skip to content
Introduction to probability Preview this item
ClosePreview this item

Introduction to probability

Author: John B Thomas
Publisher: New York : Springer-Verlag, ©1986.
Series: Springer texts in electrical engineering.
Edition/Format:   Print book : EnglishView all editions and formats

This book was written for an introductory one-term course in probability. It is intended to provide the minimum background in probability that is necessary for students interested in applications to  Read more...


(not yet rated) 0 with reviews - Be the first.

More like this

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...


Genre/Form: Einführung
Additional Physical Format: Online version:
Thomas, John Bowman, 1925-
Introduction to probability.
New York : Springer-Verlag, ©1986
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: John B Thomas
ISBN: 0387963197 9780387963198 3540963197 9783540963196
OCLC Number: 13218611
Notes: "A Dowden & Culver book."
Description: x, 247 pages : illustrations ; 24 cm.
Contents: 1-Introduction and Preliminary Concepts.- 1.1-Random Phenomena.- 1.2-Elements of Set Theory.- 1.3-A Classical Concept of Probability.- 1.4-Elements of Combinatorial Analysis.- 1.5-The Axiomatic Foundation of Probability Theory.- 1.6-Finite Sample Spaces.- 1.7-Fields, ?-Fields, and Infinite Sample Spaces.- 1.8-Conditional Probability and Independence.- Problems.- 2-Random Variables.- 2.1-Definition.- 2.2-Discrete Random Variables.- 2.3-Continuous Random Variables.- 2.4-Random Vectors.- 2.5-Independence of Random Variables.- Problems.- 8-Distribution and Density Functions.- 3.1-Distribution Functions.- 3.2-Properties of Distribution Functions.- 3.3-The Decomposition of Distribution Functions.- 3.4-Discrete Distributions and Densities.- 3.5-Continuous Distributions and Densities.- 3.6-Mixed Distributions and Densities.- 3.7-Further Properties and Comments.- 3.8-Bivariate Distributions.- 3.9-Bivariate Density Functions.- 3.10-Multivariate Distributions.- 3.11-Independence.- 3.12-Conditional Distributions.- Problems.- 4-Expectations and Characteristic Functions.- 4.1-Expectation.- 4.2-Moments.- 4.3-The Bienayme - Chebychev Theorem.- 4.4-The Moment Generating Function.- 4.5-The Chernoff Bound.- 4.6-The Characteristic Function.- 4.7-Covariances and Correlation Coefficients.- 4.8-Conditional Expectation.- 4.9-Least Mean-Squared Error Prediction.- Problems.- 5-The Binomial, Poisson, and Normal Distributions.- 5.1-The Binomial Distribution.- 5.2-The Poisson Distribution.- 5.3-The Normal or Gaussian Distribution.- 5.4-The Bivariate Normal Distribution.- 5.5-Rotations for Independence.- Problems.- 6-The Multivariate Normal Distribution.- 6.1-The Covariance Matrix.- 6.2-The Bivariate Normal Distribution in Matrix Form.- 6.3-The Multivariate Normal Distribution.- 6.4-Miscellaneous Properties of the Multivariate Normal Distribution.- 6.5-Linear Transformations on Normal Random Variables.- Problems.- 7-The Transformation of Random Variables.- 7.1-Discrete Random Variables.- 7.2-Continuous Random Variables; The Univariate Case.- 7.3-Continuous Random Variables; The Bivariate Case.- 7.4-Continuous Random Variables; A Special Case.- 7.5-Continuous Random Variables; The Multivariate Case.- Problems.- 8-Sequences of Random Variables.- 8.1-Convergence in the Deterministic Case.- 8.2-Convergence in Distribution.- 8.3-Convergence in Probability.- 8.4-Almost Sure Convergence.- 8.5-Convergence in r-th Mean.- 8.6-Relations Among Types of Convergence.- 8.7-Limit Theorems on Sums of Random Variables.- 8.8-The Weak Law of Large Numbers.- 8.9-The Strong Law of Large Numbers.- 8.10-The Central Limit Theorem.- Problems.- Appendices.- Appendix A - The Riemann-Stieltjes Integral.- Appendix B - The Dirac Delta Function.- Appendix C - Interchange of Order in Differentiation and Integration.- Appendix D - Some Elements of Matrix Theory.- Appendix E - The Differentiation of a Definite Integral.- Appendix F - A Monotone Non-Decreasing Function.- References.- Table I-The Unit Normal Distributions.
Series Title: Springer texts in electrical engineering.
Responsibility: John B. Thomas.


User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...


Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data

Primary Entity

<> # Introduction to probability
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "13218611" ;
    library:placeOfPublication <> ; # New York
    library:placeOfPublication <> ;
    schema:about <> ; # Probabilities
    schema:about <> ; # Wahrscheinlichkeitsrechnung
    schema:about <> ;
    schema:about <> ; # Wahrscheinlichkeitstheorie
    schema:bookFormat bgn:PrintBook ;
    schema:copyrightYear "1986" ;
    schema:creator <> ; # John Bowman Thomas
    schema:datePublished "1986" ;
    schema:exampleOfWork <> ;
    schema:genre "Einführung"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <> ; # Springer texts in electrical engineering.
    schema:isSimilarTo <> ;
    schema:name "Introduction to probability"@en ;
    schema:productID "13218611" ;
    schema:publication <> ;
    schema:publisher <> ; # Springer-Verlag
    schema:url <> ;
    schema:url <> ;
    schema:url <> ;
    schema:workExample <> ;
    schema:workExample <> ;
    umbel:isLike <> ;
    wdrs:describedby <> ;

Related Entities

<> # New York
    a schema:Place ;
    schema:name "New York" ;

<> # Springer-Verlag
    a bgn:Agent ;
    schema:name "Springer-Verlag" ;

<> # John Bowman Thomas
    a schema:Person ;
    schema:birthDate "1925" ;
    schema:deathDate "2018" ;
    schema:familyName "Thomas" ;
    schema:givenName "John Bowman" ;
    schema:givenName "John B." ;
    schema:name "John Bowman Thomas" ;

<> # Springer texts in electrical engineering.
    a bgn:PublicationSeries ;
    schema:hasPart <> ; # Introduction to probability
    schema:name "Springer texts in electrical engineering." ;
    schema:name "Springer texts in electrical engineering" ;

<> # Wahrscheinlichkeitsrechnung
    a schema:Intangible ;
    schema:name "Wahrscheinlichkeitsrechnung"@en ;

<> # Wahrscheinlichkeitstheorie
    a schema:Intangible ;
    schema:name "Wahrscheinlichkeitstheorie"@en ;

<> # Probabilities
    a schema:Intangible ;
    schema:name "Probabilities"@en ;

    a schema:ProductModel ;
    schema:isbn "0387963197" ;
    schema:isbn "9780387963198" ;

    a schema:ProductModel ;
    schema:isbn "3540963197" ;
    schema:isbn "9783540963196" ;

    a schema:CreativeWork ;
    rdfs:label "Introduction to probability." ;
    schema:description "Online version:" ;
    schema:isSimilarTo <> ; # Introduction to probability

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.