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Aspects of Statistical Inference (Wiley Series in Probability and Statistics) [Hardcover]

A. H. Welsh (Author)
3.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

October 10, 1996 0471115916 978-0471115915 1
Relevant, concrete, and thorough--the essential data-based text on statistical inference

The ability to formulate abstract concepts and draw conclusions from data is fundamental to mastering statistics. Aspects of Statistical Inference equips advanced undergraduate and graduate students with a comprehensive grounding in statistical inference, including nonstandard topics such as robustness, randomization, and finite population inference.

A. H. Welsh goes beyond the standard texts and expertly synthesizes broad, critical theory with concrete data and relevant topics. The text follows a historical framework, uses real-data sets and statistical graphics, and treats multiparameter problems, yet is ultimately about the concepts themselves.

Written with clarity and depth, Aspects of Statistical Inference:
* Provides a theoretical and historical grounding in statistical inference that considers Bayesian, fiducial, likelihood, and frequentist approaches
* Illustrates methods with real-data sets on diabetic retinopathy, the pharmacological effects of caffeine, stellar velocity, and industrial experiments
* Considers multiparameter problems
* Develops large sample approximations and shows how to use them
* Presents the philosophy and application of robustness theory
* Highlights the central role of randomization in statistics
* Uses simple proofs to illuminate foundational concepts
* Contains an appendix of useful facts concerning expansions, matrices, integrals, and distribution theory


Here is the ultimate data-based text for comparing and presenting the latest approaches to statistical inference.


Editorial Reviews

Review

"...provides an introduction to the central ideas and methods of statistical inference..." (Quarterly of Applied Mathematics, Vol. LIX, No. 2, June 2001)

From the Publisher

Welsh goes beyond the typical theoretical presentation of the subject by using authentic data to elucidate the topic. This unique approach makes the classical material more interesting and the inclusion of large sample theory makes the abstract material more relevant and concrete. The author's goal is to provide students with practical tools for inference along with a structure for thinking about it. Statistical graphics supplement the text.

Product Details

  • Hardcover: 480 pages
  • Publisher: Wiley-Interscience; 1 edition (October 10, 1996)
  • Language: English
  • ISBN-10: 0471115916
  • ISBN-13: 978-0471115915
  • Product Dimensions: 9.6 x 6.5 x 1.1 inches
  • Shipping Weight: 1.7 pounds (View shipping rates and policies)
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #4,280,492 in Books (See Top 100 in Books)

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2 of 2 people found the following review helpful:
3.0 out of 5 stars Requires a great deal of background; not a mathematical book but difficult to follow the mathematics, January 11, 2007
This review is from: Aspects of Statistical Inference (Wiley Series in Probability and Statistics) (Hardcover)
This book is very data-oriented and very application-oriented. It requires a great deal of background, and although the prose is clear and easy to read, the mathematics can be extraordinarily difficult to get through. The emphasis is always on academic rigour: this book explores the practical and philosophical questions about how to put statistical theory to use in areas of application. The book does not emphasize theory, but rather, assumes that the student already understands the theory inside and out.

I very strongly emphasize that the background requirements necessary to understand this book are great. I would recommend that students be very comfortable with probability theory, mathematical statistics, linear algebra, and have at least one course in abstract math and at least one course in some sort of applied math, before attempting to use this book. Although this book certainly does not focus on mathematics, the mathematics used in this book are raw and ugly. When equations appear, they can be very complex.

The mathematical aspects of statistical inference are simply not developed in this book. Theorems are stated and not proven. There is a brief appendix, with a long list of mathematical "facts", all without proof or explanation.

I'm not quite sure what the authors were thinking when they wrote this book, but it does not stand on its own. I think the authors would have done well to either provide more discussion of the mathematics, or to simplify the mathematics used--either choice would make the book more self-contained. In some respects, this book is complemented by the widely used Casella and Berger (which I think has the exact opposite flaws as this book--it focuses exclusively on the theory, at the expense of practical considerations and applications).
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Inside This Book (learn more)
First Sentence:
Statistical inference is concerned with using data to answer substantive questions. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
stellar velocity data, pressure vessel data, steel plate data, log weight loss, biased relevant subset, alpha particle data, median failure time, corrosion resistance data, caffeine experiment, gross error sensitivity, caffeine data, repeated sampling properties, fiducial distribution, modified profile likelihood, randomization distribution, argon treatment, randomization model, fiducial theory, sharp hypotheses, distributional robustness, intermediate stars, gamma model, saddlepoint approximation, bootstrap distribution, frequentist inference
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gaussian Quantiles, Huber M-estimator, Huber's M-estimators, Use Laplace, James Madison
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