Exercises and solutions in statistical theory (Q2871235)

A book like this is always useful for anybody studying, learning or applying statistics. The authors have collected a large number of exercises. These are diverse and cover the main statistical concepts. However, the emphasis is on how to apply this knowledge when dealing with real-life phenomena, with illustrations from the area of biostatistics and health sciences.NEWLINENEWLINE The book starts with a description of theoretical notions from probability, univariate and multivariate distributions and statistical inference, estimation and hypotheses testing.NEWLINENEWLINE The essential part of the book are the exercises given topic by topic. Each group of exercises is followed immediately by detailed solutions of the odd-numbered exercises. At the end of the book we find a list of references and an index.NEWLINENEWLINE There are reasons to tell good words about this book. It will be useful for those who study and who teach statistics. Applied statisticians can also benefit from the book.NEWLINENEWLINE However, some critical comments can be made about the introductory notes. It is more than strange to see old fashioned notation, terms and names. Today, besides these authors, hardly anybody is writing `pr' for probability; any of \(P\), P or \({\mathbf P}\) would be good. It is disturbing to see inaccuracies, incorrectness and incompleteness when writing about random events, random variables and their expectations.NEWLINENEWLINE Also, the authors missed the opportunity to write at all about the two fundamental laws, the law of large numbers (LLN) and the central limit theorem (CLT). These laws can be clearly described in the introductory notes, and later be used explicitly in the solutions of the exercises, in particular to relate the LLN to the consistency of estimators, and the CLT to building confidence intervals.