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On Combination of Ratio and PPS Estimators
Author(s) -
Pandey S. K.,
Singh R. Karan
Publication year - 1984
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710260319
Subject(s) - estimator , mathematics , statistics , mean squared error , ratio estimator , efficient estimator , bias of an estimator , constant (computer programming) , consistent estimator , value (mathematics) , population mean , minimum variance unbiased estimator , sampling (signal processing) , sample (material) , computer science , chemistry , chromatography , filter (signal processing) , computer vision , programming language
AGARWAL and KUMAR (1980) proposed an estimator, combining ratio and pps estimators of population mean and proved that the proposed estimator would always be better (in minimum mean square error sense) than the pps estimator or the ratio estimator under pps sampling scheme for optimum value of constant k (parameter). The optimum value of k is rarely known in practice, hence the alternative is to replace k from the sample‐values. In this paper, an estimator depending on estimated optimum value of k based on sample‐values, under pps sampling scheme is proposed and studied.