Noura Abdelsattar Taha Abuelmagd  <br/><br/>
On fuzzy techniques for parameter estimation /  
 حول الطرق الفازية لتقدير المعلمات 
Noura Abdelsattar Taha Abuelmagd ; Supervised Hegazy Mohamed Zaher, Ahmed Amin Elsheikh  
 - Cairo :   Noura Abdelsattar Taha Abuelmagd ,   2014 
 - 167 Leaves ;   30cm 
<br/><br/>Thesis (Ph.D.) - Cairo University - Institute of Statistical Studies - Department of Mathematical Statistics 
<br/><br/> 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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<br/><br/><label>Subjects--Index Terms: </label>Log-logistic distribution  Mixed-exponentiated Pareto  distribution  Pareto distribution