Data Collectionhard
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When applying the Horvitz-Thompson estimator Y^HT=∑i∈syiπi\hat{Y}_{HT} = \sum_{i \in s} \frac{y_i}{\pi_i} for unequal probability sampling without replacement, what condition on the joint inclusion probabilities πij\pi_{ij} is required to calculate an unbiased estimator for the variance V(Y^HT)V(\hat{Y}_{HT})?