Jenny Baglivo
Integrating computers into mathematical statistics courses allows students to simulate experiments and visualize their results, handle larger data sets, analyze data more quickly, and compare the results of classical methods of data analysis with those using alternative techniques. This text presents a concise introduction to the concepts of probability theory and mathematical statistics. The accompanying in-class and take-home computer laboratory activities reinforce the techniques introduced in the text and are accessible to students with little or no experience with Mathematica. These laboratory materials present applications in a variety of real-world settings, with data from epidemiology, environmental sciences, medicine, social sciences, physical sciences, manufacturing, engineering, marketing, and sports.
Mathematica Laboratories for Mathematical Statistics: Emphasizing Simulation and Computer Intensive Methods includes parametric, nonparametric, permutation, bootstrap and diagnostic methods. Chapters on permutation and bootstrap techniques follow the formal inference chapters and precede the chapters on intermediate-level topics. Permutation and bootstrap methods are discussed side by side with classical methods in the later chapters.
Audience
This book is written with both the instructor and the student in mind. The order of topics and the level of presentation are similar to those of other mathematical statistics books. Thus, instructors will find it easy to incorporate this approach in their classroom. The accompanying student CD of laboratory activities, written as Mathematica notebooks, contains text, data, computations, and graphics. Mathematica notebooks are particularly well-suited for presenting concepts and problems, and for writing solutions. Over half of the 238 laboratory problems use real-world data, many from recent research reports or on-going research. Prerequisites include multivariable calculus and familiarity with the basics of set theory, vectors, matrices, and problem-solving using a computer.
Contents
Preface: Chapter 1: Introductory Probability Concepts; Chapter 2: Discrete Probability Distributions; Chapter 3: Continuous Probability Distributions; Chapter 4: Mathematical Expectation; Chapter 5: Limit Theorems; Chapter 6: Transition to Statistics; Chapter 7: Estimation Theory; Chapter 8: Hypothesis Testing Theory; Chapter 9: Order Statistics and Quantiles; Chapter 10: Two Sample Analysis; Chapter 11: Permutation Analysis; Chapter 12: Bootstrap Analysis; Chapter 13: Multiple Sample Analysis; Chapter 14: Linear Least Squares Analysis; Chapter 15: Contingency Table Analysis; Bibliography; Index
See Sample Chapter:
http://www.siam.org/books/textbooks/SA14sample.pdf
See Sample Lab from CD:
http://www.siam.org/books/textbooks/sa14sample2.pdf
Read the review of this book that appeared in SIAM Review.
An Instructor’s CD-ROM (with complete solutions) is available upon adoption of text.
To request an examination copy or desk copy of this book, please use our online request form at www.siam.org/catalog/adopt.php.
2004 / xx + 260 pages / Softcover / ISBN-13: 978-0-898715-70-5 / ISBN-10: 0-89871-566-0 /
List Price $75.00 / ASA/SIAM Member Price $52.50 / Includes Student CD-ROM / Order Code SA14
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