Far East Journal of Theoretical Statistics
Volume 18, Issue 2, Pages 145 - 160
(March 2006)
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STATISTICAL PROPERTIES AND A LIKELIHOOD RATIO TEST FOR A DISTORTED NORMAL MODEL
Jie Chen (U. S. A.), John T. Chen (U. S. A.) and Arjun K. Gupta (U. S. A.)
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Abstract: This paper discusses a stochastic representation, the moment
generating function, and a likelihood ratio test for a distribution family that
extends the skew normal model by embodying a distortion parameter. An
application of the new test in interpreting the distribution of microarray gene
expression data on blood stem cells is included for illustration purpose. |
Keywords and phrases: skew normal models, distorted normal distribution, moment
generating function, likelihood ratio test, affymetrix data. |
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