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The Murthy (1957) estimator has been extensively studied by various authors. The design based variance of the estimator has been studied by the various survey statisticians. The modifications of the Murthy (1957) estimator has been proposed by Shahbaz (2004) alongside the design based study. The model based study of the estimator has been presented in this monograph. We have also studied the stability of the variance estimator of the modified Murthy (1957) estimator under the linear super-population model. It has been observed that the anticipated variance of the modified Murthy (1957)…mehr

Produktbeschreibung
The Murthy (1957) estimator has been extensively studied by various authors. The design based variance of the estimator has been studied by the various survey statisticians. The modifications of the Murthy (1957) estimator has been proposed by Shahbaz (2004) alongside the design based study. The model based study of the estimator has been presented in this monograph. We have also studied the stability of the variance estimator of the modified Murthy (1957) estimator under the linear super-population model. It has been observed that the anticipated variance of the modified Murthy (1957) estimator achieves the Godambe-Joshi (1965) lower bound and the variance estimator is stable.
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Autorenporträt
Ms. Mariyam Hafeez is a research scholar at College of Statistical and Actuarial Sciences, University of the Punjab. Her field of interest is Survey Sampling. Muhammad Qaiser Shahbaz is working in Mathematics Department COMSATS Institute of IT. His interests are in Mathematical Statistics, Sampling and Statistical Modeling.