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On fuzzy techniques for parameter estimation / Noura Abdelsattar Taha Abuelmagd ; Supervised Hegazy Mohamed Zaher, Ahmed Amin Elsheikh

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Noura Abdelsattar Taha Abuelmagd , 2014Description: 167 Leaves ; 30cmOther title:
  • حول الطرق الفازية لتقدير المعلمات [Added title page title]
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  • Issued also as CD
Dissertation note: Thesis (Ph.D.) - Cairo University - Institute of Statistical Studies - Department of Mathematical Statistics Summary: The first objective of this thesis is to review and investigate the role of fuzzy techniques for estimating the unknown parameters and other known techniques based on different types of moments. The second objective, a new Fuzzy least-squares (FLS) estimators for the Pareto distribution and Log-logistic distribution will be introduced. Also, a new two different types of moments (TL-moments and LQ-moments) for the same distributions will be obtained, these new moments will be used to estimate the unknown parameters of the same distributions with different special cases. The fuzzy classification maximum likelihood (FCML) method and EM-algorithm will be used to estimate the unknown parameters of the mixed-exponentiated Pareto distribution. A numerical illustration and simulation is carried out to make a numerical comparison between fuzzy techniques and other known techniques for the Pareto distribution and Log-logistic distribution. Also, a numerical comparison between estimators that obtained by the FCML method and the EM algorithm will be introduced
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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.Ph.D.2014.No.O (Browse shelf(Opens below)) Not for loan 01010110065756000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.18.03.Ph.D.2014.No.O (Browse shelf(Opens below)) 65756.CD Not for loan 01020110065756000

Thesis (Ph.D.) - Cairo University - Institute of Statistical Studies - Department of Mathematical Statistics

The first objective of this thesis is to review and investigate the role of fuzzy techniques for estimating the unknown parameters and other known techniques based on different types of moments. The second objective, a new Fuzzy least-squares (FLS) estimators for the Pareto distribution and Log-logistic distribution will be introduced. Also, a new two different types of moments (TL-moments and LQ-moments) for the same distributions will be obtained, these new moments will be used to estimate the unknown parameters of the same distributions with different special cases. The fuzzy classification maximum likelihood (FCML) method and EM-algorithm will be used to estimate the unknown parameters of the mixed-exponentiated Pareto distribution. A numerical illustration and simulation is carried out to make a numerical comparison between fuzzy techniques and other known techniques for the Pareto distribution and Log-logistic distribution. Also, a numerical comparison between estimators that obtained by the FCML method and the EM algorithm will be introduced

Issued also as CD

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