Information and sufficiency notes for understanding what a statistic preserves about a parameter.

Notes

AreaNoteStatus
InformationFisher Informationdraft
SufficiencySufficiencydraft
SufficiencyNeyman Factorization Theoremdraft

Learning Use

  • Use Fisher information to measure local parameter identifiability.
  • Use sufficiency and factorization to reduce samples without losing parameter information.
  • Prepare for UMVU construction and lower-bound arguments.