On Cumulative Entropies in Terms of Moments of Order Statistics Journal Articles

abstract

• 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.

authors

• Balakrishnan, Narayanaswamy
• Buono, Francesco
• Longobardi, Maria

status

• published 

publication date

• March 2022

has subject area

• 0102 Applied Mathematics (FoR)
• 0103 Numerical and Computational Mathematics (FoR)
• 0104 Statistics (FoR)
• Statistics & Probability (Science Metrix)

published in

• Methodology and Computing in Applied Probability  Journal

keywords

• Cumulative entropies
• Mathematics
• Moments
• Order statistics
• Physical Sciences
• Science & Technology
• Statistics & Probability

Digital Object Identifier (DOI)

• 10.1007/s11009-021-09850-0

start page

• 345

end page

• 359

volume

• 24

issue

• 1