A text that stresses the general concepts of the theory of statistics Theoretical Statistics provides a systematic statement of the theory of statistics, emphasizing general concepts rather than mathematical rigor. Chapters 1 through 3 provide an overview of statistics and discuss some of the basic philosophical ideas and problems behind statistical procedures. Chapters 4 and 5 cover hypothesis testing with simple and null hypotheses, respectively. Subsequent chapters discuss non-parametrics, interval estimation, point estimation, asymptotics, Bayesian procedure, and deviation theory. Student familiarity with standard statistical techniques is assumed.
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...the discussion is accessible and thought-provoking. The notes provide good entries to the literature on each chapter's topics as well as a brief historical survey of the topics...The exercises are challenging. Also of special interest are the numerous examples throughout the text.
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29 of 29 people found the following review helpful:
5.0 out of 5 stars
best of its time, the late 1970s,
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This review is from: Theoretical Statistics (Paperback)
In the late 1970s when I was a graduate student at Stanford this was one of the best texts available on the theory of statistics at the first year graduate school level. It comes with a wealth of problems, many of which are very thought-provoking. There is a companion solutions manual that I recommend for students doing self-study. Cox and Hinkley are both excellent lecturers writers and brilliant statisticians.
This is still a very useful book although most of Bayesian inference including MCMC methodology and all of resampling theory is missing since the book was published in 1974.
11 of 15 people found the following review helpful:
4.0 out of 5 stars
Maximum Likelihood,
By A Customer
This review is from: Theoretical Statistics (Paperback)
I couldn't put it down! One of the most thrilling books available in maximum likelihood theory and methodology. While some examples are a little obtuse, on the whole Cox and Hinckley present the topic of the likelihood in a logical, coherent manner.
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Inside This Book
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First Sentence:
Statistical methods of analysis are intended to aid the interpretation of data that are subject to appreciable haphazard variability. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
sup lik, uniformly most powerful similar test, likelihood ratio critical region, weak repeated sampling principle, strong likelihood principle, powerful similar regions, weak likelihood principle, enlarged experiment, best critical region, parameters being unknown, pure significance test, composite null hypotheses, regret function, hypothetical repetitions, minimax rule, maximal invariant statistic, ancillary statistic, locally most powerful test, null hypothesis distribution, minimal sufficient statistic, most powerful invariant test, limiting normal distribution, most powerful unbiased test, conditionality principle, betting behaviour Key Phrases - Capitalized Phrases (CAPs): (learn more)
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Statistical methods of analysis are intended to aid the interpretation of data that are subject to appreciable haphazard variability. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
sup lik, uniformly most powerful similar test, likelihood ratio critical region, weak repeated sampling principle, strong likelihood principle, powerful similar regions, weak likelihood principle, enlarged experiment, best critical region, parameters being unknown, pure significance test, composite null hypotheses, regret function, hypothetical repetitions, minimax rule, maximal invariant statistic, ancillary statistic, locally most powerful test, null hypothesis distribution, minimal sufficient statistic, most powerful invariant test, limiting normal distribution, most powerful unbiased test, conditionality principle, betting behaviour Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 1
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100
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- Philosophy Science and Method by Sidney Morgenbesser in Back Matter
- Statistics: An Appraisal by Herbert T. David on 5 pages
- Statistics for the 21st Century: Methodologies for Applications of the Future (Statistics: A Series of Textbooks and Monographs) by Gabor Szekely on page 82, and page 364
- Robust Regression (Statistics: A Series of Textbooks and Monographs) by Kenneth D. Lawrence on page 56, and page 179
- Introduction to Computer-Intensive Methods of Data Analysis in Biology by Derek A. Roff on page 38, and Back Matter
- Handbook of Defeasible Reasoning and Uncertainty Management (Handbook of Defeasible Reasoning and Uncertainty Management Systems) by Dov M. Gabbay on page 366
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