Exercises in Statistical Reasoning [Paperback]

1. Probability.?2. Likelihood Estimation.?3. Exponential Family.?4. Hypothesis Testing & Decision Theory.?5. Linear Models & Regression.?6. Asymptotics.?7. Time Series.?8. Markov Chain Monte Carlo.?

Exercises designed to strengthen creative problem-solving skills, designed to encourage readers to understand the key points of a problem while seeking knowledge, rather than separating out these two activities. To complete the exercises, readers may need to reference the literature, which is how research-based knowledge is often acquired.

Students cultivate learning techniques in school that emphasize procedural problem solving and rote memorization. This leads to efficient problem solving for familiar problems. However, conducting novel research is an exercise in creative problem solving that is at odds with a procedural approach; it requires thinking deeply about the topic and crafting solutions to unique problems. It is not easy to move from a topic-based, carefully curated curriculum to the daunting world of independent research, where solutions are unknown and may not even exist. In developing this book, we considered our experiences as graduate students that faced this transition.

Exercises in Statistical Reasoning is a collection of exercises designed to strengthen creative problem-solving skills. The exercises are designed to encourage readers to understand the key points of a problem while seeking knowledge, rather than separating out these two activities. To complete the exercises, readers may need to reference the literature, which is how research-based knowledge is often acquired.

Features of the Exercises

• The exercises are self-contained, though slC_