Browsing by Author "N.S. Dauran"

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Almost Unbiased Variance Estimators Under the Simultaneous Influence of Non-response and Measurement Errors
(Springer Science and Business Media Deutschland GmbH, 2022) Ahmed Audu; Rajesh Singh; Supriya Khare; N.S. Dauran
This paper addresses the problem of biases in variance estimators under the simultaneous influence of both measurement and non-response errors. Three classes of estimators are suggested and their properties are studied up to first order of approximation. Also, their efficiency conditions over some existing estimators are established. Resultant almost unbiased estimators of the proposed estimators are obtained and their properties are discussed. Theoretical results reveal that the suggested class of estimators under the measurement and non-response errors are more efficient. Results of simulation study also indicate superiority of suggested estimators over other estimators considered in the study. © 2022, Grace Scientific Publishing.
Classes of Estimators under New Calibration Schemes using Non-conventional Measures of Dispersion
(Philippine Statistical Association, Inc., 2021) A. Audu; R. Singh; S. Khare; N.S. Dauran
In this paper, we proposed two classes of estimators under two new calibration schemes for a heterogeneous population by incorporating auxiliary information of Non-Conventional Measures of dispersion which are robust against the presence of outlier in the data.Theoretical results are supported by simulation studies conducted on six bivariate populations generated using exponential and normal distributions. The biases and percentage relative efficiencies (PRE) of the proposed and other related estimators in the study were computed and results indicated that the estimators proposed under suggested calibration schemes perform on average more efficiently than conventional unbiased estimator, Rao and Khan (2016) and Nidhi et al. (2017). © 2021, Philippine Statistical Association, Inc.. All rights reserved.