On computing the dispersion function (Q1094128)

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scientific article; zbMATH DE number 4024741
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On computing the dispersion function
scientific article; zbMATH DE number 4024741

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    On computing the dispersion function (English)
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    1988
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    A two-dimensional analogue of the well-known bisection method for root finding is presented in order to solve the following problem, related to the dispersion function of a set of random variables: given distribution functions \(F_ 1,...,F_ n\) and a probability p, find an interval [a,b] of minimum width such that \(F_ i(b)-F_ i(a^ -)\geq p\), for \(i=1,...,n\).
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    bisection method
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    root finding
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    dispersion function
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    distribution functions
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    concentration function
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    interval minimization
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