Sections / Section 6: Information Geometry and Cumulant Tower / escortRawMoment

Escort Raw Moment

defprovedInfo Geometry

Documentation

Lean 4 Proof

def escortRawMoment (x : Fin J → ℝ) (ρ : ℝ) (n : ℕ) : ℝ :=
  escortPartitionZn x ρ n / escortPartitionZ x ρ

Dependency Graph

Used by

escortRawMoment_at_symmetry cumulant_tower_summary vri_from_moment_recursion escortRawMoment_hasDerivAt escortCumulant2 escortCumulant4 escortRawMoment_zero escortCumulant3 escortCumulant2_eq_variance escortRawMoment_one

Location

thesis/CESProofs/Foundations/CumulantTower.lean:110

Module Section

The Cumulant Tower: Higher-Order Bridges Between CES and Escort Statistics

In the same file

hasDerivAt_rpow hasDerivAt_rpow_logpow escortPartitionZn escortPartitionZn_zero escortPartitionZn_one escortPartitionZn_hasDerivAt escortRawMoment_zero escortRawMoment_one escortRawMoment_hasDerivAt escortCumulant2 escortCumulant3 escortCumulant4 escortCumulant2_eq_variance cumulant3_is_derivative_of_variance cumulant4_is_derivative_of_cumulant3 escortRawMoment_at_symmetry escortCumulant2_zero_at_symmetry escortCumulant3_zero_at_symmetry escortCumulant4_zero_at_symmetry escortCentralMoment