Optimal prediction-intervals for the exponential distribution, based on generalized order statistics

2001 ◽  
Vol 50 (1) ◽  
pp. 112-115 ◽  
Author(s):  
M. Zayed Raqab
Keyword(s):  
Order Statistics ◽  
Exponential Distribution ◽  
Prediction Intervals ◽  
Generalized Order Statistics ◽  
Optimal Prediction ◽  
Generalized Order

scholarly journals Nonparametric Prediction Intervals of generalized order statistics from two independent sequences

2016 ◽  
Vol 4 (1) ◽  
pp. 36 ◽  
Author(s):  
Mostafa Mohie El-Din ◽  
Walid Emam
Keyword(s):  
Order Statistics ◽  
Record Values ◽  
Prediction Intervals ◽  
Generalized Order Statistics ◽  
Special Cases ◽  
Upper Record Values ◽  
Upper Record ◽  
Nonparametric Prediction ◽  
Nonparametric Prediction Intervals ◽  
Generalized Order

<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>

scholarly journals Relations for Moments of Generalized Order Statistics for Transmuted Exponential Distribution and Characterization

2021 ◽  
pp. 43-50
Author(s):  
Saman Shahbaz ◽  
Mashail Al-Sobhi ◽  
Rehan Ahmad Khan Sherwani
Keyword(s):  
Order Statistics ◽  
Exponential Distribution ◽  
Generalized Order Statistics ◽  
Product Moments ◽  
Recursive Computation ◽  
Single And Product Moments ◽  
Generalized Order

The relations for moments of generalized order statistics (gos) for transmuted exponential distribution are obtained. These include relations for single, inverse, product and ratio moments. These relations are useful in for recursive computation of moments of gos for transmuted exponential distribution. Some characterizations of the distribution, based on single and product moments of gos, are also obtained.

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