Probability An Introduction with Statistical Applications.

Detalles Bibliográficos
Autor principal: Kinney, John J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2014.
Colección:New York Academy of Sciences Ser.
Temas:
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Title Page
  • Copyright
  • Dedication
  • Preface for the First Edition
  • Historical Note
  • About the Text
  • For the Instructor
  • Preface for the Second Edition
  • Chapter 1: Sample Spaces and Probability
  • 1.1 Discrete Sample Spaces
  • 1.2 Events
  • Axioms of Probability
  • 1.3 Probability Theorems
  • 1.4 Conditional Probability and Independence
  • 1.5 Some Examples
  • 1.6 Reliability of Systems
  • 1.7 Counting Techniques
  • 1.8 Chapter Review
  • 1.9 PROBLEMS FOR REVIEW
  • Chapter 2: Discrete Random Variables and Probability Distributions
  • 2.1 Random Variables
  • 2.2 Distribution Functions
  • 2.3 Expected Values of Discrete Random Variables
  • 2.4 Binomial Distribution
  • 2.5 A Recursion
  • 2.6 Some Statistical Considerations
  • 2.7 Hypothesis Testing: Binomial Random Variables
  • 2.8 Distribution of A Sample Proportion
  • 2.9 Geometric and Negative Binomial Distributions
  • 2.10 The Hypergeometric Random Variable: Acceptance Sampling
  • 2.11 Acceptance Sampling (Continued)
  • 2.12 The Hypergeometric Random Variable: Further Examples
  • 2.13 The Poisson Random Variable
  • 2.14 The Poisson Process
  • Chapter Review
  • Problems for Review
  • Chapter 3: Continuous Random Variables and Probability Distributions
  • 3.1 Introduction
  • 3.2 Uniform Distribution
  • 3.3 Exponential Distribution
  • 3.4 Reliability
  • 3.5 Normal Distribution
  • 3.6 Normal Approximation to the Binomial Distribution
  • 3.7 Gamma and Chi-Squared Distributions
  • 3.8 Weibull Distribution
  • Chapter Review
  • Problems For Review
  • Chapter 4: Functions of Random Variables
  • Generating Functions
  • Statistical Applications
  • 4.1 Introduction
  • 4.2 Some Examples of Functions of Random Variables
  • 4.3 Probability Distributions of Functions of Random Variables
  • 4.4 Sums of Random Variables I
  • 4.5 Generating Functions
  • 4.6 Some Properties of Generating Functions
  • 4.7 Probability Generating Functions for Some Specific Probability Distributions
  • 4.8 Moment Generating Functions
  • 4.9 Properties of Moment Generating Functions
  • 4.10 Sums of Random Variables-II
  • 4.11 The Central Limit Theorem
  • 4.12 Weak Law of Large Numbers
  • 4.13 Sampling Distribution of the Sample Variance
  • 4.14 Hypothesis Tests and Confidence Intervals for a Single Mean
  • 4.15 Hypothesis Tests on Two Samples
  • 4.16 Least Squares Linear Regression
  • 4.17 Quality Control Chart for
  • Chapter Review
  • Problems for Review
  • Chapter 5: Bivariate Probability Distributions
  • 5.1 Introduction
  • 5.2 Joint and Marginal Distributions
  • 5.3 Conditional Distributions and Densities
  • 5.4 Expected Values and the Correlation Coefficient
  • 5.5 Conditional Expectations
  • 5.6 Bivariate Normal Densities
  • 5.7 Functions of Random Variables
  • CHAPTER REVIEW
  • PROBLEMS FOR REVIEW
  • Chapter 6: Recursions and Markov Chains
  • 6.1 Introduction
  • 6.2 Some Recursions and their Solutions
  • 6.3 Random Walk and Ruin

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