Lifetime distributions transformation: On the DUS-exponentiated gamma distribution with application | ||
| مجلة مركز صالح كامل للإقتصاد الإسلامى بجامعة الأزهر | ||
| Volume 71, Issue 71, January 2023, Pages 3-32 PDF (1.46 M) | ||
| Document Type: أبحاث علمية | ||
| DOI: 10.21608/skjaz.2023.455910 | ||
| Author | ||
| Nadia Mohamed Sarhan | ||
| Department of Statistics - Faculty of Commerce - Al-Azhar University -Quantitative Analysis - College of Business Administration – King Saud University | ||
| Abstract | ||
| Abstract Recent research has increasingly concentrated on the transformation of lifetime distributions employing the Dinesh–Umesh–Sanjay (DUS) technique. This study presents an innovative model that is based on the exponentiation of the DUS transformation, resulting in a distribution derived from the exponentiated gamma (EG) distribution. We conducted a rigorous examination of the statistical properties of the DUS-EG distribution. Utilizing the maximum likelihood estimation approach, we estimated the model parameters and performed a simulation study to evaluate the efficacy of the estimators. The proposed model was validated through a comprehensive analysis of empirical data. | ||
| Keywords | ||
| Keywords: DUS transformation; exponentiated gamma distribution; Moments; Residual analysis; Entropy; Maximum likelihood estimation; Monte-Carlo simulation | ||
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