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The sixth edition is a major revision over the fifth. It contains new material and results on the Local Limit Theorem, the Integral Law of Large Numbers, and Characteristic Functions. The new edition retains the feature of developing the subject from intuitive concepts and demonstrating techniques and theory through large numbers of examples. The author has, for the first time, included a brief history of probability and its development. Exercise problems and examples have been revised and new ones added.
This book is the sixth edition of a classic text that was first published in 1950 in the former Soviet Union. The clear presentation of the subject and extensive applications supported with real data helped establish the book as a standard for the field. To date, it has been published into more that ten languages and has gone through five editions. ... Read more

Customer Reviews (2)

One of the best
I bought my Chesea copy for about 5 bucks while in grad. school, look at it more and more these days. E.g., the derivation of Kolmogorov's 1st pde, the backward time pde for general variable diffusion coefficients, therefore not assuming space or time translational invariance, is hard to find elsewhere in readable form. That equation is important: to within a trivial time transformation it's the (generalized) Black-Scholes pde of 'fair' option pricing in finance. What's lacking is an example of a nontrivial example solved in closed form, one where the transition density g(x,t:x',t') is not symmetric. Let the reader work out the Green function for the drift-free lognormal model for herself in order to see an example that provides insight. In any case, I've looked at Risken and Gardiner and did not find them useful for research. I refer even more often to Stratonovich (Vol. I) and Wax, the classics in the field.

excellent non-measure theoretic treatment of probability
This is a non-measure theoretic treatment of probability whose scope is similar to the first volume of Feller. Although each topic begins witha few simple but insightful examples, what they result is somewhat in-depth discussion. There are minor problems in writing and editing, but I foundnone so serious. This is another amazing Russian mathematics book thatbegins at an elementary level but ends with some real treatment, and thisbook is totally accessible to those who did not rigorously study analysisor measure theory. Highly recommend this to those who seriously desire tostudy probability.

What is also apparent as a feature of this book isthat Gnedenko often notes the details of history. He spends a70-page-appendix for this purpose besides many little footnotes. The authoroften integrates historical evidences as a part of the treatment. I believeone still benefits a lot from this historical notes, even if alreadyfamiliar with the subject.

This book has chapters on the author'sspecialty topics: limit theorems and infinitely divisible distributions.This book also has a chapter on stochastic processes and elements ofstatistics, the latter which Feller's first volume does not touch. However,these brief treatments are only for introductions to each subject. ... Read more

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Proven statistical reliability analysis methods-available for the first time to engineers in the West While probabilistic methods of system reliability analysis have reached an unparalleled degree of refinement, Russian engineers have concentrated on developing more advanced statistical methods. Over the past several decades, their efforts have yielded highly evolved statistical models that have proven to be especially valuable in the estimation of reliability based upon tests of individual units of systems. Now Statistical Reliability Engineering affords engineers a unique opportunity to learn both the theory behind and applications of those statistical methods. Written by three leading innovators in the field, Statistical Reliability Engineering:
* Covers all mathematical models for statistical reliability analysis, including Bayesian estimation, accelerated testing, and Monte Carlo simulation
* Focuses on the estimation of various measures of system reliability based on the testing of individual units
* Contains new theoretical results available for the first time in print
* Features numerous examples demonstrating practical applications of the theory presented
Statistical Reliability Engineering is an important professional resource for reliability and design engineers, especially those in the telecommunications and electronics industries. It is also an excellent course text for advanced courses in reliability engineering. ... Read more

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Contains all pertinent mathematical models, emphasizing the physical processes that cause equipment failures, and how to select or develop models that best fit these processes. Features several unique sections on maintenance and cost analysis. Describes numerous new results of probabilistic testing unavailable elsewhere. Scores of actual examples and case studies illustrate the theory presented. ... Read more

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Explores concept of probability, surveys rules for addition and multiplication of probabilities, conditional probability, total probability, Bayes formula, Bernoulli’s scheme, random variables, the Chebychev inequality, distribution curves, and the means by which an event is declared to be in practice impossible.
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Customer Reviews (3)

a model of clarity
This book explains concepts simply and clearly.It is the exact opposite of a typical American math book which is filled with useless formalism and endlessly repeated examples.This book conveys the core concepts of probability quickly and seemingly effortlessly.

An illuminating introduction to probability theory.
This brief text, which was written for high school students in the Soviet Union following World War II, is an illuminating introduction to probability theory that does not require a foundation in calculus.The authors develop the theory by generalizing from examples, most of which are taken from military or industrial applications.This gives the reader insight into how mathematicians develop theorems by abstracting from problems arising in the real world.The theorems are proved rigorously except in the final chapter on normal distributions.Formal proofs about normal distributions require advanced mathematics not familiar to the intended audience.

