theorem fisherRaoDistance_self {J : ℕ} (s : Fin J → ℝ)
(hs : ∀ j, 0 ≤ s j)
(hsum : ∑ j : Fin J, s j = 1) :
bhattacharyyaCoeff s s = 1 := by
simp only [bhattacharyyaCoeff]
simp_rw [Real.sqrt_mul_self (hs _)]
exact hsumInformation Geometry of CES: