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About this Item: New York, Springer, XIV, p. Imperfect copy due to slightly bumped cover, apart from this in very good condition.

A Probability Path (Paperback)

Reprint of the Edition. Seller Inventory IB. Condition: Neu. Neuware - 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.

About this book

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.

L25.4 The Probability of a Path

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. 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. From: BuchWeltWeit Inh.

Ludwig Meier e. Bergisch Gladbach, Germany. Published by Birkhauser About this Item: Birkhauser, Condition: Brand New. In Stock.


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Seller Inventory x Published by Birkhauser Verlag AG Language: English. Brand new Book. 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. 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.

A Probability Path - Sidney Resnick - Google книги

Seller Inventory AAV Published by Cram About this Item: Cram, A probability-based path planning method using fuzzy logic Abstract: In this paper, we improve the path-of-probability POP algorithm to generate better and smoother paths for robotic systems. The POP algorithm generates a full path with the maximum probability to reach a target. Although the POP algorithm has been successfully applied to path generation of robotic systems, it has the limit that the intermediate paths are generated using a finite and small number of candidate paths. This results in non-smooth or zigzag pattern paths which are not desirable for practical use.


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In addition, this approach sometimes fails to generate a path that reaches a target. This can be overcome by increasing the number of candidate paths, but it increases the computation time too. To improve the POP method, we use a fuzzy logic. 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. 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.