A Class of Exponential-Type Estimators in Systematic Sampling

Abstract. This paper considers the problem of estimating the population mean of the study variable Y using systematic sampling in presence of an auxiliary variable X . A class of estimators is proposed and its properties are studied under large sample approximation. It is shown that the proposed class of estimators is more efficient under certain realistic conditions than the usual unbiased estimator, e.g., Swain's (1964) ratio estimator, Shukla's (1971) product estimator and modified estimators. The two phase sampling version of the suggested class of estimators in systematic sampling is introduced along with its properties. An empirical study is provided to illustrate the results of this paper.