Displaying similar documents to “Admissible Unbiased Variance Estimation in Finite Population Sampling Under Randomized Response.”

Estimation of the size of a closed population

S. Sengupta (2010)

Applicationes Mathematicae


The problem considered is that of estimation of the size (N) of a closed population under three sampling schemes admitting unbiased estimation of N. It is proved that for each of these schemes, the uniformly minimum variance unbiased estimator (UMVUE) of N is inadmissible under square error loss function. For the first scheme, the UMVUE is also the maximum likelihood estimator (MLE) of N. For the second scheme and a special case of the third, it is shown respectively that an MLE and...