Point estimates for probability moments.
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.
Instituto de Ingenieria, Universidad Nacional Autónoma de México, México 20, D.F., Mexico.
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Rosenblueth