Attainable bounds for expectations
1982 ◽
Vol 33
(3)
◽
pp. 411-420
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Keyword(s):
AbstractA simple technique for obtaining bounds in terms of means and variances for the expectations of certain functions of random variables in a given class is examined. The bounds given are sharp in the sense that they are attainable by at least one random variable in the class. This technique is applied to obtain bounds for moment generating functions, the coefficient of skewness and parameters associated with branching processes. In particular an improved lower bound for the Malthusian parameter in an age-dependent branching process is derived.
1974 ◽
Vol 11
(04)
◽
pp. 695-702
◽
1978 ◽
Vol 10
(04)
◽
pp. 744-763
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Keyword(s):
Keyword(s):