Topics Covered in the Literature Subsequent to Chaudhuri (2011)

(a Chaudhuri in International Statistical Institute Proceedings of the 58th World Statistics Congress, Dublin, pp 1939–1947, 2011a.) started with (Godambe in J Royal Statist Soc B 17:269–278, 1955) homogeneous linear unbiased estimator \(t_{b} = \sum\nolimits_{i = 1}^{N} {y_{i} b_{si} I_{si} }\) for \(Y = \sum\nolimits_{i = 1}^{N} {y_{i} }\) in a DR survey with \(I_{si} = 1 {\text{ or }} 0 {\text{ if }} i \in s or i \notin s\) , \(b_{si}\) free of \(y_{i}\) ’s in \(\underline{Y} = \left( {y_{1} , \ldots ,y_{i} , \ldots .,y_{N} } \right)\) subject to \(\sum\nolimits_{s \mathrel\backepsilon i} {p\left( s \right)b_{si} = 1 \forall i \in U} .\)