A Natural Introduction To Probability Theory

Author : Ronald Meester
Publisher : Birkhäuser
Page : 196 pages
File Size : 55,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783034877862

Get Book

A Natural Introduction to Probability Theory by Ronald Meester Pdf

Compactly written, but nevertheless very readable, appealing to intuition, this introduction to probability theory is an excellent textbook for a one-semester course for undergraduates in any direction that uses probabilistic ideas. Technical machinery is only introduced when necessary. The route is rigorous but does not use measure theory. The text is illustrated with many original and surprising examples and problems taken from classical applications like gambling, geometry or graph theory, as well as from applications in biology, medicine, social sciences, sports, and coding theory. Only first-year calculus is required.

Author : R. Meester
Publisher : Birkhäuser
Page : 198 pages
File Size : 52,9 Mb
Release : 2009-09-03
Category : Mathematics
ISBN : 3764392339

Get Book

A Natural Introduction to Probability Theory by R. Meester Pdf

Compactly written, but nevertheless very readable, appealing to intuition, this introduction to probability theory is an excellent textbook for a one-semester course for undergraduates in any direction that uses probabilistic ideas. Technical machinery is only introduced when necessary. The route is rigorous but does not use measure theory. The text is illustrated with many original and surprising examples and problems taken from classical applications like gambling, geometry or graph theory, as well as from applications in biology, medicine, social sciences, sports, and coding theory. Only first-year calculus is required.

Author : Charles Miller Grinstead,James Laurie Snell
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 45,7 Mb
Release : 1997
Category : Mathematics
ISBN : 0821807498

Get Book

Introduction to Probability by Charles Miller Grinstead,James Laurie Snell Pdf

This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.

Author : K. Itô
Publisher : Cambridge University Press
Page : 228 pages
File Size : 45,5 Mb
Release : 1984-09-28
Category : Mathematics
ISBN : 0521269601

Get Book

An Introduction to Probability Theory by K. Itô Pdf

One of the most distinguished probability theorists in the world rigorously explains the basic probabilistic concepts while fostering an intuitive understanding of random phenomena.

Author : William Feller
Publisher : John Wiley & Sons
Page : 538 pages
File Size : 51,6 Mb
Release : 1968-01-15
Category : Mathematics
ISBN : UOM:39015017128946

Get Book

An Introduction to Probability Theory and Its Applications, Volume 1 by William Feller Pdf

The nature of probability theory. The sample space. Elements of combinatorial analysis. Fluctuations in coin tossing and random walks. Combination of events. Conditional probability, stochastic independence. The binomial and the Poisson distributions. The Normal approximation to the binomial distribution. Unlimited sequences of Bernoulli trials. Random variables, expectation. Laws of large numbers. Integral valued variables, generating functions. Compound distributions. Branching processes. Recurrent events. Renewal theory. Random walk and ruin problems. Markov chains. Algebraic treatment of finite Markov chains. The simplest time-dependent stochastic processes. Answer to problems. Index.

Author : Lester L. Helms
Publisher : Courier Corporation
Page : 370 pages
File Size : 53,6 Mb
Release : 2010-04-21
Category : Mathematics
ISBN : 9780486474182

Get Book

Introduction to Probability Theory with Contemporary Applications by Lester L. Helms Pdf

This introduction to probability theory transforms a highly abstract subject into a series of coherent concepts. Its extensive discussions and clear examples, written in plain language, expose students to the rules and methods of probability. Numerous exercises foster the development of problem-solving skills, and all problems feature step-by-step solutions. 1997 edition.

Author : Anonim
Publisher : Unknown
Page : 542 pages
File Size : 48,6 Mb
Release : 1968
Category : Probabilities
ISBN : OCLC:667047463

Get Book

An Introduction to Probability Theory by Anonim Pdf

Author : Parimal Mukhopadhyay
Publisher : World Scientific
Page : 493 pages
File Size : 53,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814313421

Get Book

An Introduction to the Theory of Probability by Parimal Mukhopadhyay Pdf

The Theory of Probability is a major tool that can be used to explain and understand the various phenomena in different natural, physical and social sciences. This book provides a systematic exposition of the theory in a setting which contains a balanced mixture of the classical approach and the modern day axiomatic approach. After reviewing the basis of the theory, the book considers univariate distributions, bivariate normal distribution, multinomial distribution and convergence of random variables. Difficult ideas have been explained lucidly and have been augmented with explanatory notes, examples and exercises. The basic requirement for reading this book is simply a knowledge of mathematics at graduate level. This book tries to explain the difficult ideas in the axiomatic approach to the theory of probability in a clear and comprehensible manner. It includes several unusual distributions including the power series distribution that have been covered in great detail. Readers will find many worked-out examples and exercises with hints, which will make the book easily readable and engaging. The author is a former Professor of the Indian Statistical Institute, India.

