Exercises in Statistical Reasoning
  1. 256 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

About this book

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 several build upon concepts from previous problems.
  • Each exercise opens with a brief introduction that emphasizes the relevance of the content. Then, the problem statement is presented as a series of intermediate questions.
  • For each exercise, we suggest one possible solution, though many may exist.
  • Following each solution, we discuss the historical background of the content and points of interest.
  • For many exercises, a brief demonstration is provided that illustrates relevant concepts.

There is an abundance of high-quality textbooks that cover a vast range of statistical topics. However, there is also a lack of texts that focus on the development of problem-solving techniques that are required for conducting novel statistical research. We believe that this book helps fill the gap. Any reader familiar with graduate-level classical and Bayesian statistics may use this book. The goal is to provide a resource that such students can use to ease their transition to conducting novel research.

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Yes, you can access Exercises in Statistical Reasoning by Michael R. Schwob,Yunshan Duan,Beatrice Cantoni,Bernardo Flores-Lopez,Stephen G. Walker in PDF and/or ePUB format. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2025
eBook ISBN
9781040331798
Edition
0

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. Preface
  8. 1 Probability
  9. 2 Likelihood Estimation
  10. 3 Exponential Family
  11. 4 Hypothesis Testing & Decision Theory
  12. 5 Linear Models & Regression
  13. 6 Asymptotics
  14. 7 Time Series
  15. 8 Markov Chain Monte Carlo
  16. Notation
  17. Bibliography
  18. Index