1. A New Weighted Skew Normal Model.
- Author
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Naghibi, Forough, Reza Alavi, Sayed Mohammad, and Chinipardaz, Rahim
- Subjects
MAXIMUM likelihood statistics ,PARAMETER estimation ,SKEWNESS (Probability theory) - Abstract
Weighted distribution is a valuable method for constructing flexible models and analyzing data sets. In this paper, a new weighted distribution of skew-normal is introduced with four parameters. The proposed model is a generalized version of several distributions, such as normal, bimodal normal, skew-normal, and skewed bimodal normal-normal. This weighted model is form-invariant under the proposed weight function. The basic characteristics of the model are expressed. A method has been used to generate data from the model. The maximum likelihood estimations of parameters are given and evaluated using a simulation study. The model is fitted to the three real data sets. The advantage of the proposed model has been shown on the rival distributions using appropriate criteria. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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