We presented a new three-parameter distribution known as the Kumaraswamy Muth distribution (KMD) in this study. It extends the Muth distribution, a continuous random variable widely used in reliability theory. The KMD distribution and its mathematical properties are examined, including the derivation of the quantile function, probability density and distribution functions, moments, generating function, and order statistics. Model parameters are estimated using the maximum likelihood method, and practical applications are utilized to illustrate the versatility of the KMD distribution.
Selim, Mahmoud Ali, Ali, Tamer Hassan Mohammed, & Abdelkader, Mohamed. (2023). Kumaraswamy Muth Distribution: Properties and Applications. المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 29(1), 107-124. doi: 10.21608/jsfc.2023.367843
MLA
Mahmoud Ali Selim; Tamer Hassan Mohammed Ali; Mohamed Abdelkader. "Kumaraswamy Muth Distribution: Properties and Applications", المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 29, 1, 2023, 107-124. doi: 10.21608/jsfc.2023.367843
HARVARD
Selim, Mahmoud Ali, Ali, Tamer Hassan Mohammed, Abdelkader, Mohamed. (2023). 'Kumaraswamy Muth Distribution: Properties and Applications', المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 29(1), pp. 107-124. doi: 10.21608/jsfc.2023.367843
VANCOUVER
Selim, Mahmoud Ali, Ali, Tamer Hassan Mohammed, Abdelkader, Mohamed. Kumaraswamy Muth Distribution: Properties and Applications. المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 2023; 29(1): 107-124. doi: 10.21608/jsfc.2023.367843
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