Kumaraswamy Muth Distribution: Properties and Applications | ||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||
| Volume 29, Issue 1, January 2023, Pages 107-124 PDF (233.53 K) | ||
| Document Type: المقالة الأصلية | ||
| DOI: 10.21608/jsfc.2023.367843 | ||
| Authors | ||
| Mahmoud Ali Selim; Tamer Hassan Mohammed Ali; Mohamed Abdelkader | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Muth distribution, maximum likelihood estimation; moment generating function; hazard rate; Kumaraswamy distribution function; order statistics and quantile function | ||
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