theorem escortCumulant3_zero_at_symmetry [NeZero J]
{c : ℝ} (hc : 0 < c) (ρ : ℝ) :
escortCumulant3 (fun _ : Fin J => c) ρ = 0 := by
simp only [escortCumulant3, escortRawMoment_at_symmetry hc]
ringThe Cumulant Tower: Higher-Order Bridges Between CES and Escort Statistics