On the estimation of omission rate for Indian census count

Estimation of inherent coverage error in census count is an highly addressed problem in statistical demography.
In this article we briefly discuss the statistical methodology to obtain the omission rate in Indian census using Dual System
Estimation(DSE) technique. We have explicitly studied the correlation bias factor involved in the estimate, its extent
and consequences. A new potential source of bias in the estimate is introduced. At the survey
time, more efficient enumerators (than census time) are appointed and
this fact may inflate the dependency between two lists and
lead to a significant bias. Some examples are given to
demonstrate this argument in various plausible situations. We have suggested one simple and flexible approach which can control the bias.
Our proposed estimator can efficiently overcome the potential bias by achieving desired degree of accuracy(almost unbiased) with relatively better efficiency. Overall improvements and consistency in the results are explored through simulation study on different populations. New estimator is also compared also with another type of dual system estimator used by Indian Sample Registration System(SRS) to estimate number of births and deaths.