Characterization of Power Function Distribution through Expectation of Function of Order Statistics
نویسندگان
چکیده
منابع مشابه
Power Function Distribution Characterized by Dual Generalized Order Statistics
The dual generalized order statistics is a unified model which contains the well known decreasingly ordered random data such as (reversed ordered) order statistics and lower record values. In the present paper, some characterization results on the power function distribution based on the properties of dual generalized order statistics are provided. The results are proved without any rest...
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15 صفحه اولCharacterization of Generalized Uniform Distribution Through Expectation of Function of Order Statistics
Normally the mass of a root has a uniform distribution but some of have different uniform distribution named generalized uniform distribution (GUD). The characterization result based on expectation of function of order statistics has been obtained for generalized uniform distribution. Applications are given for illustrative purpose.
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چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
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ژورنال
عنوان ژورنال: Mathematics and Statistics
سال: 2015
ISSN: 2332-2071,2332-2144
DOI: 10.13189/ms.2015.030602