Estimation of the size of a closed population

• Autorzy: S. Sengupta
• Języki publikacji: EN

Abstrakty

EN

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 an estimator which differs from an MLE by at most one have uniformly smaller mean square errors than the respective UMVUE's.

Kategorie tematyczne

• 62D05: Sampling theory, sample surveys
• 62F10: Point estimation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2010
• Tom: 37
• Numer: 2
• Strony: 237-245

Daty

wydano

2010

Twórcy

autor

S. Sengupta

• Department of Statistics, Calcutta University, 35, Ballygunge Circular Road, Kolkata 700019, India

Identyfikatory

DOI

10.4064/am37-2-8