In 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.
On Cumulative Entropies in Terms of Moments of Order Statistics / Balakrishnan, Narayanaswamy; Buono, Francesco; Longobardi, Maria. - In: METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY. - ISSN 1573-7713. - (2022). [10.1007/s11009-021-09850-0]
On Cumulative Entropies in Terms of Moments of Order Statistics
Francesco Buono;Maria Longobardi
2022
Abstract
In 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.| File | Dimensione | Formato | |
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