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October 1, 1975Proceedings of the National Academy of Sciences874 citationsOpen Access

Point estimates for probability moments

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EREmilio Rosenbluéth

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Abstract

Given a well-behaved real function Y of a real random variable X and the first two or three moments of X , expressions are derived for the moments of Y as linear combinations of powers of the point estimates y(x + ) and y(x - ) , where x + and x - are specific values of X . Higher-order approximations and approximations for discontinuous Y using more point estimates are also given. Second-moment approximations are generalized to the case when Y is a function of several variables.

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Cite This Study

Emilio Rosenbluéth (1975) studied this question.

synapsesocial.com/papers/69dcc13f0de68e8319e534a7https://doi.org/10.1073/pnas.72.10.3812
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