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Large Sample Techniques for Statistics (Paperback, 2010 ed.)
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Large Sample Techniques for Statistics (Paperback, 2010 ed.)
Series: Springer Texts in Statistics
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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).
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Springer Texts in Statistics |
Release date: |
September 2012 |
First published: |
2010 |
Authors: |
Jiming Jiang
|
Dimensions: |
235 x 155 x 32mm (L x W x T) |
Format: |
Paperback
|
Pages: |
610 |
Edition: |
2010 ed. |
ISBN-13: |
978-1-4614-2623-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
1-4614-2623-5 |
Barcode: |
9781461426233 |
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