Probability theory is developed in the first section of the text.The authors define probability.They explain the addition rule and how it simplifies when events are mutually exclusive. Likewise, after they obtain the multiplication rule in terms of conditional probabilities, they explain how it simplifies when events are mutually independent.The authors discuss Bayes' formula for the probability of a hypothesis given that a given event has been observed using several examples.They then prove Bernoulli's formula for the most probable number of occurrences of an event when there are a large number of trials.

The second section of the text is on random variables. The authors discuss laws of distribution, mean values, variance and standard of deviation, and how these quantities are used to measure the dispersion of a random variable.Their development culminates in Chebyshev's law of large numbers.In the final chapter on normal distributions, the authors informally discuss their properties and show how they can be used to solve problems.

In a brief conclusion, the authors discuss other developments in probability theory that are beyond the scope of this text.

This text is an excellent introduction to probability theory.I recommend it highly for the insights it offers.However, it does not contain exercises.To learn mathematics, one must solve problems.Therefore, I suggest that you read this text in conjunction with a problem book on probability or a text on probability that does contain exercises such as Samuel Goldberg's Probability: An Introduction.

Old and useful, but get something else
Even though the fifth edition of this book was published in 1961, this book still gives a useful and brief introduction to probability.However, if you're going to buy a book to learn statistics or probability, I would suggest a more recent book.They may not be as brief and concise as this, but newer books would be more up to date.One interesting thing about the Gnedenko/Khinchin book is their examples and problems, which involve things such as the production of artillery shells, or hitting targets with cannons.It is a very welcome change from the traditional, but obvious examples that use decks of cards or dice.Also, it says things about the audience for whom this book was originally meant, and the relevant topics of the time of the cold war.Still, I suggest a more recent text. ... Read more

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This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of its applications to solving practical problems in hardware and software reliability, insurance, finance, and more. The authors show how practice interacts with theory, and how new mathematical formulations of problems appear and develop.Attention is mainly focused on transfer theorems, description of the classes of limit laws, and criteria for convergence of distributions of sums for a random number of random variables. Theoretical background is given for the choice of approximations for the distribution of stock prices or surplus processes. General mathematical theory of reliability growth of modified systems, including software, is presented. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes.Random Summation: Limit Theorems and Applications will be of use to specialists and students in probability theory, mathematical statistics, and stochastic processes, as well as to financial mathematicians, actuaries, and to engineers desiring to improve probability models for solving practical problems and for finding new approaches to the construction of mathematical models. ... Read more

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The book is dedicated to the 95 th anniversary of Boris Gnedenko, is a collection of memories closest disciples and collaborators Boris Vladimirovich about him, about the time in which they dropped out to live and work on the tasks that had to decide about human relationships. ????? ????????????? ???? ?????????????? ???????? ????????????? ?????, ?????? ????? ??????????????, ??????? ??????????, ?????????, ?????????? ??????? ???????. The book is intended for all interested in the history of Soviet science, especially teachers, researchers, students, high school students.This book is in russian. ... Read more

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In this revealing study, Larry Hirschhorn examines the rituals, or social defenses, organizations develop to cope with change. Using extended ease studies from offices, factories, and social services, he describes why these often irrational practices that fragment and injure individuals within the workplace exist, how they operate, and how they can be reshaped to enhance people's work experience. ... Read more

Customer Reviews (1)

A Deeper Look at Organizational Life
Don't let the title of this fine book scare you off. Hirschhorn's The Workplace Within is one of the finest tools available for the executive who wishes to deepen his or her understanding of what goes on in organizations today. On the other hand, even though it is very clearly written and laden with real-life scenarios from the author's consulting work in organizations, it is not a simple "how to" management text.

Hirschhorn gives very detailed descriptions of what goes wrong in organizations when wedo not question our assumptions. It is almost as if we are sleep walking through our daily work routines, acting out rivalries, making absurd demands on each other, or alternatively, minimzing the actual terror and anxiety we feel.

When read carefully, thoroughly and critically, this book can be a wonderful tool for extending one's social sensitivity in the workplace. It is the kind of book that you can turn to again and again to help illuminate confusing incidents in the workplace and to create attentiveness to one's actual impact on others. As such it is a useful companion to a 360 degree feedback process or participation in an executive assessment or coaching program. ... Read more