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harvard-ufds / saeczi

Small Area Estimation for Continuous Zero Inflated data
https://harvard-ufds.github.io/saeczi/
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Estimate totals #20

Closed graysonwhite closed 8 months ago

graysonwhite commented 8 months ago

Chandra and Sud (2012) only describe estimation of small area means, however I think it would be easy to implement small area totals in our package as well. I do not see an issue with adding this and I am not sure why the original paper only talks about estimating means rather than some general parameter $\theta$. I imagine we could compute:

$\hat Tj = \sum{i \in Nj} \hat y{ij}$

in the initial estimation and bootstrap process , and

$\widehat{MSE}(\hat Tj) = \frac{1}{B} \sum{b\in B} (\hat T_j^{(b)} - \tilde{T_j})^2$

to provide analogous estimates to means for totals.

graysonwhite commented 8 months ago

This was implemented in #22, thanks @joshyam-k!