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Some Large Sample Tests For Nonnormality In The Linear Regression Model
 Journal of the American Statistical Association
, 1980
"... this article are 1. To show that, in large samples under fairly general conditions, several wellknown and easily computable 16 O Journal of the American StitisticII Assoalation March IMP, Volume 7S, Number Applications Section 17 tests for departures from nornlity may be modified for use in the c ..."
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Cited by 8 (1 self)
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this article are 1. To show that, in large samples under fairly general conditions, several wellknown and easily computable 16 O Journal of the American StitisticII Assoalation March IMP, Volume 7S, Number Applications Section 17 tests for departures from nornlity may be modified for use in the classical linear regression framework; 2. To examine the consequences of replacing with in moderate and large samples; 3. To asess the power of each test with respect to alternatives to nornlity likely to be encountered empirically; and 4. To compare power across tests
Analysis of the DCT coefficient distributions for document coding
 in Proc. Digital Photography Conf.: PICS 2003
, 2003
"... Abstract—It is known that the distribution of the discrete cosine transform (DCT) coefficients of most natural images follow a Laplacian distribution, and this knowledge has been employed to improve decoder design. However, such is not the case for text documents. In this letter, we present an anal ..."
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Abstract—It is known that the distribution of the discrete cosine transform (DCT) coefficients of most natural images follow a Laplacian distribution, and this knowledge has been employed to improve decoder design. However, such is not the case for text documents. In this letter, we present an analysis of their DCT coefficient distributions, and show that a Gaussian distribution can be a realistic model. Furthermore, we can use a generalized Gaussian model to incorporate the Laplacian distribution found for natural images. Index Terms—Discrete cosine transform (DCT), document processing, image analysis, image coding, probability statistics. I.
Fisher Information Test of Normality
, 1998
"... An extremal property of normal distributions is that they have the smallest Fisher Information for location among all distributions with the same variance. A new test of normality proposed by Terrell (1995) utilizes the above property by finding that density of maximum likelihood constrained on havi ..."
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An extremal property of normal distributions is that they have the smallest Fisher Information for location among all distributions with the same variance. A new test of normality proposed by Terrell (1995) utilizes the above property by finding that density of maximum likelihood constrained on having the expected Fisher Information under normality based on the sample variance. The test statistic is then constructed as a ratio of the resulting likelihood against that of normality. Since the asymptotic distribution of this test statistic is not available, the critical values for n = 3 to 200 have been obtained by simulation and smoothed using polynomials. An extensive power study shows that the test has superior power against distributions that are symmetric and leptokurtic (longtailed). Another advantage of the test over existing ones is the direct depiction of any deviation from normality in the form of a density estimate. This is evident when the test is applied to several real data sets. Testing of normality in residuals is also investigated. Various approaches in dealing with residuals being possibly heteroscedastic and correlated suffer from a loss of power. The approach with the fewest undesirable features is to use the Ordinary Least
Uncertain uncertainty
, 2011
"... I would like to thank Matthew Corder for his assistance and I am also grateful for helpful comments from other colleagues. The views expressed are my own and do not necessarily reflect those of the Bank of England or other members of the Monetary Policy Committee All speeches are available online at ..."
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I would like to thank Matthew Corder for his assistance and I am also grateful for helpful comments from other colleagues. The views expressed are my own and do not necessarily reflect those of the Bank of England or other members of the Monetary Policy Committee All speeches are available online at www.bankofengland.co.uk/publications/speeches