On non-negative and improved variance estimation for the ratio estimator under the Midzuno-Sen sampling scheme

Jigna Patel; P. A. Patel

doi:https://doi.org/10.59170/stattrans-2009-028

On non-negative and improved variance estimation for the ratio estimator under the Midzuno-Sen sampling scheme

Jigna Patel Department of Statistics, Sardar Patel University, Vallabh Vidhyanagar-388120, Gujarat, India , P. A. Patel Department of Statistics, Sardar Patel University, Vallabh Vidhyanagar-388120, Gujarat, India Statistics in Transition new series, vol. 10, 2009, 3, pages: 371-385 Published online: 1 December 2009 https://doi.org/10.59170/stattrans-2009-028

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ABSTRACT

Various studies on variance estimation showed that it is hard to single out a best and non-negative variance estimator in finite population. This paper attempts to find improved variance estimators for the ordinary ratio estimator under the Midzuno-Sen sampling scheme. A Monte Carlo comparison has been carried out. The suggested estimator has performed well and has taken non-negative values with probability 1.

KEYWORDS

Model-based estimation, Monte Carlo Simulation, Ratio estimator, Variance estimation

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