Originally published in 1986, this book consists of 100 problems in probability and statistics, together with solutions and, most importantly, extensive notes on the solutions. The level of sophistication of the problems is similar to that encountered in many introductory courses in probability and statistics. At this level, straightforward solutions to the problems are of limited value unless they contain informed discussion of the choice of technique used, and possible alternatives. The solutions in the book are therefore elaborated with extensive notes which add value to the solutions themselves. The notes enable the reader to discover relationships between various statistical techniques, and provide the confidence needed to tackle new problems.
Sample Chapter(s)
Probability and Random Variables (2,112 KB)
Contents:
- Probability and Random Variables:
- Probability
- Random Variables
- Probability Distributions:
- Discrete Distributions
- Continuous Distributions
- Simulating Random Variables
- Data Summarisation and Goodness-of-Fit:
- Data Summarisation
- Goodness-of-Fit
- Inference:
- One Sample — Normal Distribution
- Two Samples — Normal Distribution
- Binomial and Poisson Distributions
- Other Problems
- Analysis of Structured Data:
- Regression and Correlation
- Analysis of Variance
- Contingency Tables
- Time Series
Readership: Students on introductory courses in probability and statistics, with a background in calculus.
“What is most valuable about this book is the very high quality of the model solutions … It is a problem book for those teaching or learning a first course in mathematical statistics … This one is outstandingly good and highly recommended.”
Goeff Cohen
University of Edinburgh, Scotland
“The authors of this useful book take the view that the ability to solve practical problems is fundamental to an understanding of statistical techniques … The book is designed to be read alongside a standard text. I expect it is likely to be most useful to the teacher or to the able student forced to work largely alone.”
David Green
“This book not only provides a solution to each problem set but gives notes about that solution. These notes should help students to understand the reasoning behind the techniques used, so giving them confidence to deal with problems of a similar nature … This book should prove a valuable addition to the library of students and teachers of statistics.”
M J G Ansell
Hatfield Polytechnic
“The book consists of a series of examples, each followed by one or more alternative solutions and accompanying notes. The solutions themselves are useful models. The notes go one stage further and explain why particular techniques were chosen to solve each problem. This approach may help to overcome the common difficulty of deciding which method to choose when answering examination questions … The book is easy to read and suitable for individual study.”
Richard J Field
“These notes provide fascinating insights into the process that experienced statisticians go through in order to solve a problem. Students (and maybe some instructors) will benefit greatly from going through the solutions and the notes in this book.”
Gudmund R Iversen
Swarthmore College
“The approach of the authors is to improve a student's understanding of statistics, and to help students appreciate which techniques might be appropriate for any problem.”
Zentralblatt MATH