An extended version of Birnbaum-Saunders distribution with five parameters is introduced. Theoretical aspects of five-parameter Birnbaum-Saunders distribution and the maximum likelihood estimation of parameters are presented. The reliability and applicability of the proposed distribution is evaluated using both simulation and real-world data namely bicoid gene expression profile. The findings of this research confirm that the newly proposed five-parameter Birnbaum-Saunders distribution can be utilized to describe the distribution of bicoid gene expression profile.
Keywords: Bicoid gene; Birnbaum–Saunders distribution; Gene expression profile; Maximum likelihood estimation.
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