Probability and Statistical Inference, 10th edition

  • Robert V. Hogg, 
  • Elliot A. Tanis, 
  • Dale Zimmerman

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Probability and Statistical Inference provides you with an applied introduction to probability and statistics. Written by veteran statisticians, the text reinforces basic mathematical concepts with numerous real-world examples and applications that illustrate the relevance of key concepts.

Published by Pearson (July 14th 2021) - Copyright © 2020

ISBN-13: 9780137538461

Subject: Advanced Statistics

Category: Mathematical Statistics

Table of contents

1. Probability

  • 1.1 Properties of Probability
  • 1.2 Methods of Enumeration
  • 1.3 Conditional Probability
  • 1.4 Independent Events
  • 1.5 Bayes’ Theorem

2. Discrete Distributions

  • 2.1 Random Variables of the Discrete Type
  • 2.2 Mathematical Expectation
  • 2.3 Special Mathematical Expectations
  • 2.4 The Binomial Distribution
  • 2.5 The Hypergeometric Distribution
  • 2.6 The Negative Binomial Distribution
  • 2.7 The Poisson Distribution

3. Continuous Distributions

  • 3.1 Random Variables of the Continuous Type
  • 3.2 The Exponential, Gamma, and Chi-Square Distributions
  • 3.3 The Normal Distribution
  • 3.4 Additional Models

4. Bivariate Distributions

  • 4.1 Bivariate Distributions of the Discrete Type
  • 4.2 The Correlation Coefficient
  • 4.3 Conditional Distributions
  • 4.4 Bivariate Distributions of the Continuous Type
  • 4.5 The Bivariate Normal Distribution

5. Distributions of Functions of Random Variables

  • 5.1 Functions of One Random Variable
  • 5.2 Transformations of Two Random Variables
  • 5.3 Several Independent Random Variables
  • 5.4 The Moment-Generating Function Technique
  • 5.5 Random Functions Associated with Normal Distributions
  • 5.6 The Central Limit Theorem
  • 5.7 Approximations for Discrete Distributions
  • 5.8 Chebyshev’s Inequality and Convergence in Probability
  • 5.9 Limiting Moment-Generating Functions

6. Point Estimation

  • 6.1 Descriptive Statistics
  • 6.2 Exploratory Data Analysis
  • 6.3 Order Statistics
  • 6.4 Maximum Likelihood and Method of Moments Estimation
  • 6.5 A Simple Regression Problem
  • 6.6 Asymptotic Distributions of Maximum Likelihood Estimators
  • 6.7 Sufficient Statistics
  • 6.8 Bayesian Estimation

7. Interval Estimation

  • 7.1 Confidence Intervals for Means
  • 7.2 Confidence Intervals for the Difference of Two Means
  • 7.3 Confidence Intervals for Proportions
  • 7.4 Sample Size
  • 7.5 Distribution-Free Confidence Intervals for Percentiles
  • 7.6 More Regression
  • 7.7 Resampling Methods

8. Tests of Statistical Hypotheses

  • 8.1 Tests About One Mean
  • 8.2 Tests of the Equality of Two Means
  • 8.3 Tests for Variances
  • 8.4 Tests About Proportions
  • 8.5 Some Distribution-Free Tests
  • 8.6 Power of a Statistical Test
  • 8.7 Best Critical Regions
  • 8.8 Likelihood Ratio Tests

9. More Tests

  • 9.1 Chi-Square Goodness-of-Fit Tests
  • 9.2 Contingency Tables
  • 9.3 One-Factor Analysis of Variance
  • 9.4 Two-Way Analysis of Variance
  • 9.5 General Factorial and 2k Factorial Designs
  • 9.6 Tests Concerning Regression and Correlation
  • 9.7 Statistical Quality Control


A. References

B. Tables

C. Answers to Odd-Numbered Exercises

D. Review of Selected Mathematical Techniques

  • D.1 Algebra of Sets
  • D.2 Mathematical Tools for the Hypergeometric Distribution
  • D.3 Limits
  • D.4 Infinite Series
  • D.5 Integration
  • D.6 Multivariate Calculus


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