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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Book Details

Print ISBN9780135189399
eText ISBN9780135189474
PublisherPearson
Publishing Year2020
Edition10th Edition
LanguageEnglish
Pages560

In an era dominated by massive data collection and rapid technological shifts, the ability to interpret and understand numerical variation is more critical than ever before. Probability and Statistical Inference 10th Edition provides a masterful and highly accessible introduction to this vital scientific discipline, offering a clear path forward for aspiring data scientists and researchers. Designed specifically for students with a solid background in calculus, this classic textbook successfully bridges the gap between elementary mathematics and advanced statistical theory. By focusing on the inherent variability present in almost every real-world process, the authors demonstrate how statistical methods serve as indispensable tools for modern decision-making across science, business, and engineering.

The text is structured to offer a balanced and comprehensive exploration of both theoretical foundations and practical applications. Robert V. Hogg, Elliot A. Tanis, and Dale L. Zimmerman guide readers through a logical progression of ideas, beginning with fundamental probability principles before transitioning into discrete and continuous distributions. This edition of Probability and Statistical Inference 10th Edition maintains a rigorous yet intuitive approach, ensuring that complex concepts such as bivariate distributions, marginal functions, and the central limit theorem are thoroughly understood. The authors successfully demystify mathematical statistics by grounding abstract theories in concrete, relatable scenarios, helping students build a deep conceptual framework that will serve them throughout their academic and professional careers.

This textbook is ideal for a comprehensive two-semester course sequence but can easily be tailored for a single-semester curriculum depending on the needs of the program. It is highly recommended for actuarial science students preparing for professional exams, as well as anyone seeking a robust foundation in data analysis. This updated volume features dozens of new examples and exercises, an expanded focus on the hypergeometric distribution, and new sections covering hypothesis testing for variances. Instructors and students alike will find that the Probability and Statistical Inference 10th Edition PDF provides a flexible, carbon-neutral digital learning experience complete with built-in study tools, offline access, and interactive search capabilities to enhance academic success.

Table of Contents

  1. Chapter 1: Probability

    • Properties of Probability
    • Methods of Enumeration
    • Conditional Probability
    • Independent Events
    • Bayes' Theorem
  2. Chapter 2: Discrete Distributions

    • Random Variables of the Discrete Type
    • Mathematical Expectation
    • Special Mathematical Expectations
    • The Binomial Distribution
    • The Hypergeometric Distribution
    • The Negative Binomial Distribution
    • The Poisson Distribution
  3. Chapter 3: Continuous Distributions

    • Random Variables of the Continuous Type
    • The Exponential, Gamma, and Chi-Square Distributions
    • The Normal Distribution
    • Additional Models
  4. Chapter 4: Bivariate Distributions

    • Bivariate Distributions of the Discrete Type
    • The Correlation Coefficient
    • Conditional Distributions
    • Bivariate Distributions of the Continuous Type
    • The Bivariate Normal Distribution
  5. Chapter 5: Distributions of Functions of Random Variables

    • Functions of One Random Variable
    • Transformations of Two Random Variables
    • Several Independent Random Variables
    • The Moment-Generating Function Technique
    • Random Functions Associated with Normal Distributions
    • The Central Limit Theorem
    • Approximations for Discrete Distributions
    • Chebyshev's Inequality and Convergence in Probability
    • Limiting Moment-Generating Functions
  6. Chapter 6: Point Estimation

    • Descriptive Statistics
    • Exploratory Data Analysis
    • Order Statistics
    • Maximum Likelihood and Method of Moments Estimation
    • A Simple Regression Problem
    • Asymptotic Distributions of Maximum Likelihood Estimators
    • Sufficient Statistics
    • Bayesian Estimation
  7. Chapter 7: Interval Estimation

    • Confidence Intervals for Means
    • Confidence Intervals for the Difference of Two Means
    • Confidence Intervals for Proportions
    • Sample Size
    • Distribution-Free Confidence Intervals for Percentiles
    • More Regression
    • Resampling Methods
  8. Chapter 8: Tests of Statistical Hypotheses

    • Tests About One Mean
    • Tests of the Equality of Two Means
    • Tests for Variances
    • Tests About Proportions
    • Some Distribution-Free Tests
    • Power of a Statistical Test
    • Best Critical Regions
    • Likelihood Ratio Tests
  9. Chapter 9: More Tests

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

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