Letk ′ =k−nλ≥0 denote the actual number of individuals we treat

To start, we have that: σ∗ := max j σ2 j ≤ M2 2ψn2 + M(N−n/M) 4nN = M2 2ψn2 + P−n 4nN (134), by Lemma 18, we know that: σ2 := 1 M MX j=1 σ2 j ≤ M2 2ψn2 + (P−n)(¯ρ M(1−¯ρM)−3¯ρ2