The Topp-Leone Ailamujia Distribution: Properties & Applications | ||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||
| Volume 28, Issue 1, June 2022, Pages 134-157 PDF (433.41 K) | ||
| Document Type: المقالة الأصلية | ||
| DOI: 10.21608/jsfc.2022.299798 | ||
| Author | ||
| Karema Ahmed ELsayed* | ||
| Department of Statistics, Faculty of Commerce Al-Azhar University, Egypt, Princess Noura bint Abdurrahman University, Saudi Arabia | ||
| Abstract | ||
| في هذه الورقة البحثية تم اقتراح ودراسة توزيع Topp Leone-Ailamujia كامتداد جديد لتوزيع Ailamujia وقدم تم اشتقاقه باستخدام عائلة توب لين. يتميز التوزيع الجديد بأنه أكثر مرونة من التوزيع الأصلي، تم دراسة العديد من الخصائص الرياضية لنموذج المقترح كذلك تم دراسة بعض خصائص الموثوقية. قمنا باستخدام طريقة الأماكن الأعظم لتقدير معالم التوزيع الجديد. كما تم استخدام أسلوب محاكاة Mont Carlo لدراسة سلوك المعالم المقدرة، أخيراً تم استخدام عينة من البيانات الحقيقة وذلك لمقارنة التوزيع الجديد مع بعض توزيعات الحياة الكلاسيكية وقد أثبت التوزيع الجديد المرونة على نمذجة بيانات الحياة أفضل من التوزيعات المستخدمة في المقارنة. Abstract The Topp-Leone Ailamujia (TL-A) distribution is constructed as a new two-parameter lifetime model. The proposed model's hazard rate function can be a bathtub or a reversed J-shaped. A variety of statistical qualities and reliability features of the TL-A distribution have been investigated, including the moments, the moment generating function, incomplete moments, mean deviation, and the curves of Bonferroni and Lorenz. The functions of mean residual life and mean inactive time are also taken into account. The maximum likelihood procedure is highlighted for estimating the model parameters. To check the behaviour of the estimates, Monte Carlo simulations are being performed. Last, the novel model's efficiency is tested with a set of real data. | ||
| Keywords | ||
| الكلمات المفتاحية: توزيع Burr–Hatke; دالة معدل الخطر; العزوم; تحليل البواقى; تقدير الامكان الاعظم; محاكاة Mont Carlo. Keywords: Burr–Hatke distribution; Hazard Rate Function; Moments; Residual Analysis; Maximum Likelihood Estimation; Monte Carlo Simulation | ||
| References | ||
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