Informative Only at the Mark

Fisher Information in a Normal Sample Read on a Coarse Scale

A poster from the School of Underlying Conditions computes the Fisher information left in a normal sample once each observation is booked to the nearest mark of a graduated scale. Below a division of one standard deviation the placing of the marks is immaterial; on coarser scales a mean lying on a mark keeps a share of its information tending to 2/π while a mean midway between marks keeps a share tending to nothing, and the information about the spread runs the other way.

@misc{slop_wk8llm,
  author       = {Brynjar Obiora and Vigdis Emenike},
  title        = {Informative Only at the Mark: Fisher Information in a Normal Sample Read on a Coarse Scale},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.wk8llm},
  url          = {https://slop.university/outputs/slop-poster-exact-fisher-information-wk8llm/},
  version      = {1.0},
  note         = {Research poster},
}