Search of Good Rotation Patterns to Improve the Precision of Estimates at Current Occasion

Abstract

In rotation (successive) sampling, it is common practice to use the information collected on a previous occasion to improve the precision of the estimates at current occasion. The previous information may be in the form of an auxiliary character, the character under study itself, or both. In the present work, information on an auxiliary character, which is readily available on all the occasions, has been used along with the information on study character from the previous and current occasion. Consequently, chain type difference and regression estimators have been proposed for estimating the population mean at second (current) occasion in the two occasions rotation (successive) sampling. The proposed estimators have been compared with sample mean estimator when there is no matching and the optimum estimator, which is the combination of the means of the matched and unmatched portions of the sample at the second occasion. Optimum replacement policy is also discussed. Theoretical results have been justified through empirical interpretation.

Some Effective Rotation Patterns in Estimation of Population Mean in Two-Occasion Successive Sampling

“…In many situations, information on an auxiliary variable may be readily available on the first as well as on the second occasion, such as, tonnage (or seat capacity) of each vehicle or ship is known in survey sampling of transportation. Utilizing the auxiliary information on both the occasions, Singh (2005), Singh and Priyanka (2006, 2007, 2008, Singh and Karna (2009), Singh and Prasad (2010), and Singh et al (2011 proposed several estimators of population mean on current (second) occasion in two-occasion successive sampling. Motivated with the above works, the objective of the present article is to propose more effective and relevant estimators of current population mean in two-occasion successive (rotation) sampling.…”

Ratio-to-Regression Estimator in Successive Sampling Using One Auxiliary Variable

“…Utilizing the auxiliary information on both the occasions, Singh (2005), Singh and Priyanka (2006, 2007a, 2008 proposed varieties of chain-type ratio, difference and regression estimators for estimating the population mean on the current (second) occasion in two occasion successive sampling. Singh (2005) suggested two estimators for population mean using the information on an auxiliary variable in successive sampling over two occasions.…”

A Class of Estimators for Population Median in Two Occasion Rotation Sampling

“…The problem of sampling on two successive occasions was first considered by Jessen (1942), and latter this idea was extended by Patterson (1950), Narain (1953), Eckler (1955), Gordon (1983), Arnab and Okafor (1992), Feng and Zou (1977), Singh and Singh (2001), Singh and Priyanka (2008), Singh et al (2012) and many others. All the above efforts were devoted to the estimation of population mean or variance on two or more occasion successive sampling.…”