The Kumaraswamy Generalized Half-Normal Distribution for Skewed Positive Data

For the first time, we propose and study the Kumaraswamy generalized half-normal distribution for modeling skewed positive data. The half-normal and generalized half-normal (Cooray and Ananda, 2008) distributions are special cases of the new model. Various of its structural properties are derived, including explicit expressions for the density function, moments, generating and quantile functions, mean deviations and moments of the order statistics. We investigate maximum likelihood estimation of the parameters and derive the expected information matrix. The proposed model is modified to open the possibility that long-term survivors may be presented in the data. Its applicability is illustrated by means of four real data sets.

並列關鍵字

Expected information ； generalized half-normal distribution ； half-normal distribution ； hazard rate function ； Kumaraswamy distribution ； maximum likelihood estimation ； mean deviation

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