Nuran Medhat Hassan Almawan <br/><br/>
Estimation of the population mean and variance based on a ranked set sampling methods :   Comparative study /  
 تقدير المتوسط والتباين بناء على طرق معاينة المجموعة المرتبة :   دراسة مقارنة  
Nuran Medhat Hassan Almawan ; Supervised Elhoussainy Abdelbar Rady 
 - Cairo :   Nuran Medhat Hassan Almawan ,   2018 
 - 80 Leaves :   charts ;   30cm  
<br/><br/>Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Statistics and Econometrics 
<br/><br/> Ranked set sampling method (RSS) is one of the methods that can be used to precise estimates of population parameters with minimum cost and expenditure. It uses additional information from the population to provide more structure to the data  collection process and decreases the likelihood of an unrepresentative sample. The  aim of the study is discussed the ranked set sampling methods for estimate the  population mean and defined the mean and the variance of each case in these  methods. Also, suggest a new ranked set sampling method with determine the mean  and the variance of this method. Finally, compare all variances of the ranked set sampling methods to find the better method  This thesis is organized as follows: Chapter (1) Some known definitions of some general statistical terminologies and basic concepts  are reviewed which will be needed in next chapters. Chapter (2) The review of literature for the development of ranked set sampling methods for symmetric and asymmetric distributions have been introduced. Chapter (3) Studied the ranked set sampling methods and defined the mean and the variance of each case in the methods with illustrative examples for each method. Chapter (4) Displayed a new sampling method named median double ranked set sample. The properties of this method for estimating the population mean are discussed. Also, an illustrative examples are mentioned. Chapter (5) A simulation study has been constructed to compare between the ranked set  sampling methods for different sample sizes and different distributions 
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<br/><br/><label>Subjects--Index Terms: </label>Quartile ranked set sample (QRSS)  Ranked set sampling method (RSS)  Simple random sample (SRS)