Modes and moments of unimodal distributions |
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Authors: | Ken-iti Sato |
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Institution: | (1) Nagoya University, Nagoya, Japan |
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Abstract: | Summary For a unimodal distribution relations of its modea with its absolute momentβ
p
and central absolute momentγ
p
of orderp are considered. The best constantA
p
andB
p
are given for the inequalities |a|≦A
p
β
p
1/p
(p>0) and |a−m|≦B
p
γ
p
1/p
(p≧1) wherem is the mean. the results follow from discussion of more general moments. |
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Keywords: | Unimodal distribution mode moment |
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