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Probabilistic representation of generalized skew-symmetric distributions and their applications / Mahmoud Mohamed Mahmoud Elsehetry ; Supervised Abdallah Mohamed Abdelfattah , Elsayed Hassan Saleh

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Mahmoud Mohamed Mahmoud Elsehetry , 2015Description: 124 P. : charts ; 30cmOther title:
  • التمثل الاحتمالى للتوزيعات المتماثلة الملتوية المعممة وتطبيقاتها [Added title page title]
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Dissertation note: Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies - Department of Mathematical Statistics Summary: In this thesis, we derive, the probability density function (pdf) and cumulative distribution function (CDF) of the skew type I generalized logistic distribution SGLD .The general statistical properties of the SGLD such as: the moment generating function (mgf), characteristic function (ch.f), Laplace and fourier transformations are obtained in explicit form. Expressions for the nth moment, skewness and kurtosis coefficients are discussed. Mean deviation about the mean and about the median, Renye entropy and the order statistics are also given. We consider the general case by inclusion of location and scale parameters. The results of Nadarajah [11] are obtained as special cases. Graphically illustration of some results have been represented. Further we present a numerical example to illustrate some results of this paper
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Item type Current library Home library Call number Copy number Status Date due Barcode
Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.18.03.M.Sc.2015.Ma.P (Browse shelf(Opens below)) Not for loan 01010110067758000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.18.03.M.Sc.2015.Ma.P (Browse shelf(Opens below)) 67758.CD Not for loan 01020110067758000

Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies - Department of Mathematical Statistics

In this thesis, we derive, the probability density function (pdf) and cumulative distribution function (CDF) of the skew type I generalized logistic distribution SGLD .The general statistical properties of the SGLD such as: the moment generating function (mgf), characteristic function (ch.f), Laplace and fourier transformations are obtained in explicit form. Expressions for the nth moment, skewness and kurtosis coefficients are discussed. Mean deviation about the mean and about the median, Renye entropy and the order statistics are also given. We consider the general case by inclusion of location and scale parameters. The results of Nadarajah [11] are obtained as special cases. Graphically illustration of some results have been represented. Further we present a numerical example to illustrate some results of this paper

Issued also as CD

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