Introduction to Statistical Theory

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When I was a graduate student at Stanford in the mid 1970s I took my first course in stochastic processes out of the companion book on stochastic processes by these authors. The three volumes "Introduction to Probability", "Introduction to Statistics" and "Introduction to Stochastic Processes" were produced at about the same time with the intention of covering the first three graduate courses on these subjects in a statistics porgram. I had different texts for my probabilty and statistics courses but these three texts were excellent and very similar in style. They are all clear and concise and could be best studied in the order given above.

To prepare for my first semester teaching statistics, I asked several colleagues for advice and references. Texts by Brunk and DeGroot were very useful and helped me organize and clarify for my students the material in our "statistics for engineers" text. Recently I discovered the three wonderful volumes by Hoel, Port, and Stone. In particular I found nice pictures to illustrate and explain the central limit theorem. There are also many exercises and worked examples. The next statistics course I teach will be greatly improved thanks to these books and the work that went into writing them.