A Mixture of Weibull Distribution and its Inverse: Properties and Estimation
| المصدر: | المجلة العلمية لقطاع كليات التجارة |
|---|---|
| الناشر: | جامعة الأزهر - كلية التجارة |
| المؤلف الرئيسي: | Ismail , E. M. (Author) |
| مؤلفين آخرين: | Reyad, M. R. Mahmoud (Co-Author) , Khalil, F. A. (Co-Author) , El-Dessouky, E. A. (Co-Author) |
| المجلد/العدد: | ع28 |
| محكمة: | نعم |
| الدولة: |
مصر |
| التاريخ الميلادي: |
2022
|
| الشهر: | يونية |
| الصفحات: | 77 - 108 |
| DOI: |
10.21608/jsfc.2022.299851 |
| ISSN: |
2636-3674 |
| رقم MD: | 1388131 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | EcoLink |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Finite Mixture | Weibull Distribution | Inverse Weibull Distribution | Mixing Proporotion | Maximum Likelihood Estimation | Simulation Analysis | Chi-Squre | Kolmogrove-Smirnov
|
| رابط المحتوى: |
الناشر لهذه المادة لم يسمح بإتاحتها. |
| LEADER | 02922nam a22002657a 4500 | ||
|---|---|---|---|
| 001 | 2138729 | ||
| 024 | |3 10.21608/jsfc.2022.299851 | ||
| 041 | |a eng | ||
| 044 | |b مصر | ||
| 100 | |a Ismail , E. M. |e Author |9 734291 | ||
| 245 | |a A Mixture of Weibull Distribution and its Inverse: |b Properties and Estimation | ||
| 260 | |b جامعة الأزهر - كلية التجارة |c 2022 |g يونية | ||
| 300 | |a 77 - 108 | ||
| 336 | |a بحوث ومقالات |b Article | ||
| 520 | |b The methods to construct appropriate new models for lifetime data sets are very popular nowadays among the researchers of this area where existed models in the literature are unsuitable for some situations. Among these methods, mixture distributions which are useful in fitting data that is generated by a complex process. Also inverted distributions are useful in modeling data that variable is inherently the reciprocal of a known variable. The Weibull distribution, having the exponential and Rayleigh as special cases, is a very popular distribution for modeling lifetime data and for modeling phenomena with monotone failure rates. It is one of the best known distributions and has wide applications in diverse disciplines. In this paper we propose anew distribution, which is a mixture of weibull and its inverse (MWIW). The main purpose of this paper is to introduce a new mixture of weibull and its inverse distribution as a new model distribution in order to be applied efficiently in lifetime. Two cases are considered when the mixing proporotion is not related to parameter values and when it depends on parameter values. Some properties of the two models with some graphs of density, comulative, hazard and survival functions are discussed. The model parameters are estimated by the method of maximum likelihood estimation. A simulation study is carried out to illustrate the theoretical results of the maximum likelihood estimation. Finally, applications of the two mixtures are illustrated by real data set. | ||
| 653 | |a التوزيعات الإحصائية |a تحليل البيانات |a النمذجة الخطية | ||
| 692 | |b Finite Mixture |b Weibull Distribution |b Inverse Weibull Distribution |b Mixing Proporotion |b Maximum Likelihood Estimation |b Simulation Analysis |b Chi-Squre |b Kolmogrove-Smirnov | ||
| 700 | |9 653270 |a Reyad, M. R. Mahmoud |e Co-Author | ||
| 700 | |9 734302 |a Khalil, F. A. |e Co-Author | ||
| 700 | |a El-Dessouky, E. A. |e Co-Author |9 734305 | ||
| 773 | |4 الاقتصاد |4 إدارة الأعمال |6 Economics |6 Management |c 005 |e Scientific Journal of the Faculty of Commerce |f Al-Maǧallah al-ʿilmiyyaẗ li Qitāʿ Kulliyyāẗ al-tiǧāraẗ bi Ǧāmiʿaẗ al-Azhar |l 028 |m ع28 |o 0797 |s المجلة العلمية لقطاع كليات التجارة |v 000 |x 2636-3674 | ||
| 856 | |u 0797-000-028-005.pdf |n https://jsfc.journals.ekb.eg/article_299851.html | ||
| 930 | |d n |p y |q n | ||
| 995 | |a EcoLink | ||
| 999 | |c 1388131 |d 1388131 | ||
عناصر مشابهة
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MAXIMUM LIKELIHOOD ESTIMATES OF THE MIXTURE OF THE INVERSE WEIBULL (IW) DISTRIBUTION
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Estimation of Parameters for a Finite Mixture Weibull-G Distribution
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