On Cumulative Entropies in Terms of Moments of Order Statistics
Keyword(s):
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.
1972 ◽
Vol 9
(02)
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pp. 457-461
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1996 ◽
Vol 106
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pp. 105-135
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1993 ◽
Vol 7
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pp. 437-440
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1983 ◽
Vol 20
(04)
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pp. 822-834
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1988 ◽
Vol 2
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pp. 257-261
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2014 ◽
Vol 2
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