books about: stochastic
 
 



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Probability, Random Variables and Stochastic Processes28 reviews
Athanasios Papoulis, S.Unnikrishna Pillai

McGraw-Hill Publishing Co., 2002

Very formal treatment, use this if you also have a tutor / professor
Im writing this review because I felt most of the other reviews here were unfair. If you are not interested in the subject, you'll find any text on random processes bad! Anyway, the text book is a very formal treatment of the subject - and is a good accompaniment if you have access to a professor or tutor you can discuss things over with. If you are planning to read this up on your own, it's ...
  
  











  



  
Stochastic Calculus for Finance I: The Binomial Asset Pricing Model (Springer Finance)15 reviews
Steven E. Shreve

Springer, 2005

Great balance between technical and intuitive
This book seemed to strike the perfect balance between going through the necessary math and getting the points across without pushing the non-PhD reader overboard. This is a great book for semi-mathematical types who practice in finance, or for mathematicians who are looking to understand the basics of finance. I, being the former, enjoyed having the concepts of stochastic calculus and ...
  
  











  



  
Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers9 reviews
Roy D. Yates, David J. Goodman

Wiley, 2004

A supportive reader
Let me begin by saying this book is written at a level for senior level B.S. and first year M.S. engineering (not math) students. It is the best book I've seen for introducing probability, random variables and related concepts to this student demographic (particularly to Elec. Eng. or Comp. Eng majors). It has all the introductory concepts and lays out the foundation for later subject matter in ...
  
  











  



  
Stochastic Differential Equations: An Introduction with Applications (Universitext)22 reviews
Bernt Oksendal

Springer, 2007

A very good book!
I read this book after I had read Karatzas' and Shreve's book "Stochastic Calculus..." and it is probably better to do it the other way round. The mathematical prerequisites are not high, however a good intuitive understanding of measure theory is probably necessary. The pace of the book is leasurely, the proofs are such, that pencil and paper is rarely needed, however no rigor is lost. The book ...
  
  











  



  
Brownian Motion and Stochastic Calculus (Graduate Texts in Mathematics)7 reviews
Ioannis Karatzas, Steven E. Shreve

Springer, 2004

The best introduction
The theory of Brownian motion is ubiquitous in physics and mathematics, and has recently become very important in mathematical finance and network modeling. The observation of the irregular movement of pollen suspended in water by Robert Brown in 1828 led Albert Einstein to formulate a theory for Brownian motion. In this book the authors outline rigorously the theory of Browian motion. Their ...
  
  











  



  
Adventures in Stochastic Processes6 reviews
Sidney I. Resnick

Birkhäuser Boston, 1992

innovative and always original in his treatment of probability
Sid Renick was an assistant professor of statistics at Stanford University in the mid 1970s when I was a graduate student there. I took advanced courses in stochastic processes from him and he was on my Ph.D. orals committee. He had a unique teaching style that comes across in all his books as well. He makes mathematics, statistics and stochastic processes come alive in his writing and he ...
  
  











  



  
An Introduction to Stochastic Modeling, Third Edition8 reviews
Samuel Karlin, Howard M. Taylor

Academic Press, 1998

Dive into the deep end... or atleast pretend you are...
This book opens with a nose dive into Conditional probability. Unlike some other authors that devote a half their entire bloody book on review of probability, random variables, and conditional probability distributions, this book assumes a firm or atleast an introductory knowledge of the above. Ideally, a good probability book such as Hogg and Tanis would prove to be quite helpful as a ...
  
  











  



  
Fundamentals of Probability, with Stochastic Processes (3rd Edition)14 reviews
Saeed Ghahramani

Prentice Hall, 2004

Very good and concrete introduction!
I am a graduate in statistics. The textbook I used is the Introduction to probability by bertsekas and Tsitsiklis while I used this book for supplementary and I found it excellent! It provides some brief history about probability and most improtant, concrete process of the proof of theorms, many of which are very attractive to me!
  
  











  



  
Stochastic Calculus for Finance II: Continuous-Time Models (Springer Finance)26 reviews
Steven E. Shreve

Springer, 2008

Pre-digested chicken soup for the "aspiring quant"
While writing a review for Hull's text, I suggested that an easier (than to start with Hull) way to learn quantitative finance is to pick up one of the more focused books on the subject. There is a huge deluge of these books - I think one comes out every few weeks. They all cover the same topics, in roughly the same manner, so there is little that distinguishes one from the other. There is ...
  
  











  



  
Introduction to Stochastic Processes, Second Edition4 reviews
Gregory F. Lawler

Chapman & Hall/CRC, 2006

More than precise in every aspect
This is one of the best books I've ever read in Stochastic Processes. Prof. Lawler presents Markov Chains (Finite, Countable and Continuous), Optimal Stopping, Martingales and Brownian motion concisely and straight to the gist of the subject. The exercises set at the end of each chapter fall into 2 categories: for people who read the book well and actually understand what has been stated, and to ...
  
