Applying alternative integral transforms to frequency statistics

Determine whether alternative integral transforms, including Fourier or Mellin transforms, can be used to estimate frequency-based statistics in Delphic set streams and characterize the classes of statistics to which such transforms apply.

Background

The paper’s framework interprets the expected support polynomial as a complementary Laplace transform and uses this representation to estimate F_k and other Bernstein-type statistics through sampling and numerical integration.

The authors explicitly leave open whether other transforms could provide analogous estimation frameworks and which statistic classes would admit such treatments.