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Kendall's Advanced Theory of Statistics: Volume 1: Distribution Theory Hardcover – April 20, 2009

ISBN-13: 978-0340614303 ISBN-10: 0340614307 Edition: 6th

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Product Details

  • Series: Kendall's Advanced Theory of Statistics (Book 1)
  • Hardcover: 700 pages
  • Publisher: Wiley; 6 edition (April 20, 2009)
  • Language: English
  • ISBN-10: 0340614307
  • ISBN-13: 978-0340614303
  • Product Dimensions: 7.1 x 2 x 9.9 inches
  • Shipping Weight: 3.5 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #3,311,363 in Books (See Top 100 in Books)

Editorial Reviews

Review

'As a comprehensive resource, ... it is unsurpassed.' -- International Statistics Review 'The general authority of this work, together with its lasting value as a reference source, make it the Bible which no statistician should be without.' -- The Statistician 'Will occupy a central place in the statistical literature.' -- Nature --This text refers to an out of print or unavailable edition of this title.

From the Back Cover

This major revision contains a largely new chapter 7 providing an extensive discussion of the bivariate and multivariate versions of the standard distributions and families. Chapter 16 has been enlarged to cover mulitvariate sampling theory, an updated version of material previously found in the old Volume 3. The previous chapters 7 and 8 have been condensed into a single chapter providing an introduction to statistical inference. Elsewhere, major updates include new material on skewness and kurtosis, hazard rate distributions, the bootstrap, the evaluation of the multivariate normal integral and ratios of quadratic forms. This new edition includes over 200 new references, 40 new exercises and 20 further examples in the main text. In addition, all the text examples have been given titles and these are listed at the front of the book for easier reference.

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Customer Reviews

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9 of 12 people found the following review helpful By Ulfilas on September 28, 2010
Format: Hardcover
As a grad student, this 472 page first volume of Kendell and Stuart was the book I relied on in order to learn how to calculate the unbiased estimator of a population of statistical data. In elementary texts on statistics and data reduction you are given an inkling of this problem with regard to calculating a quantity such as the mean of a finite distribution. A real distribution differs from an ideal distribution in that its number of elements is finite rather than infinite. In order to compensate for the fact that the real distribution contains as few as N elements, the sum of a given value (e.g. position) for each element is divided by N-1 (instead of N for an ideal or infinite distribution) in order to better estimate the mean. In order to properly compensate for the finite number of elements of a real distribution, however, one needs to calculate the unbiased estimator of that distribution. The books teaches the reader the complex techniques, concepts, and statistical and populations parameters that are used in compensating for the finite nature of real data.

The more general focus of this book is that of distribution theory, a discipline dedicated to describing the statistical distribution of the values associated with the members of any group of individuals or events, be they atoms, workers in a given industry, deaths due to smallpox, or pencils in a can on your desk. The concept of population (sometimes called a parent population) is defined as an potentially uncountable or infinite set of such events or individuals, while statistics correspond to the finite set of events or individuals that correspond to actual data.
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1 of 1 people found the following review helpful By Terence Mills on September 4, 2013
Format: Hardcover
Many years ago, a statistician advised me that, as a statistician, I should have a copy of Kendall and Stuart on my bookshelves. So, I bought Volumes 1-3 of the third edition. It has been a very good investment. I'd like to sit down and read all three volumes. As the theory of statistics has developed, so has Kendall and Stuart's work. More recent editions have been developed by other authors - now the work is almost too large. It's a reliable source of theoretical ideas, written well by experts, with excellent bibliography. If I want to understand a theoretical concept in statistics, I often start with Kendall and Stuart. You won't find much advice on practical aspects of applied statistics, such as computer software. Reading Kendall and Stuart requires a strong background in mathematics because it does deal with "advanced" ideas as the title suggests. It is an expensive work; so you might check it out through a library and look through it before you decide to buy it.
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By Jim X. on July 4, 2014
Format: Hardcover Verified Purchase
A+++
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By Gary Bowers on November 12, 2014
Format: Hardcover Verified Purchase
If you are a graduate student in Statistics you will have been told to buy this set. Ignore this advice at your own peril. These three volumes cover all of the basic theory that you need to know prior to writing your thesis.
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