rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Fundamentals of applied probability and random processes
  name:
    name part: Ibe, Oliver C. (Oliver Chukwudi)
    name part: 1947-
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: cau
    date issued: 2014
    edition: 2nd edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: This revised edition is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to real-world problems, and introduce the basics of statistics. Its clear writing style and homework problems make it ideal for the classroom or for self-study. The book: demonstrates concepts with more than 100 illustrations, including 2 dozen new drawings; expands readers' understanding of disruptive statistics in a new chapter (chapter 8); provides a new chapter on Introduction to Random Processes with 14 new illustrations and tables explaining key concepts; includes two chapters devoted to the two branches of statistics, namely descriptive statistics (chapter 8) and inferential (or inductive) statistics (chapter 9). --
  table of contents: 1.1.Introduction -- 1.2.Sample Space and Events -- 1.3.Definitions of Probability -- 1.3.1.Axiomatic Definition -- 1.3.2.Relative-Frequency Definition -- 1.3.3.Classical Definition -- 1.4.Applications of Probability -- 1.4.1.Information Theory -- 1.4.2.Reliability Engineering -- 1.4.3.Quality Control -- 1.4.4.Channel Noise -- 1.4.5.System Simulation -- 1.5.Elementary Set Theory -- 1.5.1.Set Operations -- 1.5.2.Number of Subsets of a Set -- 1.5.3.Venn Diagram -- 1.5.4.Set Identities -- 1.5.5.Duality Principle -- 1.6.Properties of Probability -- 1.7.Conditional Probability -- 1.7.1.Total Probability and the Bayes' Theorem -- 1.7.2.Tree Diagram -- 1.8.Independent Events -- 1.9.Combined Experiments -- 1.10.Basic Combinatorial Analysis -- 1.10.1.Permutations -- 1.10.2.Circular Arrangement -- 1.10.3.Applications of Permutations in Probability -- 1.10.4.Combinations -- 1.10.5.The Binomial Theorem -- 1.10.6.Stirling's Formula -- 1.10.7.The Fundamental Counting Rule -- 1.10.8.Applications of Combinations in Probability -- 1.11.Reliability Applications -- 1.12.Chapter Summary -- 1.13.Problems -- Section 1.2 Sample Space and Events -- Section 1.3 Definitions of Probability -- Section 1.5 Elementary Set Theory -- Section 1.6 Properties of Probability -- Section 1.7 Conditional Probability -- Section 1.8 Independent Events -- Section 1.10 Combinatorial Analysis -- Section 1.11 Reliability Applications -- 2.1.Introduction -- 2.2.Definition of a Random Variable -- 2.3.Events Defined by Random Variables -- 2.4.Distribution Functions -- 2.5.Discrete Random Variables -- 2.5.1.Obtaining the PMF from the CDF -- 2.6.Continuous Random Variables -- 2.7.Chapter Summary -- 2.8.Problems -- Section 2.4 Distribution Functions -- Section 2.5 Discrete Random Variables -- Section 2.6 Continuous Random Variables -- 3.1.Introduction -- 3.2.Expectation -- 3.3.Expectation of Nonnegative Random Variables -- 3.4.Moments of Random Variables and the Variance -- 3.5.Conditional Expectations -- 3.6.The Mar…
  table of contents: 10.5.1.Strict-Sense Stationary Processes -- 10.5.2.Wide-Sense Stationary Processes -- 10.6.Ergodic Random Processes -- 10.7.Power Spectral Density -- 10.7.1.White Noise -- 10.8.Discrete-Time Random Processes -- 10.8.1.Mean, Autocorrelation Function and Autocovariance Function -- 10.8.2.Power Spectral Density of a Random Sequence -- 10.8.3.Sampling of Continuous-Time Processes -- 10.9.Chapter Summary -- 10.10.Problems -- Section 10.3 Mean, Autocorrelation Function and Autocovariance Function -- Section 10.4 Crosscorrelation and Crosscovariance Functions -- Section 10.5 Wide-Sense Stationary Processes -- Section 10.6 Ergodic Random Processes -- Section 10.7 Power Spectral Density -- Section 10.8 Discrete-Time Random Processes -- 11.1.Introduction -- 11.2.Overview of Linear Systems with Deterministic Inputs -- 11.3.Linear Systems with Continuous-Time Random Inputs -- 11.4.Linear Systems with Discrete-Time Random Inputs -- 11.5.Autoregressive Moving Average Process -- 11.5.1.Moving Average Process -- 11.5.2.Autoregressive Process -- 11.5.3.ARMA Process -- 11.6.Chapter Summary -- 11.7.Problems -- Section 11.2 Linear Systems with Deterministic Input -- Section 11.3 Linear Systems with Continuous Random Input -- Section 11.4 Linear Systems with Discrete Random Input -- Section 11.5 Autoregressive Moving Average Processes -- 12.1.Introduction -- 12.2.The Bernoulli Process -- 12.3.Random Walk Process -- 12.3.1.Symmetric Simple Random Walk
  note: Oliver Ibe.
  note: Includes bibliographical references and index.
  subject:
    topic: Probabilities
  subject:
    topic: Probability
  subject:
    topic: Probabilités
  subject:
    topic: probability
  subject:
    topic: MATHEMATICS
    topic: Applied
  subject:
    topic: MATHEMATICS
    topic: Probability & Statistics
    topic: General
  subject:
    topic: Probabilities
  classification: QA273 .I24 2014eb
  classification: 519.2
  related item:
    title info:
      title: Fundamentals of applied probability and random processes
    name:
      name part: Ibe, Oliver C. (Oliver Chukwudi), 1947-
    origin info:
      edition: Second edition
    identifier: (DLC) 2014005103
    identifier: (OCoLC)881385909
  identifier: 9780128010358
  identifier: 0128010355
  identifier: 9780128008522
  identifier: 0128008520
  identifier: B34C4CB9-D68A-445C-9164-38E811CBAB08 OverDrive, Inc.
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 140626
    record change date: 20260326204920.3
    record identifier: in00005754736
    language of cataloging:
      language term: eng