Joint Moment Generating Functions of Nonadjacent Dual Generalized Order Statistics from Reflected Generalized Pareto Distributions

2012 ◽  
Vol 41 (15) ◽  
pp. 2762-2772 ◽  
Author(s):  
A. Ahmad Abd El-Baset
Keyword(s):  
Order Statistics ◽  
Generating Functions ◽  
Joint Moment ◽  
Generalized Order Statistics ◽  
Generalized Pareto ◽  
Pareto Distributions ◽  
Moment Generating Functions ◽  
Generalized Pareto Distributions ◽  
Dual Generalized Order Statistics ◽  
Generalized Order

scholarly journals On a characterization of generalized Erlang-truncated exponential distribution through distributional properties of dual generalized order statistics

2013 ◽  
Vol 44 (4) ◽  
pp. 445-452
Author(s):  
Imtiyaz A. Shah
Keyword(s):  
Order Statistics ◽  
Generalized Pareto Distribution ◽  
Generalized Order Statistics ◽  
Generalized Pareto ◽  
Record Statistics ◽  
Power Function Distribution ◽  
Lower Record ◽  
Upper Record ◽  
Dual Generalized Order Statistics ◽  
Generalized Order

Generalized Erlang-truncated exponential distribtion ${F(x)=[1-e^{-\beta(1-e^{-\lambda})x}]}$ has been characterized through translation of two non-adjacent dual generalized order statistics (dgos) and then the characterizing results are obtained for generalized Pareto distribution through dilation of dual generalized order statistics (dgos) and generalized power function distribution through pcontraction of non-adjacent generalized order statistics (gos). Further, the results are deduced for order statistics, lower record statistics, upper record statistics and adjacent generalized order statistics and dual generalized order statistics.

scholarly journals The extended generalized half logistic distribution based on ordered random variables

2015 ◽  
Vol 46 (3) ◽  
pp. 245-256 ◽  
Author(s):  
Devendra Kumar
Keyword(s):  
Order Statistics ◽  
Generating Functions ◽  
Conditional Expectation ◽  
Recurrence Relations ◽  
Random Variables ◽  
Record Values ◽  
Joint Moment ◽  
Generalized Order Statistics ◽  
Logistic Distribution ◽  
Generalized Order

In this paper, we considered an extended generalized half logistic distribution and derived some explicit expressions and recurrence relations for marginal and joint moment generating functions of generalized order statistics from extended generalized half logistic distribution. The results for record values and order statistics are deduced from the result. Finally, we obtained the characterizing result of this distribution on using the conditional expectation of generalized order statistics.

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