On the Mixture of Normal and Half-Normal Distributions

In this research, we studied the mixture of normal and half-normal distributions and introduced some properties for this mixture. In particular, we derived the mean, median, and mode of the mixture of normal and half-normal distributions. We also focused on exploring the Bayesian estimation of param...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022-06, Vol.2022, p.1-9
Main Authors: Alruwaili, Bader, Alharbi, Randa, Hafez, E. H., Riad, Fathy H.
Format: Article
Language:English
Subjects:
Algorithms
Mixtures
Normal distribution
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Summary:In this research, we studied the mixture of normal and half-normal distributions and introduced some properties for this mixture. In particular, we derived the mean, median, and mode of the mixture of normal and half-normal distributions. We also focused on exploring the Bayesian estimation of parameters of the mixture of normal and half-normal distributions by using different methods and then, using type-I censored sample units, presented a simulation study on the mixture of normal and half-normal distributions.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/3755431