Probability
Stochastic Processes 豆瓣
作者: Sheldon M. Ross 出版社: John Wiley & Sons 1996 - 4
A nonmeasure theoretic introduction to stochastic processes. Considers its diverse range of applications and provides readers with probabilistic intuition and insight in thinking about problems. This revised edition contains additional material on compound Poisson random variables including an identity which can be used to efficiently compute moments; a new chapter on Poisson approximations; and coverage of the mean time spent in transient states as well as examples relating to the Gibb's sampler, the Metropolis algorithm and mean cover time in star graphs. Numerous exercises and problems have been added throughout the text.
Probability Theory 豆瓣 Goodreads
Probability Theory: The Logic of Science
作者: E. T. Jaynes 出版社: Cambridge University Press 2003 - 6
The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.
概率论教程 豆瓣
A Course in Probability Theory, Revised Edition, Second Edition
作者: Kai Lai Chung 出版社: 机械工业出版社 2010 - 4
《概率论教程:英文版(第3版)》是一本享誉世界的经典概率论教材,令众多读者受益无穷。自出版以来。已被世界75%以上的大学的数万名学生使用。《概率论教程:英文版(第3版)》内容丰富,逻辑清晰,叙述严谨。不仅可以拓展读者的视野。而且还将为其后续的学习和研究打下坚实基础。此外,《概率论教程:英文版(第3版)》的习题较多,都经过细心的遴选,从易到难,便于读者巩固练习。本版补充了有关测度和积分方面的内容,并增加了一些习题。
概率与测度 豆瓣
作者: 别林斯里 出版社: 世界图书出版公司 2007 - 5
《概率与测度(第3版)》是《概率与测度》第3版,新版保留了原先的风格,将测度论和概率论有机结合在一起,把相关内容混合排列。概率问题会引起学生学习测度论的兴趣,而测度论知识又反过来应用到概率论中。《概率与测度(第3版)》主要内容包括概率、测度、积分、随机变量及数学期望、分布的收敛的问题、导数与条件期望,随机过程等。
点击链接进入英文版:
Probability and Measure, 3E
概率论沉思录 豆瓣
作者: 杰恩斯 出版社: 人民邮电出版社 2009 - 4
《概率论沉思录(英文版)》将概率和统计推断融合在一起,用新的观点生动地描述了概率论在物理学、数学、经济学、化学和生物学等领域中的广泛应用,尤其是它阐述了贝叶斯理论的丰富应用,弥补了其他概率和统计教材的不足。全书分为两大部分。第一部分包括10章内容,讲解抽样理论、假设检验、参数估计等概率论的原理及其初等应用;第二部分包括12章内容,讲解概率论的高级应用,如在物理测量、通信理论中的应用。《概率论沉思录(英文版)》还附有大量习题,内容全面,体例完整。
《概率论沉思录(英文版)》内容不局限于某一特定领域,适合涉及数据分析的各领域工作者阅读,也可作为高年级本科生和研究生相关课程的教材。