Abstract
In this paper an efficient estimation procedure to estimate the current population mean in two-occasion successive sampling has been developed. An exponential regression type estimator of current population mean is proposed and corresponding optimum replacement strategy has been suggested. The superiority of the proposed estimator is empirically established over sample mean estimator and natural successive sampling estimator. Results are interpreted and suitable recommendations have been made.
Highlights
When character under study of a finite population changes over time, one time survey carried out on a single occasion provides information about the characteristic of the surveyed population for the given occasion only and does not give any information about the nature or pattern of change of characteristic over different occasions and the precise estimates of the characteristic over all occasions or on the most recent occasion
Singh et al (1991), and Singh and Singh (2001) used the auxiliary information on current occasion for estimating the current population mean in two occasion successive sampling
In follow up of the above arguments, the objective of the present work is to propose a more precise estimator of current population mean in two-occasion successive sampling using the information on two stable auxiliary variables which are readily available on both the occasions
Summary
When character under study of a finite population changes over time, one time survey carried out on a single occasion provides information about the characteristic of the surveyed population for the given occasion only and does not give any information about the nature or pattern of change of characteristic over different occasions and the precise estimates of the characteristic over all occasions or on the most recent occasion. Theory of successive sampling appears to have started with the work of Jessen (1942), he was pioneered in using the entire information collected during previous investigations to make current estimates more precise. This theory was extended by Pattersons (1950), Rao and Graham (1964), Gupta (1979), Das (1982), among others. In follow up of the above arguments, the objective of the present work is to propose a more precise estimator of current population mean in two-occasion successive sampling using the information on two stable auxiliary variables which are readily available on both the occasions. Results have been nicely interpreted and suitable recommendations are made
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