A Class of Estimators for Population Variance in Two Occasion Rotation Patterns

Abstract

A variety of practical problems can be addressed in the framework of rotation (successive) sampling. The present work presents a sample rotation pattern where sampling units are drawn on two successive occasions. The problem of estimation of population variance on current (second) occasion in two -occasion successive (rotation) sampling has been considered. A class of estimators has been proposed for population variance that includes many estimators as a particular case. Asymptotic properties of the proposed class of estimators are discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion. Optimum replacement policy is discussed. Results are supported with the empirical means of comparison.

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.…”

New Approaches Using Exponential Type Estimator With Cost Modelling for Population Mean on Successive Waves

“…The approach of sampling over successive waves has been made more fruitful by using twisted and novel ways to consider extra information along with the study character. Enhanced literature has been made availableby Patterson (1950), Narain (1953), Eckler (1955), Sen(1971Sen( , 1972Sen( , 1973, Gordon (1983), , Arnab and Okafor (1992), Feng and Zou (1997), Biradar and Singh (2001), Singh and Singh (2001), Singh (2005), Singh and Priyanka (2006, 2007, 2008, Singh and Karna (2009), Singh and Prasad (2010), Singh et al (2011), Singh et al (2013), Bandyopadhyay and Singh(2014), Priyanka and Mittal (2014), , Mittal (2015a, 2015b)etc.…”

Estimation of Population Mean on Recent Occasion under Non-Response in h-Occasion Successive Sampling

“…Utilizing the auxiliary information on both occasions, Feng and Zou (1997), Biradar and Singh (2001), Singh (2005), Singh and Karna (2009), Singh and Prasad (2010), Singh, Prasad, and Karna (2011), Singh, Majhi, Maurya, and Sarma (2015) and Sharma (2014, 2015) have proposed several estimators of population mean on current (second) occasion in two-occasion successive sampling.…”