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Probability and Statistical Inference cover

Probability and Statistical Inference

by Robert V. Hogg, Elliot A. Tanis, Dale L. Zimmerman

10th Edition

Publisher: Pearson

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MathematicsProbability & Statistics

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Book Details

Print ISBN9780135189399
eText ISBN9780135189474
PublisherPearson
Publishing Year2020
Edition10th Edition
LanguageEnglish
Pages560

The textbook Probability and Statistical Inference, 10th Edition, delivers a structured introduction to foundational probability theory and statistical concepts. Authored by Robert V. Hogg, Elliot A. Tanis, and Dale L. Zimmerman, this text demonstrates how mathematical models explain variation in real-world processes. It provides students with a clear framework for understanding randomness and observational data.

The material opens with core probability definitions before moving into systematic treatments of discrete distributions and continuous distributions. The conceptual progression expands into bivariate distributions and distributions of functions of random variables, explaining how operations on random variables modify probability densities and expectations.

Designed primarily for a comprehensive two-semester sequence, the textbook offers a flexible structure that faculty can adapt for a single-semester course. This 10th Edition provides a balanced resource for students beginning their formal study of probability theory and statistical inference.

Table of Contents

  1. Chapter 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. Chapter 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. Chapter 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. Chapter 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. Chapter 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. Chapter 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. Chapter 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. Chapter 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. Chapter 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

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▶Research Sources (13)
  • ISBN 9780135189474 - Probability and Statistical Inference 10th Edition ...
  • Probability and Statistical Inference: University Of Miami
  • https://redshelf.com/app/ecom/book/2144515/probabi...
  • Probability and Statistical Inference (Hardcover) by Elliot Tanis et al.
  • Probability and Statistical Inference
  • Probability and Statistical Inference - Robert V. Hogg, Elliot A. Tanis
  • probability and statistical inference
  • Probability and Statistical Inference
  • Probability and Statistical Inference, 10th Edition, Global Edition
  • Probability and Statistical Inference - 10th Edition - Solutions and Answers
  • Probability and Statistical Inference (10th edition)
  • Probability and Statistical Inference 10th edition Hogg/Tanis/ Zimmerman
  • Probability and Statistical Inference (10th Ed.) - Hogg, Tanis & Zimmerman ...

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