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Author : Chris P. Tsokos
Publisher : Brooks/Cole
Page : 756 pages
File Size : 40,9 Mb
Release : 1972
Category : Mathematics
ISBN : UOM:39015015716130
Author : Narayanaswamy Balakrishnan,Markos V. Koutras,Konstadinos G. Politis
Publisher : John Wiley & Sons
Page : 548 pages
File Size : 43,9 Mb
Release : 2021-11-24
Category : Mathematics
ISBN : 9781118548554
INTRODUCTION TO PROBABILITY Discover practical models and real-world applications of multivariate models useful in engineering, business, and related disciplines In Introduction to Probability: Multivariate Models and Applications, a team of distinguished researchers delivers a comprehensive exploration of the concepts, methods, and results in multivariate distributions and models. Intended for use in a second course in probability, the material is largely self-contained, with some knowledge of basic probability theory and univariate distributions as the only prerequisite. This textbook is intended as the sequel to Introduction to Probability: Models and Applications. Each chapter begins with a brief historical account of some of the pioneers in probability who made significant contributions to the field. It goes on to describe and explain a critical concept or method in multivariate models and closes with two collections of exercises designed to test basic and advanced understanding of the theory. A wide range of topics are covered, including joint distributions for two or more random variables, independence of two or more variables, transformations of variables, covariance and correlation, a presentation of the most important multivariate distributions, generating functions and limit theorems. This important text: Includes classroom-tested problems and solutions to probability exercises Highlights real-world exercises designed to make clear the concepts presented Uses Mathematica software to illustrate the text’s computer exercises Features applications representing worldwide situations and processes Offers two types of self-assessment exercises at the end of each chapter, so that students may review the material in that chapter and monitor their progress Perfect for students majoring in statistics, engineering, business, psychology, operations research and mathematics taking a second course in probability, Introduction to Probability: Multivariate Models and Applications is also an indispensable resource for anyone who is required to use multivariate distributions to model the uncertainty associated with random phenomena.
Author : Giri
Publisher : Routledge
Page : 570 pages
File Size : 52,5 Mb
Release : 2019-01-22
Category : Mathematics
ISBN : 9781351436694
Beginning with the historical background of probability theory, this thoroughly revised text examines all important aspects of mathematical probability - including random variables, probability distributions, characteristic and generating functions, stochatic convergence, and limit theorems - and provides an introduction to various types of statistical problems, covering the broad range of statistical inference.;Requiring a prerequisite in calculus for complete understanding of the topics discussed, the Second Edition contains new material on: univariate distributions; multivariate distributions; large-sample methods; decision theory; and applications of ANOVA.;A primary text for a year-long undergraduate course in statistics (but easily adapted for a one-semester course in probability only), Introduction to Probability and Statistics is for undergraduate students in a wide range of disciplines-statistics, probability, mathematics, social science, economics, engineering, agriculture, biometry, and education.
Author : Malempati M. Rao,Randall J. Swift
Publisher : Springer Science & Business Media
Page : 537 pages
File Size : 50,6 Mb
Release : 2006-06-03
Category : Mathematics
ISBN : 9780387277318
This is a revised and expanded edition of a successful graduate and reference text. The book is designed for a standard graduate course on probability theory, including some important applications. The new edition offers a detailed treatment of the core area of probability, and both structural and limit results are presented in detail. Compared to the first edition, the material and presentation are better highlighted; each chapter is improved and updated.
Author : Henry C. Tuckwell
Publisher : Routledge
Page : 200 pages
File Size : 48,5 Mb
Release : 2018-02-06
Category : Mathematics
ISBN : 9781351452953
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 : Richard L. Scheaffer,William Mendenhall
Publisher : Brooks/Cole
Page : 308 pages
File Size : 55,7 Mb
Release : 1975
Category : Mathematics
ISBN : UOM:39015016359500
Models of reality; Probability; Discrete random variables and their probability distributions; Continuous random variables and their probability distributions; Multivariate probability distributions; Functions of random variables; Some approximations to probability distributions: limit theorems; Statitical applications.
