of probability who seek a greater understanding of its mathematical and conceptual foundations, and to philosophers who want to get up to speed on the cutting edge of research in this area. There is plenty here to entice philosophical readers who don't work especially on probabilitybut who want to learn more about it and its applications. Indeed, this volume should appeal to the intellectually curious generally; after all, there is much here to be curious about. We do not expect all of this volume's audience to have a thorough training in probability theory. And whileprobability is relevant to the work of many philosophers, they often do not have much of a background in its formalism. With this in mind, we begin with 'Probability for Everyone--Even Philosophers', a primer on those parts of probability theory that we believe are most important for philosophers toknow. The rest of the volume is divided into seven main sections: History; Formalism; Alternatives to Standard Probability Theory; Interpretations and Interpretive Issues; Probabilistic Judgment and Its Applications; Applications of Probability: Science; and Applications of Probability:Philosophy.
