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关键词:
Measure, Integral and Probability
书目信息
ISBN:
9781852337810(13位)
中图分类号:
O1
杜威分类号:
中文译名:
测度、积分与概率
作者:
Capinski
编者:
语种:
English
出版信息
出版社:
Springer
出版地:
出版年:
2004
版本:
2nd ed.
版本类型:
原版
丛书题名:
Springer Undergraduate Mathematics Series
卷期:
文献信息
关键词:
Mathematics
前言:
摘要:
内容简介:
16The key concept is that of measure which is first developed on the real line and then presented abstractly to provide an introduction to the foundations of probability theory (the Kolmogorov axioms) which in turn opens a route to many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities. Throughout, the development of the Lebesgue Integral provides the essential ideas: the role of basic convergence theorems, a discussion of modes of convergence for measurable functions, relations to the Riemann integral and the fundamental theorem of calculus, leading to the definition of Lebesgue spaces, the Fubini and Radon-Nikodym Theorems and their roles in describing the properties of random variables and their distributions. Applications to probability include laws of large numbers and the central limit theorem. 04Aus dem Inhalt:PrefaceMotivation and PreliminariesMeasureMeasurable FunctionsIntegralSpaces of Integral Functions.Product MeasuresLimit TheoremsIndexLiterature
目次:
Motivation and Preliminaries.- Measure.- Measurable Functions.- Integral.- Spaces of Integrable Functions.- Product Measures.- The Radon-Nikodym Theorem.- Limit Theorems.- Solutions to Exercises.- Appendix.- References; Bibliography; Index.
附录:
全文链接:
读者对象:
undergrad.
实体信息
页码:
装帧:
soft
尺寸:
其它形态细节:
其它信息
原价:
EUR
39.9500
原版ISBN:
其它ISBN:
图书特色:
书评:
扩展信息
Isbn:
1852337818
issue:
2006JC01
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