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Probability and Statistical Inference
   Hogg, Robert V. (Author) Tanis, Elliot A. (Author)
Probability and Statistical Inference
Title Details
ISBN-10 0131464132
ISBN-13 9780131464131
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Introduction or Preface
We are pleased with the reception that was given to the first six editions ofProbability and Statistical Inference.The seventh edition is still designed for use in a course having from three to six semester hours of credit. No previous study of probability or statistics is assumed, and a standard course in calculus provides an adequate mathematical background. Certain sections have been starred and they are not needed in subsequent sections. This, however, does not mean that these starred sections are unimportant, and we hope many of you will study them. We still view this book as the basis of a junior or senior level course in the mathematics of probability and statistics that is taught by many departments of mathematics and/or statistics. In particular, the first five chapters provide a substantial one-semester course in probability and probability distributions. While many statisticians are teaching a course at this level by minimizing probability and concentrating on statistics, we have found that those studying statistics, actuarial science, electrical engineering, economics, finance, genetics, and so on need probability as much as statistics. Thus we choose to place about equal emphasis on these two topics. Chapters 6-10 consist of the second semester of a two-semester sequence as they cover topics in statistics and statistical inference. We have discovered that a fairly good four-semester-hour course can be constructed by an instructor by selecting topics from the first five chapters and Chapters 6 and 8. We have tried to make the seventh edition more "user friendly"; yet we do want to reinforce certain basic concepts of mathematics, particularly calculus. To help the student with methods of algebra of sets and calculus, we include aReview of Selected Mathematical Techniquesin Appendix A. This review includes a method that makes integration by parts easier. Also, we derive the importantRule of 72,which provides an approximation to the number of years necessary for money to double. ENHANCEMENTS IN THIS EDITION There is better and more logical organization, resulting in a major chapter on the normal distribution. A new section gives a brief history of probability, indicating how the normal distribution was discovered. More real examples and exercises concerning probability were added that will appeal to students of actuarial science, finance, economics, and so on. There is a short but excellent Bayesian chapter, including real example and an indication of how Bayesians prove theorems by establishing "Dutch books." In the section on bootstrapping there is an explanation of the origin of this word. There are examples of Simpson's paradox. Some different statistical techniques, including ordered restricted estimates, have been added. There is somewhat more emphasis on the importance of sufficient statistics, noting that such statistics, if they exist, are always used in statistical inferences. Tests of hypotheses and confidence intervals are tied together. An explanation of the Six Sigma program is in the Epilogue. The figures are improved with the use of color. The CD-ROM includes not only all of the data sets in different formats, but also many more new applications of Minitab andMaple. Illustrations ofMapleas a computer algebra system are given in the text and on the CD-ROM. IMPORTANT POINTS IN THIS EDITION Chapter 1 is a basic chapter on probability after considering how discrete data can arise. This is followed by a chapter on discrete probability distributions. Chapter 3 starts with continuous type data, introducing stem-and-leaf diagrams, order statistics, and box plots and includes many standard continuous distribution. Chapter 4 introduces multivariate distributions, which are considered with more emphasis than in past editions, inclu
Main Description
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 variability. Designed for students with a background in calculus, it reinforces basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.
Review Quote
"Generally, I think the pedagogy is excellent, providing an almost holistic introduction to statistics, both its mathematical and applications sides. Elements of the subject are introduced in increasing layers of complexity, at a rate that is challenging yet measured. Masterfully done. My overall impression of the book is quite favorable and actually I am considering this text for my next cycle of classes. Strengths: excellent use of examples to illustrate concepts; strong exercise selections; the discussions are generally clear, animated, and focused with the main drive of the text in mind. All the necessary topics central to modern statistics are introduced. The level of the text is quite good for an undergraduate introductory course. Many rather difficult ideas are presented simply, but effectively enough to prepare students for later topics and courses. And the text really bares the soul of statistics. The text motivates the theory by keeping it connected to real-world applications." David F. Snyder,Texas State University "Probability and Statistical Inference is a great text to use for a one-year course, where the students are just becoming mathematically prepared. The authors write with great care and clearly develop and motivate the subject. This edition also contains a chapter on Bayesian methods. Chapter 7 is an interesting and modern treatment of the subjecta subject that has included some controversy. Although I am a probabilist, I am certainly pleased to see this treatment in an undergraduate text. Bayesian methods have long needed suitable treatment at the undergraduate level. It provides an up-to-date and complete treatment of mathematics of probability and statistics. This edition also includes many new examples, applications, and exercises. Each of these has improved in an already outstanding text." Randall Swift,California State Polytechnic University, Pomona "This latest version of Hogg and Tanis contains many more realistic data scenarios that rely much less on coin tossing and dice and card examples. Students will likely better understand the material if they can relate to the examples. The authors strike a good balance between readability and rigor. The material is accurately presented and theorems are accurate. I am glad to see section 6.13 'Resampling Methods' induded. The 'bootstrap' has been around now for 20 years but many mathematical statistics books still neglect it or relegate it to the exercises. This is a good indication that the text is up-to-date." Paul Joyce,University of Idaho "This is a good, solid, calculus-based introduction to probability and statistics at the sophomore-junior level. I have used this textbook twice for such a course, and would like to use it again in the future." Ching-Yuan Chiang,James Madison University "The examples in the book are very clear and easy to follow. My students would benefit from this book more than our current textbook." Mark Ghamsary,Loma Linda University
Product Details
Edition : 7th 2005 (Revised) Product Dimensions: 7.75" wide x 9.25" long x 1.25" tall
Publisher: Prentice Hall PTR Weight: 3.08 lbs.
Binding: CD-ROM 
Number of Pages 752
Language: English
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