A New Generalized Family of Distributions for Lifetime Data
Journal of Modern Applied Statistical Methods • 2019
معلومات البحث
المؤلفون
Maha A. D. Aldahlan
Mohamed G. Khalil
Ahmed Z. Afify
الكلمات المفتاحية
Burr X Distribution, Generating Function, Maximum Likelihood, Order Statistic, Rényi
Entropy.
المجلة العلمية
Journal of Modern Applied Statistical Methods
الناشر
Not Available
المجلد
Not Available
العدد
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الصفحات
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publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
We introduce a new class of continuous distributions called the generalized Burr X-G family.
Some special models of the new family are provided. Some of its mathematical properties
including explicit expressions for the quantile and generating functions, ordinary and incomplete
moments, order statistics and Rényi entropy are derived. The maximum likelihood is used for
estimating the model parameters. The flexibility of the generated family is illustrated by means of
two applications to real data sets.
Some special models of the new family are provided. Some of its mathematical properties
including explicit expressions for the quantile and generating functions, ordinary and incomplete
moments, order statistics and Rényi entropy are derived. The maximum likelihood is used for
estimating the model parameters. The flexibility of the generated family is illustrated by means of
two applications to real data sets.
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