
A Probability Path
Sidney Resnick(Author)
Birkhauser Boston (Publisher)
Published on 1. September 2003
Book
Hardback
XII, 453 pages
978-0-8176-4055-2 (ISBN)
Description
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.
Reviews / Votes
"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 Mathematiques Pures et Appliquees"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 Mathematiques Pures et Appliquees
More details
Edition
1st ed. 1998. 3rd printing 2003
Language
English
Place of publication
MA
United States
Target group
College/higher education
Research
Product notice
Laminated cover
Illustrations
1 s/w Tabelle
1 black & white tables, biography
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Thickness: 25 mm
Weight
1840 gr
ISBN-13
978-0-8176-4055-2 (9780817640552)
DOI
10.1007/978-1-4612-1818-0
Schweitzer Classification
Other editions
Additional editions


Previous edition
Sidney I. Resnick
A Probability Path
Book
10/1998
Birkhäuser Verlag GmbH
€60.66
Article exhausted; check for reprint
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
10. Martingales; Index; References