Author : William Feller
Publisher : John Wiley & Sons
Page : 540 pages
File Size : 47,8 Mb
Release : 1968
Category : Probabilities
ISBN : 8126518057
· Introduction: 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 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
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
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 : Géza Schay
Publisher : Birkhäuser
Page : 385 pages
File Size : 45,9 Mb
Release : 2016-06-17
Category : Mathematics
ISBN : 9783319306209
Now in its second edition, this textbook serves as an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and common probability distributions such as the binomial, Poisson, and normal distributions. More classical examples such as Montmort's problem, the ballot problem, and Bertrand’s paradox are now included, along with applications such as the Maxwell-Boltzmann and Bose-Einstein distributions in physics. Key features in new edition: * 35 new exercises * Expanded section on the algebra of sets * Expanded chapters on probabilities to include more classical examples * New section on regression * Online instructors' manual containing solutions to all exercises“/p> Advanced undergraduate and graduate students in computer science, engineering, and other natural and social sciences with only a basic background in calculus will benefit from this introductory text balancing theory with applications. Review of the first edition: This textbook is a classical and well-written introduction to probability theory and statistics. ... the book is written ‘for an audience such as computer science students, whose mathematical background is not very strong and who do not need the detail and mathematical depth of similar books written for mathematics or statistics majors.’ ... Each new concept is clearly explained and is followed by many detailed examples. ... numerous examples of calculations are given and proofs are well-detailed." (Sophie Lemaire, Mathematical Reviews, Issue 2008 m)
Author : William Feller
Publisher : John Wiley & Sons
Page : 709 pages
File Size : 45,9 Mb
Release : 1991-01-08
Category : Mathematics
ISBN : 9780471257097
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 : William Feller
Publisher : John Wiley & Sons
Page : 538 pages
File Size : 49,6 Mb
Release : 1968-01-15
Category : Mathematics
ISBN : UOM:39015017128946
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 : William Feller
Publisher : Unknown
Page : 652 pages
File Size : 46,6 Mb
Release : 1950
Category : Probabilities
ISBN : UOM:39015016359377
Vol. 2 has series: Wiley series in probability and mathematical statistics. Bibliographical footnotes. "Some books on cagnate subjects": v. 2, p. 615-616.
Author : Mark Smart
Publisher : Independently Published
Page : 54 pages
File Size : 48,9 Mb
Release : 2018-09-19
Category : Mathematics
ISBN : 172383372X
This book is a guide for you on probability theory. It is a good book for students and practitioners in fields such as finance, engineering, science, technology and others. The book guides on how to approach probability in the right way. Numerous examples have been given, both theoretical and mathematical with a high degree of accuracy. If you have wished to know how to model random and uncertain events, this is the right book for you. The author guides you on how to tackle probabilistic problems using various forms of probability distributions. Probabilities are normally combined using rules. The author has helped you understand how to apply these rules to model your problems. The author has approached the subject in an easy way and by use of real world examples. Numerous stories have been given to help you know how the various distributions are connected and the kind of problems where each distribution should be applied. The author finally helps you know the areas in which probability is applied today. You will also know the various ways you can use probability in your day-to-day activities for your own benefit. It is the best book to help you know how to make better decisions when dealing with random and uncertain events. If you are a student, grab a copy of this book and know how to tackle probability-related problems. The content of this book is: What is Probability Theory Basic Rules for Combining Probabilities Probability Distributions for Discrete Variables Binomial Distribution Poisson Distribution Normal Probability Distributions Sampling Applications of Probability Subjects include: probability theory and examples, probability and statistics, probability an introduction, probability theory and statistics for economists, probability for beginners, probability for finance, probabilistic graphical models, probability distributions.
Author : Robert P. Dobrow
Publisher : John Wiley & Sons
Page : 366 pages
File Size : 45,7 Mb
Release : 2013-10-16
Category : Mathematics
ISBN : 9781118589441
An introduction to probability at the undergraduate level Chance and randomness are encountered on a daily basis. Authored by a highly qualified professor in the field, Probability: With Applications and R delves into the theories and applications essential to obtaining a thorough understanding of probability. With real-life examples and thoughtful exercises from fields as diverse as biology, computer science, cryptology, ecology, public health, and sports, the book is accessible for a variety of readers. The book’s emphasis on simulation through the use of the popular R software language clarifies and illustrates key computational and theoretical results. Probability: With Applications and R helps readers develop problem-solving skills and delivers an appropriate mix of theory and application. The book includes: Chapters covering first principles, conditional probability, independent trials, random variables, discrete distributions, continuous probability, continuous distributions, conditional distribution, and limits An early introduction to random variables and Monte Carlo simulation and an emphasis on conditional probability, conditioning, and developing probabilistic intuition An R tutorial with example script files Many classic and historical problems of probability as well as nontraditional material, such as Benford’s law, power-law distributions, and Bayesian statistics A topics section with suitable material for projects and explorations, such as random walk on graphs, Markov chains, and Markov chain Monte Carlo Chapter-by-chapter summaries and hundreds of practical exercises Probability: With Applications and R is an ideal text for a beginning course in probability at the undergraduate level.
Author : Willliam Feller
Publisher : John Wiley & Sons
Page : 708 pages
File Size : 49,5 Mb
Release : 2008-08
Category : Electronic
ISBN : 8126518065
· The Exponential and the Uniform Densities· Special Densities. Randomization· Densities in Higher Dimensions. Normal Densities and Processes· Probability Measures and Spaces· Probability Distributions in Rr· A Survey of Some Important Distributions and Processes· Laws of Large Numbers. Applications in Analysis· The Basic Limit Theorems· Infinitely Divisible Distributions and Semi-Groups· Markov Processes and Semi-Groups· Renewal Theory· Random Walks in R1· Laplace Transforms. Tauberian Theorems. Resolvents· Applications of Laplace Transforms· Characteristic Functions· Expansions Related to the Central Limit Theorem,· Infinitely Divisible Distributions· Applications of Fourier Methods to Random Walks· Harmonic Analysis