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Titlebook: A Probability Path; Sidney I. Resnick Textbook 2014 Springer Science+Business Media New York 2014 central limit theorem.expectation.indepe

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发表于 2025-3-21 17:49:18 | 显示全部楼层 |阅读模式
期刊全称A Probability Path
影响因子2023Sidney I. Resnick
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发行地址Affordable, softcover reprint of a classic textbook.Mathematically rigorous treatment aimed at non-mathematicians.Includes a clear outline for a one-semester course.Includes supplementary material: .R
学科分类Modern Birkhäuser Classics
图书封面Titlebook: A Probability Path; Sidney I. Resnick Textbook 2014 Springer Science+Business Media New York 2014 central limit theorem.expectation.indepe
影响因子.Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead, .A Probability Path. is designed for those requiring a deep understanding of advanced probability for their research in statistics, applied probability, biology, operations research, mathematical finance and engineering. .A one-semester course is laid out in an efficient and readable manner covering the core material. The first three chapters provide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applications to statistics (quantile and distribution function estimation) and applied probability. Two subsequent chapters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treats conditional expectation and martingales, closing with a disc
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发表于 2025-3-21 21:30:56 | 显示全部楼层
Algebraic dependence of formal power series,This chapter discusses the basic properties of probability spaces, and in particular, probability measures. It also introduces the important ideas of set induction.
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发表于 2025-3-22 01:21:17 | 显示全部楼层
https://doi.org/10.1007/BFb0097119In this chapter, we will precisely define a random variable. A random variable is a real valued function with domain Ω which has an extra property called measurability that allows us to make probability statements about the random variables.
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发表于 2025-3-22 07:41:29 | 显示全部楼层
https://doi.org/10.1007/3-540-36363-7One of the more fundamental concepts of probability theory and mathematical statistics is the . of a random variable. The expectation represents a central value of the random variable and has a measure theory counterpart in the theory of integration.
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发表于 2025-3-22 10:34:06 | 显示全部楼层
Lectures on the Thue Principle,This chapter develops a transform method called . for dealing with sums of independent random variables. The basic problem is that the distribution of a sum of independent random variables is rather complex and hard to deal with.
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发表于 2025-3-22 15:01:34 | 显示全部楼层
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发表于 2025-3-22 18:50:33 | 显示全部楼层
https://doi.org/10.1007/978-0-8176-8409-9central limit theorem; expectation; independence; martingales; measure theory
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发表于 2025-3-23 00:29:56 | 显示全部楼层
978-0-8176-8408-2Springer Science+Business Media New York 2014
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发表于 2025-3-23 03:59:27 | 显示全部楼层
A Probability Path978-0-8176-8409-9Series ISSN 2197-1803 Series E-ISSN 2197-1811
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发表于 2025-3-23 08:45:47 | 显示全部楼层
Sums of Two Squares in Short Intervals, The sequence could consist of sample averages, cumulative sums, extremes, sample quantiles, sample correlations, and so on. Whereas probability theory discusses limit theorems, the theory of statistics is concerned with . properties of statistics, where a statistic is just a function of the sample.
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