Document Details
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Document Type |
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Thesis |
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Document Title |
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Wark convergence for mixed function of order statistics some application التقارب الضعيف لدوال الاحصاءات المرتبة المترجة مع بعض التطبيقات |
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Subject |
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Sciences Faculty for Girls - Department of Mathematics |
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Document Language |
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Arabic |
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Abstract |
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In the past few years attention has focused on the study of order statistics because of their increasingly important role not only in the areas of theory but also in applied fields, For several distributions, linear functions of order statistics provide good estimators of parameters, when studying the order statistics and statistical functions which illustrated the importance of theory converged in concluding types limit distributions of various of these functions, allowing lists the statistical models which enable us to use in various practical applications, So it will be, The main objective of the study is types limit distributions functions of order statistics mixed between extreme order statistics, the central and intermediate, The thesis is divided into five chapters, In chapter we provide an overview of the basic concepts required by the need for research, followed by a simplified presentation of the asymptotic theory of extreme order statistics, the asymptotic theory of central order statistics, the asymptotic theory of Intermediate order statistics, was also presented some of the functions, order statistics such as: product extremal and quotient extremal, and geometric range, at the end was introduced previous studies discussed in this topic, In chapter II study types limit distributions of the extreme order statistics, the study of domains of attraction to it (necessary and sufficient conditions for weak convergence), specifying linear normalizing constants for each type with some examples, In chapter III we study limit distributions of order statistics central with the study of domains of attraction, and linear normalizing constants for each type of these species, with examples illustrate this, In chapter IV we display Intermediate order statistics in terms of limit distributions, and the conditions necessary and sufficient for the convergence of these distributions, as well as determine the normalizing constants for each type of sin, Chapter V containg the main objective, a conclusion that the of limit distributions of functions of statistics order mixed, in through is the study of functions in order statistics and the creation of all the of limit distributions of possible non-trivial and the trivial of product extremal and quotient extremal, and geometric range, with constants of normalizing linear and the conditions necessary and sufficient to get them. |
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Supervisor |
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prof.El Sayed Mahsoub Nigm |
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Thesis Type |
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Doctorate Thesis |
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Publishing Year |
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1433 AH
2012 AD |
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Added Date |
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Wednesday, July 11, 2012 |
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Researchers
| زريفة محمد العمري | alamri, Zarifa mohammed | Researcher | Doctorate | |
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