Published March 5, 2021 | Version v1
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THE WEIBULL GENERALIZED FLEXIBLE WEIBULL EXTENSION DISTRIBUTION

  • 1. Mansoura University

Description

This paper introduces a new four parameters model called the Weibull Generalized Flexible Weibull extension (WGFWE) distribution which exhibits bathtub-shaped hazard rate.Some of it's statistical properties are obtained including ordinary and incomplete moments, quantile and generating functions, reliability and order statistics.The method of maximum likelihood is used for estimating the model parameters and the observed Fisher's information matrix is derived.We illustrate the usefulness of the proposed model by applications to real data.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

تقدم هذه الورقة نموذجًا جديدًا لأربعة معلمات يسمى توزيع Weibull Generalized Flexible Weibull extension (WGFWE) الذي يعرض معدل مخاطر على شكل حوض استحمام. يتم الحصول على بعض خصائصه الإحصائية بما في ذلك اللحظات العادية وغير المكتملة، والوظائف الكمية والتوليدية، والموثوقية وإحصاءات الترتيب. يتم استخدام طريقة أقصى احتمال لتقدير معلمات النموذج ومصفوفة معلومات فيشر المرصودة. نوضح فائدة النموذج المقترح من خلال التطبيقات على البيانات الحقيقية.

Translated Description (English)

This paper introduces a new four parameters model called the Weibull Generalized Flexible Weibull extension (WGFWE) distribution which exhibits bathtub-shaped hazard rate.Some of it's statistical properties are obtained including ordinary and incomplete moments, quantile and generating functions, reliability and order statistics.The method of maximum likelihood is used for estimating the model parameters and the observed Fisher's information matrix is derived.We illustrate the usefulness of the proposed model by applications to real data.

Translated Description (French)

This paper introduces a new four parameters model called the Weibull Generalized Flexible Weibull extension (WGFWE) distribution which exhibits bathtub-shaped hazard rate.Some of it' s statistical properties are obtained including ordinary and incomplete moments, quantile and generating functions, reliability and order statistics.The method of maximum likelihood is used for estimating the model parameters and the observed Fisher' s information matrix is derived.We illustre the usefulness of the proposed model by applications to real data.

Translated Description (Spanish)

This paper introduces a new four parameters model called the Weibull Generalized Flexible Weibull extension (WGFWE) distribution which exhibits bathtub-shaped hazard rate.Some of it 's statistical properties are obtained including ordinary and incomplete moments, quantile and generating functions, reliability and order statistics.The method of maximum likelihood is used for estimating the model parameters and the observed Fisher' s information matrix is derived.We illustrate the usefulness of the proposed model by applications to real data.

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Additional details

Additional titles

Translated title (Arabic)
توزيع تمديد WEIBULL المرن المعمم Weibull
Translated title (English)
THE WEIBULL GENERALIZED FLEXIBLE WEIBULL EXTENSION DISTRIBUTION
Translated title (French)
THE WEIBULL GENERALIZED FLEXIBLE WEIBULL EXTENSION DISTRIBUTION
Translated title (Spanish)
THE WEIBULL GENERALIZED FLEXIBLE WEIBULL EXTENSION DISTRIBUTION

Identifiers

Other
https://openalex.org/W2566628193
DOI
10.6339/jds.201607_14(3).0004

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Egypt

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