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A Probability Path (Modern Birkhäuser Classics) by Resnick, Sidney I. I.
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Bevindt zich in: Columbia, Missouri, Verenigde Staten
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Specificaties
- Objectstaat
- Book Title
- A Probability Path (Modern Birkhäuser Classics)
- ISBN
- 9780817684082
Over dit product
Product Identifiers
Publisher
Birkhäuser Boston
ISBN-10
0817684085
ISBN-13
9780817684082
eBay Product ID (ePID)
176112539
Product Key Features
Number of Pages
Xiv, 453 Pages
Language
English
Publication Name
Probability Path
Publication Year
2013
Subject
Probability & Statistics / General, Operations Research, Applied
Type
Textbook
Subject Area
Mathematics, Business & Economics
Series
Modern Birkhäuser Classics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.4 in
Item Weight
247.7 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2013-953550
Dewey Edition
23
Reviews
From the reviews: "This introduction to measure-theoretic probability is intended for students whose primary interest is not mathematics but statistics, engineering, biology, or finance. The book is a welcome reprint in paperback ... . The book's pace ... is 'quick and disciplined'." (William J. Satzer, MAA Reviews, March, 2014) "This book is different from the classical textbooks on probability theory in that it treats the measure theoretic background not as a prerequisite but as an integral part of probability theory. The result is that the reader gets a thorough and well-structured framework needed to understand the deeper concepts of current day advanced probability as it is used in statistics, engineering, biology and finance... The pace of the book is quick and disciplined. Yet there are ample examples sprinkled over the entire book and each chapter finishes with a wealthy section of inspiring problems." --Publications of the Int'l Statistical Institute "A very nice introductory measure-theoretic probability textbook... The emphasis [is] on developing a broad, deeper understanding of basic probability theory, the needs of students kept specifically in mind... Students will appreciate its clear, concise, and focused presentation of the material." --JASA "This book is a rather comfortable probability path leading from fundamental notions of measure theory and probability theory to martingale theory, since fundamental concepts and basic theorems are always illustrated by important examples and results of additional theoretical value." --Statistics & Decision "This textbook offers material for a one-semester course in probability, addressed to students whose primary focus is not necessarily mathematics... Each chapter is completed by an exercises section. Carefully selected examples enlighten the reader in many situations. The book is an excellent introduction to probability and its applications." --Revue Roumaine de Mathématiques Pures et Appliquées, "This book is different from the classical textbooks on probability theory in that it treats the measure theoretic background not as a prerequisite but as an integral part of probability theory. The result is that the reader gets a thorough and well-structured framework needed to understand the deeper concepts of current day advanced probability as it is used in statistics, engineering, biology and finance... The pace of the book is quick and disciplined. Yet there are ample examples sprinkled over the entire book and each chapter finishes with a wealthy section of inspiring problems." --Publications of the Int'l Statistical Institute "A very nice introductory measure-theoretic probability textbook... The emphasis [is] on developing a broad, deeper understanding of basic probability theory, the needs of students kept specifically in mind... Students will appreciate its clear, concise, and focused presentation of the material." --JASA "This book is a rather comfortable probability path leading from fundamental notions of measure theory and probability theory to martingale theory, since fundamental concepts and basic theorems are always illustrated by important examples and results of additional theoretical value." --Statistics & Decision "This textbook offers material for a one-semester course in probability, addressed to students whose primary focus is not necessarily mathematics... Each chapter is completed by an exercises section. Carefully selected examples enlighten the reader in many situations. The book is an excellent introduction to probability and its applications." --Revue Roumaine de Mathématiques Pures et Appliquées
TitleLeading
A
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
519.2
Table Of Content
1 Sets and Events.- 2 Probability Spaces.- 3 Random Variables, Elements and Measurable Maps.- 4 Independence.- 5 Integration and Expectation.- 6 Convergence Concepts.- 7 Laws of Large Numbers and Sums of Independent Random Variables.- 8 Convergence in Distribution.- 9 Characteristic Functions and the Central Limit Theorem.- 10 Martingales.- Index.- References.
Synopsis
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 discussion of two fundamental theorems of mathematical finance. Like Adventures in Stochastic Processes , Resnick's related and very successful textbook, A Probability Path is rich in appropriate examples, illustrations and problems and is suitable for classroom use or self-study. The present uncorrected, softcover reprint is designed to make this classic textbook available to a wider audience. This book is different from the classical textbooks on probability theory in that it treats the measure theoretic background not as a prerequisite but as an integral part of probability theory. The result is that the reader gets a thorough and well-structured framework needed to understand the deeper concepts of current day advanced probability as it is used in statistics, engineering, biology and finance.... The pace of the book is quick and disciplined. Yet there are ample examples sprinkled over the entire book and each chapter finishes with a wealthy section of inspiring problems. --Publications of the International Statistical Institute This textbook offers material for a one-semester course in probability, addressed to students whose primary focus is not necessarily mathematics.... Each chapter is completed by an exercises section. Carefully selected examples enlighten the reader in many situations. The book is an excellent introduction to probability and its applications. --Revue Roumaine de Math matiques Pures et Appliqu es, This book explores measure theory, independence, convergence, laws of large numbers, applied probability and more. Covers the central limit theorem, conditional expectation and martingales, and discusses two fundamental theorems of mathematical finance., 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 discussion of two fundamental theorems of mathematical finance. Like Adventures in Stochastic Processes , Resnick's related and very successful textbook, A Probability Path is rich in appropriate examples, illustrations and problems and is suitable for classroom use or self-study. The present uncorrected, softcover reprint is designed to make this classic textbook available to a wider audience. This book is different from the classical textbooks on probability theory in that it treats the measure theoretic background not as a prerequisite but as an integral part of probability theory. The result is that the reader gets a thorough and well-structured framework needed to understand the deeper concepts of current day advanced probability as itis used in statistics, engineering, biology and finance.... The pace of the book is quick and disciplined. Yet there are ample examples sprinkled over the entire book and each chapter finishes with a wealthy section of inspiring problems. --Publications of the International Statistical Institute This textbook offers material for a one-semester course in probability, addressed to students whose primary focus is not necessarily mathematics.... Each chapter is completed by an exercises section. Carefully selected examples enlighten the reader in many situations. The book is an excellent introduction to probability and its applications. --Revue Roumaine de Mathématiques Pures et Appliquées
LC Classification Number
QA273.A1-274.9
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