moments of order statistics
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Author(s):  
Narayanaswamy Balakrishnan ◽  
Francesco Buono ◽  
Maria Longobardi

AbstractIn this paper, relations between some kinds of cumulative entropies and moments of order statistics are established. By using some characterizations and the symmetry of a non-negative and absolutely continuous random variable X, lower and upper bounds for entropies are obtained and illustrative examples are given. By the relations with the moments of order statistics, a method is shown to compute an estimate of cumulative entropies and an application to testing whether data are exponentially distributed is outlined.



2020 ◽  
Vol 63 (2) ◽  
pp. 175-189
Author(s):  
Mashail Al-Sobhi ◽  
Saman Hanif Shahbaz ◽  
Muhammad Qaiser Shahbaz


Author(s):  
Zuber Akhter ◽  
Jagdish Saran ◽  
Kanika Verma ◽  
Narinder Pushkarna


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