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Titlebook: Distributions with given Marginals and Moment Problems; Viktor Beneš,Josef Štěpán Book 1997 Springer Science+Business Media Dordrecht 1997

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Realistic Mathematics Education,We complete a partially known solution of the problem of determining the extreme expectations of arbitrarily rounded nonnegative (possibly bounded) random variables with given two moments: the expectation and another moment of a positive order.
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Realistic Mathematics Education,Let . be a finite subset of ℤ. including 0 = (0,…, 0). Let Φ = (φ.). be a family of measurable and linearly independent complex or real functions denned over a compact ., with .. Let . be a reference measure over ..
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Optimal Bounds on the Average of a Rounded off Observation in the Presence of a Single Moment CondiThe moment problem of finding the maximum and minimum expected values of the averages of nonnegative random variables over various sets of observations subject to one simple moment condition is encountered. The solution is given by means of geometric moment theory (see [3]).
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The Complete Solution of a Rounding Problem Under Two Moment Conditions,We complete a partially known solution of the problem of determining the extreme expectations of arbitrarily rounded nonnegative (possibly bounded) random variables with given two moments: the expectation and another moment of a positive order.
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Moment Problems in Stochastic Geometry,In stochastic geometry (Stoyan et al., 1995), random processes of geometrical objects are studied. In particular, stereological methods are used for the estimation of geometrical parameters from observation on sections or projections.
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