moment problem


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moment problem

[′mō·mənt ‚präb·ləm]
(statistics)
The problem of finding a distribution whose moments have specified values, or of determining whether such a distribution exists.
References in periodicals archive ?
The moment problem is to determine the best upper and lower bounds on E[[phi]b(Z)], over all random variables Z [member of] M, given E([Z.
Among their topics are the moment problem, the Kato-Friedrichs operator, the integral operator of a moment matrix, and boundedness and spectral properties.
of Saskatchewan and elsewhere, this provides an elementary introduction and includes such subjects as the moment problem and applications to polynomial optimization.
5] Jacob Stordal Christiansen, The moment problem associated with the q-Laguerre polynomials, Constr.
With a unique time slider mechanism, SiteRunner can turn back the clock and "freeze" the network traffic at the moment problem occurred, making it easy to pinpoint intermittent problems.
The text covers the Stieltjes integral, fundamental formulas, the moment problem, absolutely and completely monotonic functions, Tauberian theorems, the bilateral Laplace transform, inversion and representation problems for the Laplace transform, and the Stieltjes transform.
Lessons here include such topics as the matrix moment problem, Hausdorff and q-Hausdorff
of orthogonal polynomials in one variable corresponds to the determinate or indeterminate moment problem.
Specific topics include Young-Fenchel transformation and some new characteristics of Banach spaces, an example of the boundary of topologically inverted elements, sums and products of bad functions, disc algebra and a moment problem, the stability of logmodularity for uniform algebras, regularity and amenability conditions for uniform algebras, closed suns of marginal subspaces of Banach function space, surjections on the algebras of continuous functions which preserve peripheral spectrum, asymptotics of Toeplitz determinants generated by functions with Fourier coefficients in weighted Orlicz sequence classes, spectral isometries, examples of Banach spaces that are not Banach algebras, and a spectra of algebras of analytic functions and polynomials on Banach space.
ATZMON, A moment problem for positive measures on the unit disc, Pacific J.
With so many people at risk, we must take action to improve safety nets and ensure they are there for people the moment problems strike.