Probability and statistical inference

by Robert V. Hogg

Written by two leading statisticians, this applied introduction to the mathematics of probability and statistics emphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variation. Designed for students with a background in calculus, this book continues to reinforce basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.

 

Probability; Discrete Distributions; Continuous Distributions; Bivariate Distributions; Distributions of Functions of Random Variables; Estimation; Tests of Statistical Hypotheses; Nonparametric Methods; Bayesian Methods; Some Theory; Quality Improvement Through Statistical Methods

 

For all readers interested in mathematical statistics.

Genres: Mathematics, Textbooks, Nonfiction, Reference, Science, Academic

533 pages, Hardcover

First published January 1, 1977

Reviews

[Anna]

I'm reading the 4th edition, from 1993.

[Steve Stuart · Rating 4 out of 5]

This is a very solid textbook on probability and statistics, from the introductory level through intermediate topics, and is reasonable as a reference text as well. The text tends to be dry, rather than chatty, and the topics are developed from scratch or described with proofs, rather than simply being presented as definitions. I consider these to be positive features, in a math text. The examples don't tend to be very interesting, but there are a large number of them, which helps when using this book as a student.

I used the second edition of this book in college. Despite having a large selection of newer, more comprehensive, or more advanced books on my shelf to choose from, Hogg & Tanis is still the book I normally turn to when I need to look up a distribution or statistical test.

[Jamiu Afolabi · Rating 5 out of 5]

A self explanatory book which with a detailed analysis on probability distributions, point estimation and interval estimation techniques. Prerequisite includes understanding of Calculus

[Goo]

This was sent to me by mistake when I ordered some other statistics book.

Looks worse than the regulars (C&B, Hogg & Craig, etc.).

[Adam · Rating 5 out of 5]

The prose is clear, the examples are valuable, the development is very quick to arrive at useful results. I find it walks a very satisfying balance between theory and application, giving proofs everywhere, and only where, the value of seeing the proof outweighs the time required to understand it. It and its associated Introduction to Mathematical Statistics are classics for a good reason.

However, as a classic, it is missing some more modern topics like survival functions.

[Bill]

I think this is a great introduction to statistics. There are a lot of well-thought of books which are complete nonsense. It was refreshing to find a book which is both accessible and rigorous.

I'm actually reading the 4th edition, not the 6th. It was really cheap on Alibris, and how much does statistics change, anyway?