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: Introduction to probability models
  name:
    name part: Ross, Sheldon M.
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 1993
    edition: Fifth edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xi, 556 pages) : illustrations
  abstract: Introduction to Probability Models.
  table of contents: Front Cover; Introduction to Probability Models; Copyright Page; Table of Contents; Preface; Chapter 1. Introduction to Probability Theory; 1.1. Introduction; 1.2. Sample Space and Events; 1.3. Probabilities Defined on Events; 1.4. Conditional Probabilities; 1.5. Independent Events; 1.6. Bayes' Formula; Exercises; References; Chapter 2. Random Variables; 2.1. Random Variables; 2.2. Discrete Random Variables; 2.3. Continuous Random Variables; 2.4. Expectation of a Random Variable; 2.5. Jointly Distributed Random Variables; 2.6. Moment Generating Functions; 2.7. Limit Theorems.
  table of contents: 2.8. Stochastic ProcessesExercises; References; Chapter 3. Conditional Probability and Conditional Expectation; 3.1. Introduction; 3.2. The Discrete Case; 3.3. The Continuous Case; 3.4. Computing Expectations by Conditioning; 3.5. Computing Probabilities by Conditioning; 3.6. Some Applications; Exercises; Chapter 4. Markov Chains; 4.1. Introduction; 4.2. Chapman-Kolmogorov Equations; 4.3. Classification of States; 4.4. Limiting Probabilities; 4.5. Some Applications; 4.6. Branching Processes; 4.7. Time Reversible Markov Chains; 4.8. Markov Decision Processes; Exercises; References.
  table of contents: Chapter 5. The Exponential Distribution and the Poisson Process5.1. Introduction; 5.2. The Exponential Distribution; 5.3. The Poisson Process; 5.4. Generalizations of the Poisson Process; Exercises; References; Chapter 6. Continuous-Time Markov Chains; 6.1. Introduction; 6.2. Continuous-Time Markov Chains; 6.3. Birth and Death Processes; 6.4. The Kolmogorov Differential Equations; 6.5. Limiting Probabilities; 6.6. Time Reversibility; 6.7. Uniformization; 6.8. Computing the Transition Probabilities; Exercises; References; Chapter 7. Renewal Theory and Its Applications; 7.1. Introduction.
  table of contents: 7.2. Distribution of N(t)7.3. Limit Theorems and Their Applications; 7.4. Renewal Reward Processes; 7.5. Regenerative Processes; 7.6. Semi-Markov Processes; 7.7. The Inspection Paradox; 7.8. Computing the Renewal Function; Exercises; References; Chapter 8. Queueing Theory; 8.1. Introduction; 8.2. Preliminaries; 8.3. Exponential Models; 8.4. Network of Queues; 8.5. The System M/G/1; 8.6. Variations on the M/G/1; 8.7. The Model G/M/1; 8.8. Multiserver Queues; Exercises; References; Chapter 9. Reliability Theory; 9.1. Introduction; 9.2. Structure Functions.
  table of contents: 9.3. Reliability of Systems of Independent Components9.4. Bounds on the Reliability Function; 9.5. System Life as a Function of Component Lives; 9.6. Expected System Lifetime; 9.7. Systems with Repair; Exercises; References; Chapter 10. Brownian Motion and Stationary Processes; 10.1. Brownian Motion; 10.2. Hitting Times, Maximum Variable, and the Gambler's Ruin Problem; 10.3. Variations on Brownian Motion; 10.4. Pricing Stock Options; 10.5. White Noise; 10.6. Gaussian Processes; 10.7. Stationary and Weakly Stationary Processes; 10.8. Harmonic Analysis of Weakly Stationary Processes; Exercises.
  note: Sheldon M. Ross.
  note: Includes bibliographical references and index.
  note: English.
  subject:
    topic: Probabilities
  subject:
    topic: Probability
  subject:
    topic: Models, Statistical
  subject:
    topic: Probabilités
  subject:
    topic: probability
  subject:
    topic: MATHEMATICS
    topic: Applied
  subject:
    topic: MATHEMATICS
    topic: Probability & Statistics
    topic: General
  subject:
    topic: Probabilities
  subject:
    topic: Waarschijnlijkheidstheorie
  subject:
    topic: Probabilités
  classification: QA273 .R84 1993eb
  classification: 519.2
  classification: QA 273 R826i 1993
  classification: 31.70
  classification: *60-01
  classification: 17,1
  related item:
    title info:
      title: Introduction to probability models
    name:
      name part: Ross, Sheldon M.
    origin info:
      edition: Fifth edition
    identifier: (DLC) 93009266
    identifier: (OCoLC)27381657
  identifier: 9781483276588
  identifier: 1483276589
  identifier: 0125984553
  identifier: 9780125984553
  identifier: 0125984561
  identifier: 9780125984560
  identifier: 93009266
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 141003
    record change date: 20260326210725.2
    record identifier: in00005756485
    language of cataloging:
      language term: eng