Analysis And Probability

← Back to Domain-Specific Abstractions by Domain

4 domain-specific abstractions whose origin domain is Analysis And Probability.

• Hausdorff moment problem — The problem of characterizing sequences that are moments of a positive measure on the unit interval, with a unique representing measure whenever one exists.
• Moment problem — The inverse problem of deciding whether a sequence is represented by moments of a measure, and whether that representing measure is unique.
• Stieltjes moment problem — The problem of deciding whether a sequence is the moment sequence of a positive measure on the nonnegative half-line and whether that measure is unique.
• Stieltjes transformation — Map a measure to an analytic function off its support by integrating the resolvent kernel 1/(t−z), with boundary limits recovering density and encoding moments and spectral information.