User:Chafe66/sandbox

$$ c_1(K+1) = \frac{I(\bar{A}(K) = \bar{d}_K,\Delta=1, \bar{\Delta}_A=\bar{1})}{\prod_{k=0}^{K} g_{A(k)}} $$

The estimation of each successive conditional expectation starting with $$\bar{Q}_{Y,n}^a$$ is updated in this manner yielding the corresponding $$\bar{Q}_{L(k),n}^{a,*}$$ for $$k = K+1, K, ..., 1$$. The estimate is then computed as $$\psi_{1,n}\equiv \Psi_1(\bar{Q}^{a,*}_{n}) = \bar{Q}_{L(0),n}^{a,*}$$