الفهرس Only 14 pages are availabe for public view
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Abstract
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