Fundamentals of Probability: A First Course (Record no. 110524)

000 -LEADER
fixed length control field 04118nam a22004575i 4500
001 - CONTROL NUMBER
control field 978-1-4419-5780-1
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220084508.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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fixed length control field 100427s2010 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781441957801
-- 978-1-4419-5780-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4419-5780-1
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA273.A1-274.9
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA274-274.9
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBT
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBWL
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT029000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name DasGupta, Anirban.
Relator term author.
245 10 - TITLE STATEMENT
Title Fundamentals of Probability: A First Course
Medium [electronic resource] /
Statement of responsibility, etc by Anirban DasGupta.
264 #1 -
-- New York, NY :
-- Springer New York,
-- 2010.
300 ## - PHYSICAL DESCRIPTION
Extent XVI, 494p.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
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-- computer
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-- rdamedia
338 ## -
-- online resource
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-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement Springer Texts in Statistics,
International Standard Serial Number 1431-875X
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introducing Probability -- The Birthday and Matching Problems -- Conditional Probability and Independence -- Integer-Valued and Discrete Random Variables -- Generating Functions -- Standard Discrete Distributions -- Continuous Random Variables -- Some Special Continuous Distributions -- Normal Distribution -- Normal Approximations and the Central Limit Theorem -- Multivariate Discrete Distributions -- Multidimensional Densities -- Convolutions and Transformations -- Markov Chains and Applications -- Urn Models in Physics and Genetics.
520 ## - SUMMARY, ETC.
Summary, etc This is a text encompassing all of the standard topics in introductory probability theory, together with a significant amount of optional material of emerging importance. The emphasis is on a lucid and accessible writing style, mixed with a large number of interesting examples of a diverse nature. The text will prepare students extremely well for courses in more advanced probability and in statistical theory and for the actuary exam. The book covers combinatorial probability, all the standard univariate discrete and continuous distributions, joint and conditional distributions in the bivariate and the multivariate case, the bivariate normal distribution, moment generating functions, various probability inequalities, the central limit theorem and the laws of large numbers, and the distribution theory of order statistics. In addition, the book gives a complete and accessible treatment of finite Markov chains, and a treatment of modern urn models and statistical genetics. It includes 303 worked out examples and 810 exercises, including a large compendium of supplementary exercises for exam preparation and additional homework. Each chapter has a detailed chapter summary. The appendix includes the important formulas for the distributions in common use and important formulas from calculus, algebra, trigonometry, and geometry. Anirban DasGupta is Professor of Statistics at Purdue University, USA. He has been the main editor of the Lecture Notes and Monographs series, as well as the Collections series of the Institute of Mathematical Statistics, and is currently the Co-editor of the Selected Works in Statistics and Probability series, published by Springer. He has been an associate editor of the Annals of Statistics, Journal of the American Statistical Association, Journal of Statistical Planning and Inference, International Statistical Review, Sankhya, and Metrika. He is the author of Asymptotic Theory of Statistics and Probability, 2008, and of 70 refereed articles on probability and statistics. He is a Fellow of the Institute of Mathematical Statistics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Distribution (Probability theory).
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Probability Theory and Stochastic Processes.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781441957795
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Springer Texts in Statistics,
-- 1431-875X
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-4419-5780-1
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-- ZDB-2-SMA

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