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Titlebook: Large Sample Techniques for Statistics; Jiming Jiang Textbook 20101st edition Springer Science+Business Media, LLC 2010 Approximations.Asy

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书目名称Large Sample Techniques for Statistics
编辑Jiming Jiang
视频video
概述Focuses on thinking skills rather than just what formulae to use.Provides motivations, and intuition, rather than detailed proofs.Begins with very simple and basic techniques, and connects theory and
丛书名称Springer Texts in Statistics
图书封面Titlebook: Large Sample Techniques for Statistics;  Jiming Jiang Textbook 20101st edition Springer Science+Business Media, LLC 2010 Approximations.Asy
描述In a way, the world is made up of approximations, and surely there is no exception in the world of statistics. In fact, approximations, especially large sample approximations, are very important parts of both theoretical and - plied statistics.TheGaussiandistribution,alsoknownasthe normaldistri- tion,is merelyonesuchexample,dueto thewell-knowncentrallimittheorem. Large-sample techniques provide solutions to many practical problems; they simplify our solutions to di?cult, sometimes intractable problems; they j- tify our solutions; and they guide us to directions of improvements. On the other hand, just because large-sample approximations are used everywhere, and every day, it does not guarantee that they are used properly, and, when the techniques are misused, there may be serious consequences. 2 Example 1 (Asymptotic? distribution). Likelihood ratio test (LRT) is one of the fundamental techniques in statistics. It is well known that, in the 2 “standard” situation, the asymptotic null distribution of the LRT is?,with the degreesoffreedomequaltothe di?erencebetweenthedimensions,de?ned as the numbers of free parameters, of the two nested models being compared (e.g., Rice 1995, pp. 310
出版日期Textbook 20101st edition
关键词Approximations; Asymptotic Theory; Large Sample Theory; Limit Theorems; Parametric statistics; Random var
版次1
doihttps://doi.org/10.1007/978-1-4419-6827-2
isbn_softcover978-1-4614-2623-3
isbn_ebook978-1-4419-6827-2Series ISSN 1431-875X Series E-ISSN 2197-4136
issn_series 1431-875X
copyrightSpringer Science+Business Media, LLC 2010
The information of publication is updating

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Small-Area Estimation,ation counts and disease mapping research has been done by the epidemiologists and the demographers. The history of small-area statistics goes back to 11th- century England and 17th- century Canada. See Brackstone (1987) and Marshall (1991).
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1431-875X h very simple and basic techniques, and connects theory and In a way, the world is made up of approximations, and surely there is no exception in the world of statistics. In fact, approximations, especially large sample approximations, are very important parts of both theoretical and - plied statist
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