Author : William Feller
Publisher : John Wiley & Sons
Page : 709 pages
File Size : 54,9 Mb
Release : 1991-01-08
Category : Mathematics
ISBN : 9780471257097

Get Book

An Introduction to Probability Theory and Its Applications, Volume 2 by William Feller Pdf

The classic text for understanding complex statistical probability An Introduction to Probability Theory and Its Applications offers comprehensive explanations to complex statistical problems. Delving deep into densities and distributions while relating critical formulas, processes and approaches, this rigorous text provides a solid grounding in probability with practice problems throughout. Heavy on application without sacrificing theory, the discussion takes the time to explain difficult topics and how to use them. This new second edition includes new material related to the substitution of probabilistic arguments for combinatorial artifices as well as new sections on branching processes, Markov chains, and the DeMoivre-Laplace theorem.

Author : Henry C. Tuckwell
Publisher : Routledge
Page : 200 pages
File Size : 48,9 Mb
Release : 2018-02-06
Category : Mathematics
ISBN : 9781351452953

Get Book

Elementary Applications of Probability Theory by Henry C. Tuckwell Pdf

This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered include geometric probability, estimation of animal and plant populations, reliability theory and computer simulation. Chapter six contains a lucid account of the convergence of sequences of random variables, with emphasis on the central limit theorem and the weak law of numbers. The next four chapters introduce random processes, including random walks and Markov chains illustrated by examples in population genetics and population growth. This edition also includes two chapters which introduce, in a manifestly readable fashion, the topic of stochastic differential equations and their applications.

Author : Rick Durrett
Publisher : Cambridge University Press
Page : 128 pages
File Size : 55,6 Mb
Release : 2010-08-30
Category : Mathematics
ISBN : 9781139491136

Get Book

Probability by Rick Durrett Pdf

This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Author : F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 42,5 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9781846281686

Get Book

A Modern Introduction to Probability and Statistics by F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester Pdf

Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

Author : Dimitri Bertsekas,John N. Tsitsiklis
Publisher : Athena Scientific
Page : 544 pages
File Size : 50,6 Mb
Release : 2008-07-01
Category : Mathematics
ISBN : 9781886529236

Get Book

Introduction to Probability by Dimitri Bertsekas,John N. Tsitsiklis Pdf

An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.

Author : Kenneth Baclawski
Publisher : CRC Press
Page : 384 pages
File Size : 51,8 Mb
Release : 2008-01-24
Category : Mathematics
ISBN : 142006522X

Get Book

Introduction to Probability with R by Kenneth Baclawski Pdf

Based on a popular course taught by the late Gian-Carlo Rota of MIT, with many new topics covered as well, Introduction to Probability with R presents R programs and animations to provide an intuitive yet rigorous understanding of how to model natural phenomena from a probabilistic point of view. Although the R programs are small in length, they are just as sophisticated and powerful as longer programs in other languages. This brevity makes it easy for students to become proficient in R. This calculus-based introduction organizes the material around key themes. One of the most important themes centers on viewing probability as a way to look at the world, helping students think and reason probabilistically. The text also shows how to combine and link stochastic processes to form more complex processes that are better models of natural phenomena. In addition, it presents a unified treatment of transforms, such as Laplace, Fourier, and z; the foundations of fundamental stochastic processes using entropy and information; and an introduction to Markov chains from various viewpoints. Each chapter includes a short biographical note about a contributor to probability theory, exercises, and selected answers. The book has an accompanying website with more information.

Author : Harold J. Larson
Publisher : Unknown
Page : 410 pages
File Size : 51,9 Mb
Release : 1969
Category : Mathematics
ISBN : UOM:39015015712394

Get Book

Introduction to Probability Theory and Statistical Inference by Harold J. Larson Pdf