New modified ratio type estimator of the population mean using the known median of the study variable

Yadav, Subhash Kumar; Sharma, Dinesh K.; Mishra, S. S.

doi:10.1504/ijor.2021.115625

Cited by 3 publications

(1 citation statement)

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“…Singh et al 6 suggested an exponential approach for estimating population mean using two auxiliary variables in stratified random sampling. Yadav et al 8 proposed new modified ratio type estimator of the population mean using the known median of the study variable. Pal and Singh 9 discussed about estimation of finite population mean using auxiliary information in presence of non-response.…”

Section: Introductionmentioning

confidence: 99%

A new improved generalized class of estimators for population distribution function using auxiliary variable under simple random sampling

Ahmad

Ullah

Zahid

et al. 2023

Sci Rep

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This article aims to suggest a new improved generalized class of estimators for finite population distribution function of the study and the auxiliary variables as well as mean of the usual auxiliary variable under simple random sampling. The numerical expressions for the bias and mean squared error (MSE) are derived up to first degree of approximation. From our generalized class of estimators, we obtained two improved estimators. The gain in second proposed estimator is more as compared to first estimator. Three real data sets and a simulation are accompanied to measure the performances of our generalized class of estimators. The MSE of our proposed estimators is minimum and consequently percentage relative efficiency is higher as compared to their existing counterparts. From the numerical outcomes it has been shown that the proposed estimators perform well as compared to all considered estimators in this study.

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Section: Introductionmentioning

confidence: 99%

A new improved generalized class of estimators for population distribution function using auxiliary variable under simple random sampling

Ahmad

Ullah

Zahid

et al. 2023

Sci Rep

View full text Add to dashboard Cite

show abstract

A simulation based optimization of factor-type exponential estimators in sample surveys with coefficients of variation and kurtosis

Yadav,

Prasad

2023

Franklin Open

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An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

ÜNAL,

KADILAR

2023

Gazi University Journal of Science Part A: Engineering and Innovation

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In a sampling study, the complete information for the necessary variables may not always be available in practice. Therefore, the non-response situation has been considered for estimating the unknown population parameters with different types of estimators. The families of estimators are proposed for the population mean in the case of non-response under two different cases with the approach of an exponential function. Their properties are derived in detail. We compare these estimators with the main estimators in the literature to present the efficiencies, theoretically. Moreover, the three different empirical studies are illustrated and in that way, we found that the theoretical conclusion is supported by the obtained results numerically for each data set.

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New modified ratio type estimator of the population mean using the known median of the study variable

Cited by 3 publications

References 0 publications

A new improved generalized class of estimators for population distribution function using auxiliary variable under simple random sampling

A new improved generalized class of estimators for population distribution function using auxiliary variable under simple random sampling

A simulation based optimization of factor-type exponential estimators in sample surveys with coefficients of variation and kurtosis

An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

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