aw_var function

Variance of policy value estimator via non-contextual adaptive weighting.

Variance of policy value estimator via non-contextual adaptive weighting.

Computes the variance of a policy value estimate based on AIPW scores, a policy matrix, and non-contextual adaptive weights.

aw_var(scores, estimate, policy, evalwts = NULL)

Arguments

  • scores: Numeric matrix. AIPW scores, shape [A, K]. Must not contain NA values.
  • estimate: Numeric scalar. Policy value estimate.
  • policy: Numeric matrix. Policy matrix π(Xt,w)\pi(X_t, w), shape [A, K]. Must have the same shape as scores and must not contain NA values.
  • evalwts: Optional numeric vector. Non-contextual adaptive weights hth_t, length A, or NULL.

Returns

Numeric scalar. Variance of policy value estimate.

Examples

scores <- matrix(c(0.5, 0.8, 0.6, 0.3, 0.9, 0.2, 0.5, 0.7, 0.4, 0.8, 0.2, 0.6), ncol = 3, byrow = TRUE) policy <- matrix(c(0.2, 0.3, 0.5, 0.6, 0.1, 0.3, 0.4, 0.5, 0.1, 0.2, 0.7, 0.1), ncol = 3, byrow = TRUE) estimate <- aw_estimate(scores = scores, policy = policy, evalwts = c(0.5, 1, 0.5, 1.5)) aw_var(scores = scores, estimate = estimate, policy = policy, evalwts = c(0.5, 1, 0.5, 1.5))