HOW TO USE THIS BOOK:
A first course. In a course that assumes at most a modest background in probability, the core of the offering would include Chapters 1–5 and 7. These cover the basics of probability and discrete and continuous random variables. As the chapter dependencies graph on the preceding page indicates, there is considerable flexibility in the selection and ordering of additional material as the instructor sees fit
A second course. In a course that assumes a solid background in the basics of probability and discrete and continuous random variables, the material in Chapters 1–5 and 7 can be reviewed quickly. In such a review, the instructor may want include sections and problems marked with a , as these indicate more challenging material that might not be appropriate in a first course.
Following the review, the core of the offering would include Chapters 8, 9, 10 (Sections 10.1–10.6), and Chapter 11. Additional material from Chapters 12–15 can be included to meet course goals and objectives.
Level of course offerings. In any course offering, the level can be adapted to the background of the class by omitting or including the more advanced sections, remarks, and problems that are marked with a * .
In addition, discussions of a highly technical nature are placed in a Notes section at the end of the chapter in which they occur. Pointers to these discussions are indicated by boldface numerical superscripts in the text. These notes can be omitted or included as the instructor sees fit
The writing of this book has been greatly improved by the suggestions of many people. At the University of Wisconsin–Madison, the sharp eyes of the students in my classes on probability and random processes, my research students, and my postdocs have helped me fix countless typos and improve explanations of several topics.
My colleagues here have been generous with their comments and suggestions. Professor Rajeev Agrawal, now with Motorola, convinced me to treat discrete random variables before continuous random variables.
Discussions with Professor Bob Barmish on robustness of rational transfer functions led to Problems 38–40 in Chapter 5. I am especially grateful to Professors Jim Bucklew, Yu Hen Hu, and Akbar Sayeed, who taught from early, unpolished versions of the manuscript. Colleagues at other universities and students in their classes have also been generous with their support.
I thank Professors Toby Berger, Edwin Chong, and Dave Neuhoff, who have used recent manuscripts in teaching classes on probability and random processes and have provided me with detailed reviews. Special thanks go to Professor Tom Denney for his multiple careful reviews of each chapter. Since writing is a solitary process, I am grateful to be surrounded by many supportive family members.
I especially thank my wife and son for their endless patience and faith in me and this book, and I thank my parents for their encouragement and help when I was preoccupied with writing.
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