On Properties of the Bimodal Skew-Normal Distribution and an Application
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The main object of this paper is to develop an alternative construction for the bimodal skew-normal distribution. The construction is based upon a study of the mixture of skew-normal distributions. We study some basic properties of this family, its stochastic representations and expressions for its moments. Parameters are estimated using the maximum likelihood estimation method. A simulation study is carried out to observe the performance of the maximum likelihood estimators. Finally, we compare the efficiency of the new distribution with other distributions in the literature using a real data set. The study shows that the proposed approach presents satisfactory results.
2021 ◽
Vol 27
(127)
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pp. 253-264
2021 ◽
Vol 20
(4)
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pp. 481-517
Maximum likelihood estimation for the parameters of skew normal distribution using genetic algorithm
2018 ◽
Vol 38
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pp. 127-138
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2019 ◽
Vol 8
(5)
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pp. 34
2020 ◽
Vol 9
(1)
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pp. 61-81
2020 ◽
Vol 4
(2)
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pp. 327-340