1st Edition

# Exercises and Solutions in Statistical Theory

388 Pages
by Chapman & Hall

388 Pages
by Chapman & Hall

388 Pages
by Chapman & Hall

Also available as eBook on:

Exercises and Solutions in Statistical Theory helps students and scientists obtain an in-depth understanding of statistical theory by working on and reviewing solutions to interesting and challenging exercises of practical importance. Unlike similar books, this text incorporates many exercises that apply to real-world settings and provides much more thorough solutions.

The exercises and selected detailed solutions cover from basic probability theory through to the theory of statistical inference. Many of the exercises deal with important, real-life scenarios in areas such as medicine, epidemiology, actuarial science, social science, engineering, physics, chemistry, biology, environmental health, and sports. Several exercises illustrate the utility of study design strategies, sampling from finite populations, maximum likelihood, asymptotic theory, latent class analysis, conditional inference, regression analysis, generalized linear models, Bayesian analysis, and other statistical topics. The book also contains references to published books and articles that offer more information about the statistical concepts.

Designed as a supplement for advanced undergraduate and graduate courses, this text is a valuable source of classroom examples, homework problems, and examination questions. It is also useful for scientists interested in enhancing or refreshing their theoretical statistical skills. The book improves readersâ€™ comprehension of the principles of statistical theory and helps them see how the principles can be used in practice. By mastering the theoretical statistical strategies necessary to solve the exercises, readers will be prepared to successfully study even higher-level statistical theory.

Concepts and Notation
Basic Probability Theory
Univariate Distribution Theory
Multivariate Distribution Theory
Estimation Theory
Hypothesis Testing Theory

Basic Probability Theory
Exercises
Solutions to Odd-Numbered Exercises

Univariate Distribution Theory
Exercises
Solutions to Odd-Numbered Exercises

Multivariate Distribution Theory
Exercises
Solutions to Odd-Numbered Exercises

Estimation Theory
Exercises
Solutions to Odd-Numbered Exercises

Hypothesis Testing Theory
Exercises
Solutions to Odd-Numbered Exercises

### Biography

Lawrence L. Kupper, Brian. H Neelon, Sean M. O'Brien

"I have found the book useful in preparing homework and exam questions in my current course, and I could see students benefiting from such a trove of problems with solutions."
â€”The American Statistician, February 2015