TY  - BOOK
AU  - Noura Abdelsattar Taha Abuelmagd 
AU  - Ahmed Amin Elsheikh , 
AU  - Hegazy Mohamed Zaher , 
TI  - On fuzzy techniques for parameter estimation / 
PY  - 2014///
CY  - Cairo : 
PB  - Noura Abdelsattar Taha Abuelmagd , 
KW  - Log-logistic distribution
KW  - Mixed-exponentiated Pareto  distribution
KW  - Pareto distribution
N1  - Thesis (Ph.D.) - Cairo University - Institute of Statistical Studies - Department of Mathematical Statistics; Issued also as CD
N2  - 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
ER  -