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.
© 2013 by Walter de Gruyter Berlin Boston
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- Masthead
- A Critical Review of Statistical Methods Used in Quality Control
- Estimation of Crossing Points of Continuous Distribution Functions
- Transient Analysis of Multistage Degraded Systems with L Exponential Failure Modes and Partial Repair Times Modeled by Coxian-2 Distribution
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Articles in the same Issue
- Masthead
- A Critical Review of Statistical Methods Used in Quality Control
- Estimation of Crossing Points of Continuous Distribution Functions
- Transient Analysis of Multistage Degraded Systems with L Exponential Failure Modes and Partial Repair Times Modeled by Coxian-2 Distribution
- Control Charts for Doubly Truncated Binomial Distributions
- A Class of Exponential-Type Estimators in Systematic Sampling