A note on recurrence relations for the product moments of order statistics

1996 ◽  
Vol 29 (3) ◽  
pp. 245-249 ◽  
Author(s):  
P. Yageen Thomas ◽  
Philip Samuel
Keyword(s):  
Order Statistics ◽  
Recurrence Relations ◽  
Product Moments ◽  
Moments Of Order Statistics

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 On the quotient moment of lower generalized order statistics and characterization

2015 ◽  
Vol 11 (1) ◽  
pp. 73-89
Author(s):  
Devendra Kumar
Keyword(s):  
Order Statistics ◽  
Recurrence Relation ◽  
Conditional Expectation ◽  
General Class ◽  
Recurrence Relations ◽  
Generalized Order Statistics ◽  
Lower Records ◽  
Moments Of Order Statistics ◽  
Generalized Order

Abstract In this paper we consider general class of distribution. Recurrence relations satisfied by the quotient moments and conditional quotient moments of lower generalized order statistics for a general class of distribution are derived. Further the results are deduced for quotient moments of order statistics and lower records and characterization of this distribution by considering the recurrence relation of conditional expectation for general class of distribution satisfied by the quotient moment of the lower generalized order statistics.

Sign in / Sign up

Export Citation Format

Share Document