Analyzing near-normal data using a new class of skew distributions
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Date
2009
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Maltepe Üniversitesi
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CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Abstract
A family of distributions, which was first introduced by OHagan and Leonard in 1976 for Bayesian analysis of normal means and was later investigated in detail by Azzalini in 1985 and 1986, is modified leading to a new class of asymmetric distributions. A new score test is derived for detecting non-normality within the new class of asymmetric distributions. Then, the new score test is applied on two examples of real data sets within the new class of asymmetric distributions to detect non-normality. Maximum likelihood estimators are used to fit the data with a skew distribution and compared to studies in which researchers used the normal distribution.
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International Conference of Mathematical Sciences
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Citation
Elsalloukh, H. (2009). Analyzing near-normal data using a new class of skew distributions. Maltepe Üniversitesi. s. 193.
