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Sudarat Nidsunkid, Mena Lao,
An Alternative Estimator for Path Sampling.
Int. J. Math. Comput. Sci., 20, no. 1, (2025), 1-7

DOI:

https://doi.org/10.69793/ijmcs/01.2025/mena

Keywords and phrases:

Path sampling, Horvitz-Thompson estimator, unequal probability sampling, ratio estimator, auxiliary variable.

Abstract:

Path sampling is used in area population where paths are defined and sampled from the population. It is a cost saving sampling design because all units in the sample are observed when surveying. The purpose of this paper is to propose an alternative estimator for path sampling by utilizing modified ratio estimator for unequal probability sampling design. Mean square error of the proposed ratio estimator is obtained and compared with the classical ratio estimator. The situations when the proposed ratio estimator is better than the traditional ratio estimator are theoretically presented.