Recurrence Relation of Single and Product Moments of Order Statistics from Additive Weibull Distribution

2017 ◽  
Vol 4 (2) ◽  
pp. 91-95
Author(s):  
Abdulaziz Q. Alsubie ◽  
M. A. K. Baig ◽  
Javid Gani Dar
Keyword(s):  
Weibull Distribution ◽  
Order Statistics ◽  
Recurrence Relation ◽  
Product Moments ◽  
Moments Of Order Statistics ◽  
Single And Product Moments

scholarly journals Power generalized Weibull distribution based on order statistics

2017 ◽  
Vol 51 (1) ◽  
pp. 61-78 ◽  
Author(s):  
DEVENDRA KUMAR ◽  
SANKU DEY
Keyword(s):  
Weibull Distribution ◽  
Order Statistics ◽  
Recurrence Relations ◽  
Sample Sizes ◽  
Efficient Manner ◽  
Product Moments ◽  
Scale Parameters ◽  
Moments Of Order Statistics ◽  
Single And Product Moments

In this article, we establish recurrence relations for the single and product moments of order statistics from the power generalized Weibull (PGW) distribution due to Bagdonovacius and Nikulin (2002). These recurrence relations enable computation of the means, variances and covariances of all order statistics for all sample sizes in a simple and efficient manner. By using these relations, we have obtained the means, variances and covariances of order statistics from samples of sizes up to 5 for various values of the shape and scale parameters and present them in figures.

Estimation of the Parameters of Triangular Distribution by Order Statistics

2003 ◽  
Vol 54 (1-2) ◽  
pp. 45-56 ◽  
Author(s):  
Philip Samuel ◽  
P. Yageen Thomas
Keyword(s):  
Order Statistics ◽  
Triangular Distribution ◽  
Unbiased Estimators ◽  
Product Moments ◽  
Scale Parameters ◽  
U Statistics ◽  
Best Linear Unbiased ◽  
Best Linear Unbiased Estimators ◽  
Moments Of Order Statistics ◽  
Single And Product Moments

In this paper, we derive explicit expressions for the single and product moments of order statistics arising from the standard triangular distribution. Best linear unbiased estimators of the location and scale parameters of a triangular distribution based on order statistics are obtained. The efficiencies of these estimators are also compared with estimators based on U-statistics

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