A New Generalization of Power Rayleigh Distribution: Properties and Estimation Based on Type II Censoring

نوع المستند : المقالة الأصلية

المؤلفون

1 Statistics Department Faculty of Commerce.AL-Azhar University.Girls'Branch.Cairo

2 Statistics Department, Faculty of Commerce, AL-Azhar University, Girls’ Branch – Cairo

3 Faculty of Commerce AL-Azhar University Girls’ Branch – Cairo

المستخلص

      The aim of this study is to generalize the power Rayleigh distribution using the quadratic rank transmutation map to obtain the transmuted power Rayleigh distribution. Some important statistical and reliability properties of the transmuted power Rayleigh distribution such as hazard rate, moments, quantiles, order statistics and some sub-model distributions are obtained. The maximum likelihood method based on Type II censoring is applied to estimate the unknown parameters, reliability and hazard rate functions of the transmuted power Rayleigh distribution. In addition, a simulation study is performed to illustrate the theoretical results and the precision of the maximum likelihood estimates. Finally, two applications are applied to demonstrate the importance and flexibility of the new model. 

الكلمات الرئيسية

المجلة العلمية للدراسات والبحوث المالية والتجارية
المجلد 6، العدد 1 - الرقم المسلسل للعدد 1
المجلد السادس؛ العدد الأول؛ الجزء الأول؛ يناير 2025
يناير 2025
الصفحة 625-654

ملفات

شارك

إرسال الاستشهاد إلى

الإحصائيات