A Symmetric Component Alpha Normal Slash Distribution: Properties and Inferences

Abstract

In this paper, we introduce a new class of symmetric bimodal distribution. We define the distribution by means of a stochastic representation as the mixture of a symmetric component alpha normal random variable with respect to the power of a uniform random variable. The proposed distribution is more flexible in terms of its kurtosis than the slashed normal distribution. Properties involving moments and moment generating function are studied. The proposed distribution is illustrated with a real application by maximum likelihood procedure.

Keywords

• Alpha Normal distribution
• Kurtosis
• Skewness
• Slash distribution
• Symmetric Component