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Keywords
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Skew Distribution, Balakrishnan Alpha Skew Laplace Distribution, Bimodal Distribution, Likelihood RatioTest, AIC, BIC
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Abstract
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In this paper, a new form of alpha-beta-skew-Laplace distribution is proposed under Balakrishnan [3] mechanismand investigated some of its related distributions. The moments, distributional properties and some extensions of theproposed distribution have also studied. Finally, the suitability and the appropriateness of the proposed distributionhas tested by conducting data fitting experiment and comparing the values of Akaike Information Criterion (AIC) andBayesian Information Criterion (BIC) with the values of some other related distributions. Likelihood Ratio test is used fordiscriminating between the nested models.
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