An inequality for probability density functions arising from a distinguishability problem
1998 ◽
Vol 39
(3)
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pp. 350-354
Keyword(s):
The Real
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AbstractAn integral inequality is established involving a probability density function on the real line and its first two derivatives. This generalizes an earlier result of Sato and Watari. If f denotes the probability density function concerned, the inequality we prove is thatunder the conditions β > α 1 and 1/(β+1) < γ ≤ 1.
2010 ◽
Vol 47
(01)
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pp. 293-299
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2021 ◽
pp. 40-52
1965 ◽
Vol 2
(02)
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pp. 286-292
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2001 ◽
Vol 123
(3)
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pp. 285-299
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Keyword(s):
2013 ◽
Vol 46
(1)
◽
pp. 88-92
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2017 ◽
Vol 17
(6)
◽
pp. 1473-1490
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