Generalized Class of Estimators Using Dual of Auxiliary Variable Under Non-Response

Singh, G. N.; Usman, M.

doi:10.1007/s42519-021-00184-1

Cited by 3 publications

(3 citation statements)

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“…Many researchers have suggested various estimators by adequately modifying the supplementary variables including Singh and Espejo, 1 Grover and Kaur, 2 Shabbir et al, 3 Muneer et al, 4 Muili et al, 5 Grover and Kaur, 6 Singh and Usman, 7 Zaman and Kadilar, 8 Yadav and Zaman, 9 Zaman et al 10 In some cases, when sampling elements vary significantly in size, e.g. in a health survey, related to a number of patients having a precise disease, the size of health units may differ, correspondingly survey connected to the income of the household, a household may have the different number of relations, then in such circumstances, it is important to use PPS sampling scheme.…”

Section: Introductionmentioning

confidence: 99%

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Improved family of estimators for the population mean using supplementary variables under PPS sampling

et al. 2023

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In this article, we suggest an enhanced family of estimators for estimation of population mean employing the supplementary variables under probability proportional to size sampling. Up to the first order of approximation, numerical formulations of the bias and mean square error of estimators are obtained. From our suggested improved family of estimators, we give sixteen different members. The recommended family of estimators has specifically been used to derive the characteristics of sixteen estimators based on the known population parameters of the study as well as auxiliary variables. The performances of the suggested estimators have been assessed using three actual data. Furthermore, a simulation investigation is also accompanied to evaluate the effectiveness of estimators. The proposed estimators have a smaller MSE and an advanced PRE when linked to existing estimators, which are based on actual data sets and simulation studies. Theoretically and empirically studies also reveal that the suggested estimators accomplish well than the usual estimators.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Improved family of estimators for the population mean using supplementary variables under PPS sampling

et al. 2023

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“…Some more studies are available for estimation of mean considering the presence of the non-response. One can see for example, Singh and Usman [11], Unal and Kadilar [12], Sanaullah and Hanif [13], Ehsan and Sanaullah [14], Sanaullah et al, [15], Wu et al, [16], and Varshney and Mradula [17] among many other.…”

Section: Introductionmentioning

confidence: 99%

Combined Type Generalized Classes of Efficient Estimators of Mean in Joint Presence of Measurement Error and Non-response using Stratified Two-Phase Sampling

Sanaullah,

Sabir

2022

Scientia Iranica

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In this study, three classes of generalized and more efficient combined regression-cum-ratio estimators are presented to estimate the population mean of the study variable in stratified twophase sampling considering non-response and measurement error are present jointly. The expressions for the bias and mean square error of the three proposed generalized combined regression-cum-ratio estimators have been obtained. Optimal conditions which make the proposed generalized regression-cum-ratio estimators more efficient than modified combined regression estimator are discussed. The performance of the proposed generalized combined regression-cumratio estimators has been compared theoretically as well as empirically with various combined type estimators in stratified two-phase sampling including usual combined ratio estimator, usual combined exponential ratio estimator, usual combined regression estimator, and modified combined regression estimator. An empirical study shows that the proposed generalized combined regression-cum-ratio estimators perform more efficiently than all combined type ratio, exponential ratio, and regression estimators discussed in the study.

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Novel imputation methods under stratified simple random sampling

Kumar,

Bhushan,

Mustafa

et al. 2024

Alexandria Engineering Journal

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Generalized Class of Estimators Using Dual of Auxiliary Variable Under Non-Response

Cited by 3 publications

References 14 publications

Improved family of estimators for the population mean using supplementary variables under PPS sampling

Improved family of estimators for the population mean using supplementary variables under PPS sampling

Combined Type Generalized Classes of Efficient Estimators of Mean in Joint Presence of Measurement Error and Non-response using Stratified Two-Phase Sampling

Novel imputation methods under stratified simple random sampling

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