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.

scholarly journals Progressively Type-II Right Censored Order Statistics from Hjorth Distribution and Related Inference

2020 ◽  
Vol 8 (2) ◽  
pp. 481-498
Author(s):  
NARINDER PUSHKARNA ◽  
JAGDISH SARAN ◽  
KANIKA VERMA
Keyword(s):  
Order Statistics ◽  
Recurrence Relations ◽  
Type Ii ◽  
Sample Sizes ◽  
Product Moments ◽  
Scale Parameters ◽  
Censored Samples ◽  
Progressive Type ◽  
Right Censored Order Statistics ◽  
Single And Product Moments

In this paper some recurrence relations satisfied by single and product moments of progressive Type-II right censored order statistics from Hjorth distribution have been obtained. Then we use these results to compute the moments for all sample sizes and all censoring schemes (R1,R2,...,Rm),m ≤ n, which allow us to obtain BLUEs of location and scale parameters based on progressive type-II right censored samples.

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

scholarly journals Expectation Properties of Generalized Order Statistics from Poisson Lomax Distribution

2020 ◽  
Vol 9 (3) ◽  
pp. 735-747
Author(s):  
Haseeb Athar ◽  
Zubdahe Noor ◽  
Saima Zarrin ◽  
Hanadi N.S. Almutairi
Keyword(s):  
Order Statistics ◽  
Recurrence Relations ◽  
Generalized Order Statistics ◽  
Lifetime Data ◽  
Product Moments ◽  
Lomax Distribution ◽  
Single And Product Moments ◽  
Generalized Order

The Poisson Lomax distribution was proposed by [3], as a useful model for analyzing lifetime data. In this paper,we have derived recurrence relations for single and product moments of generalized order statistics for this distribution. Further, characterization of the distribution is carried out. Some deductions and particular cases are also discussed.

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