Moments of order statistics and k-record values arising from the complementary beta distribution with application

2021 ◽  
Vol 390 ◽  
pp. 113386
Author(s):  
Roghaye Makouei ◽  
Hossein Jabbari Khamnei ◽  
Mahdi Salehi
2020 ◽  
Vol 8 (1) ◽  
pp. 22-35
Author(s):  
M. Shakil ◽  
M. Ahsanullah

AbstractThe objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties of the distribution of the condition number of a complex Gaussian matrix are given. Based on such distributional properties, some characterizations of the distribution are given by truncated moment, order statistics and upper record values.


Statistics ◽  
1998 ◽  
Vol 30 (4) ◽  
pp. 345-355
Author(s):  
Jagdish Saran ◽  
Narinder Pushkarna

Author(s):  
Mostafa Mohie El-Din ◽  
Walid Emam

<p>This paper, discusses the problem of predicting future a generalized order statistic of an iid sequence sample was drawn from an arbitrary unknown distribution, based on observed also generalized order statistics from the same population. The coverage probabilities of these prediction intervals are exact and free of the parent distribution F(). Prediction formulas of ordinary order statistics and upper record values are extracted as special cases from the productive results. Finally, numerical computations on several models of ordered random variables are given to illustrate the proposed procedures.</p>


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