A Symmetric Component Alpha Normal Slash Distribution: Properties and Inferences

A Symmetric Component Alpha Normal Slash Distribution: Properties and Inferences

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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 tenga air-tech regular symmetric component alpha normal random variable with respect to the power of a uniform random variable.The proposed distribution is more velgen vff 12 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.