Maximum power estimation using the limiting distributions of extreme order statistics

2002 ◽  
Author(s):  
Qinru Qiu ◽  
Qing Wu ◽  
M. Pedram
Keyword(s):  
Order Statistics ◽  
Power Estimation ◽  
Maximum Power ◽  
Limiting Distributions ◽  
Extreme Order Statistics

Some Characterizations of the Log-Logistic Distribution

2018 ◽  
Vol 33 (1) ◽  
pp. 23-29 ◽  
Author(s):  
Mohammad Ahsanullah ◽  
Ayman Alzaatreh
Keyword(s):  
Order Statistics ◽  
Random Variable ◽  
Record Values ◽  
Skewed Distribution ◽  
Logistic Distribution ◽  
Limiting Distributions ◽  
Extreme Order Statistics

Abstract The log-logistic distribution is a right skewed distribution of a random variable whose logarithm has the logistic distribution. In this paper, characterizations based on truncated moments, functions of order statistics and record values are obtained. Also, limiting distributions for the extreme order statistics are studied.

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