Mathematical Statistics for Economics and Business, Second Edition, provides a comprehensive introduction to the principles of mathematical statistics which underpin statistical analyses in the fields of economics, business, and econometrics. The selection of topics in this textbook is designed to provide students with a conceptual foundation that will facilitate a substantial understanding of statistical applications in these subjects. This new edition has been updated throughout and now also includes a downloadable Student Answer Manual containing detailed solutions to half of the over 300 end-of-chapter problems.
After introducing the concepts of probability, random variables, and probability density functions, the author develops the key concepts of mathematical statistics, most notably: expectation, sampling, asymptotics, and the main families of distributions. The latter half of the book is then devoted to the theories of estimation and hypothesis testing with associated examples and problems that indicate their wide applicability in economics and business. Features of the new edition include: a reorganization of topic flow and presentation to facilitate reading and understanding; inclusion of additional topics of relevance to statistics and econometric applications; a more streamlined and simple-to-understand notation for multiple integration and multiple summation over general sets or vector arguments; updated examples; new end-of-chapter problems; a solution manual for students; a comprehensive answer manual for instructors; and a theorem and definition map.
This book has evolved from numerous graduate courses in mathematical statistics and econometrics taught by the author, and will be ideal for students beginning graduate study as well as for advanced undergraduates.
Front Matter....Pages i-xxix
Elements of Probability Theory....Pages 1-44
Random Variables, Densities, and Cumulative Distribution Functions....Pages 45-109
Expectations and Moments of Random Variables....Pages 111-174
Parametric Families of Density Functions....Pages 175-229
Basic Asymptotics....Pages 231-293
Sampling, Sample Moments and Sampling Distributions....Pages 295-361
Point Estimation Theory....Pages 363-431
Point Estimation Methods....Pages 433-521
Hypothesis Testing Theory....Pages 523-607
Hypothesis Testing Methods and Confidence Regions....Pages 609-695
Back Matter....Pages 697-755