Isbn: 9781461426233 - large sample techniques for statistics (springer texts in statistics) (4 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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). This might lead to a wrong impression that the 2 asymptotic (null) distribution of the LRT is always . A similar mistake 2 might take place when dealing with Pearson's -test-the asymptotic distri- 2 2 bution of Pearson's -test is not always (e.g., Moore 1978).…

Taschenbuch. Zustand: Neu. Large Sample Techniques for Statistics | Jiming Jiang | Taschenbuch | xviii | Englisch | 2012 | Springer Nature B.V. | EAN 9781461426233 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

Zustand: New. Focuses on thinking skills rather than just what formulae to useProvides motivations, and intuition, rather than detailed proofsBegins with very simple and basic techniques, and connects theory and applications in entertaining waysIn a way, the .