Abstract
In this article, we introduce a new flexible distribution which generalizes the normal and the two-piece normal distribution. Some properties of the introduced distribution are derived, such are the cumulative distribution and the probability density function, moments, skewness, and kurtosis. The unknown parameters are estimated by the maximum likelihood method. Illustrative example of applicability and flexibility of the introduced distribution is given. At the end, we compare the flexibility of the introduced distribution and various distributions using skewness and kurtosis.
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