Tolga Zaman https://orcid.org/0000-0001-8780-3655
ARTICLE

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ABSTRACT

This study proposes a new class of exponential-type estimators in simple random sampling for the estimation of the population mean of the study variable using information of the population proportion possessing certain attributes. Theoretically, mean squared error (MSE) equations of the suggested ratio exponential estimators are obtained and compared with the Naik and Gupta (1996) ratio and product estimators, the ratio and product exponential estimator presented in Singh et al. (2007) and the ratio exponential estimators presented in Zaman and Kadilar (2019a). As a result of these comparisons, it is observed that the proposed estimators always produce more efficient results than the others. In addition, these theoretical results are supported by the application of original datasets.

KEYWORDS

ratio-exponential estimators, auxiliary attribute, mean square error, efficiency

REFERENCES

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ZAMAN, T., KADILAR, C., (2019a). Novel family of exponential estimators using information of auxiliary attribute, Journal of Statistics and Management Systems, pp. 1-11.

ZAMAN, T., KADILAR, C., (2019b). New class of exponential estimators for finite population mean in two-phase sampling, Communications in Statistics – Theory and Methods, pp. 1-16.

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