  











  



  
Handbook of Stochastic Methods: for Physics, Chemistry and the Natural Sciences (Springer Series in ...3 reviews
Crispin W. Gardiner

Springer, 2004

A very important book in th area
This is a great book. The different chapters are very clearly written and each of them could be applied as a tool for solving similar problems, one may encounter in his (hers) research. Although the text is not introductory, with some effort, the reader could avoid going through more elementary books on the subject first.
  
  











  



  
Basic Stochastic Processes9 reviews
Zdzislaw Brzezniak, Tomasz Zastawniak

Springer, 2000

Excellent for helping with the theory
After reading the few bad reviews for this book, I thought I should explain this book. This book is excellent in helping you with the theory; but don't be fooled--Pure Stochastic Process theory is extremely hard and mathematically abstract. I consider this book superb in its attempt to help others learn the difficult theory. I've noticed in the past that certain people who cannot handle ...
  
  











  



  
Introduction to Stochastic Calculus with Applications9 reviews
Fima C. Klebaner

Imperial College Press, 2005

Splendid text, but perhaps a bit lost in the shuffle.
The second edition of this delightful title by Fima C. Klebaner (Monash University, Australia) is a well-written and worthwhile excursion into the realm of stochastic calculus. The text is suited for self-study for a newcomer to the area and there are numerous worked out examples interspersed throughout. Chapters 1 and 2 cover the basics of math and probability/random processes. The author next ...
  
  











  



  
Stochastic Processes11 reviews
Sheldon M. Ross

Wiley, 1995

A concise and intuitive introduction to stochastic modeling
I was surprised to see this book getting negative reviews, as it's one of my very favorite textbooks in this area, and I found it an absolute joy to study from when I took probability my first year of grad school. The writing and notational style are indeed concise. However, I appreciated that there wasn't a lot of "filler" text. Instead, the intuition comes by working through the proofs and ...
  
  











  



  
Stochastic Claims Reserving Methods in Insurance (The Wiley Finance Series)1 review
Mario V. Wüthrich, Michael Merz

Wiley, 2008

Tim's gift
My son is an actuary, and he selected this book as a birthday gift. He was very happy to receive it and read the first chapter right away before continuing on with his other gifts.
  
  











  



  
Introduction to Stochastic Integration (Universitext)1 review
Hui-Hsiung Kuo

Springer, 2005

An excellent text
From perspective of real analysis, this text gives a rigorous introduction to Ito calculus. In an extremely smooth fashion, all chapters flow out one by one. A background on real analysis is required. However, is it true that some basics of real analysis, e.g. Riemann integration, measurability, etc, are prerequisites for stochastic calculus? It was a wonderful experience for me to read though ...
  
  











  



  
Stochastic Simulation: Algorithms and Analysis (Stochastic Modelling and Applied Probability)
Søren Asmussen, Peter W. Glynn

Springer, 2007

Sampling-based computational methods have become a fundamental part of the numerical toolset of practitioners and researchers across an enormous number of different applied domains and academic disciplines. This book provides a broad treatment of such sampling-based methods, as well as accompanying mathematical analysis of the convergence properties of the methods discussed. The reach of the ideas is illustrated by discussing a wide range of ...
  
  











  



  
A First Course in Stochastic Processes, Second Edition6 reviews
Samuel Karlin, Howard M. Taylor

Academic Press, 1975

A wonderful introduction to stochastic processes
This is one of those rare mathematical books that is both deeply informative, and a sheer pleasure to read. The book is written in a delightful old mathematical style, where the authors take you by hand through the difficult passages and derivations. The intuition about stochastic processes is so well conveyed, and the mathematics so well explained, that the book can be read with little or no ...
  
  











  



  
Stochastic Calculus and Financial Applications18 reviews
J. Michael Steele

Springer, 2003

A Beautiful MATH Book
Before I write this review, it's only fair to disclose that before even hearing of it I already had a very solid background in (graduate-level) analysis, which as another reader astutely pointed out is often considered "calculus" in the math community (I think the classic Calculus by Shlomo Steinberg, which can be found free online, has been used at Harvard for decades, while Tom Apostol's ...
  
  











  



  
Elementary Stochastic Calculus With Finance in View (Advanced Series on Statistical Science & Applied ...15 reviews
Thomas Mikosch

World Scientific Publishing Company, 1999

Not a finance book, but one hell of an applied math book...
First of all, and most importantly, this is a math book with some finance in it, not the other way around, so you need to know some math before tackling it! If you find Newtonian Calculus complicated, Stochastic Calculus (which, in the realm of mathematics, is not the easiest of topics to start with) is not for you. The aim of the book is not to present mathematical finance theory, such as ...
  
  











  








   



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