Mostafa Abdelhamid Mohamed Rabie  <br/><br/>
Estimation problems concerning exponentiated burr yype III distribution /  
 مشاكل التقدير المتعلقه بتوزيع بيير من النوع الثالث  
Mostafa Abdelhamid Mohamed Rabie ; Supervised Abdallah Abdelfattah , Amal Soliman Hassan 
 - Cairo :   Mostafa Abdelhamid Mohamed Rabie ,   2015 
 - 133 Leaves :   charts ;   30cm 
<br/><br/>Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics 
<br/><br/> The problem of estimating the parameters of a probability distribution from a sample is crucial to many fields of science and engineering, particularly for  predicting future behaviour of a phenomenon from previously observed sample data. This thesis aims to estimate the unknown parameters of the exponentiated  Burr type III distribution from both complete and censored samples. Based on complete sample, the unknown parameters of exponentiated Burr type III  distributions are derived under two cases. Assuming that, the three parameters are unknown in first case. While in the second case, one parameter is known and the  other two parameters are unknown. Five different methods of estimation are applied, namely, maximum likelihood, moments, percentiles, least squares and  weighted least squares. The biases and MSEs are calculated to compare different estimators for all different estimation methods, via simulation using MathCAD (14). Based on type I and type II censored samples, the maximum likelihood  method of estimation is used to obtain point estimators for the unknown parameters. Fisher information matrix and confidence intervals are given in case of  maximum likelihood estimators, using complete and censoring samples of type I and type II  
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<br/><br/><label>Subjects--Index Terms: </label>Maximum likelihood estimators  Mean square error   Percentile estimators