Sankhya: The Indian Journal of Statistics

1994, Volume 56, Series B, Pt. 1, pp. 18--25

JACKKNIFING A MODIFIED RATIO ESTIMATOR UNDER A MODEL

By

S. B. NANDI, Gauhati University

and

A. B. AICH, Presidency College

SUMMARY. Quenouille’s method of bias reduction, also called Quenouille-Tukey Jackknifying, is applied to a modified ratio estimator due to Srivastava (1967). The performance of the jackknifed estimator with regard to bias and variance is examined and the condition of its superiority is derived. Finally, an optimum choice for the number of groups to be considered in connection with the jackknifing is obtained and seen to agree with the results of Rao (1965) and Rao and Webster (1966).

AMS (1980) subject classification. 62D05.

Key words and phrases. Jackknifing, auxiliary information, ratio estimator, product estimator, bias, mean square error.

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This article in mathematical reviews.